تكلم مع الذكاء الاصطناعي
Deck 4: Techniques of Differentiation With Applications
ملء الشاشة (f)
سؤال
Find the slope of the tangent to the graph of the given function at the indicated point. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Evaluate the following derivative. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the slope of the tangent to the graph of the given function 
at the indicated point 
.
A)
B)
C)
D)
E)
at the indicated point .A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find all the values of x (if any)where the tangent line to the graph of the given equation is horizontal. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
If a stone is dropped from a height of 300 feet, its height s after t seconds is given by 
with s in feet. a. Find the stone s velocity at 
seconds. b. When does it reach the ground, and how fast is it travelling when it hits the ground? Round your answers to the nearest hundredth.
A)-100, 1.94, -77.46
B)-10, 3.87, -600.00
C)-200, 15.00, -600.00
D)200, 3.87, -154.92
E)-200, 3.87, -154.92
with s in feet. a. Find the stone s velocity at seconds. b. When does it reach the ground, and how fast is it travelling when it hits the ground? Round your answers to the nearest hundredth.A)-100, 1.94, -77.46
B)-10, 3.87, -600.00
C)-200, 15.00, -600.00
D)200, 3.87, -154.92
E)-200, 3.87, -154.92
سؤال
Given. 
Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.
A)no, 7
B)yes, 7
C)no, 0
D)yes, 5
E)yes, 0
Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.A)no, 7
B)yes, 7
C)no, 0
D)yes, 5
E)yes, 0
سؤال
For the cost function, find the marginal cost at the given production level x . 
A)$5.00 per item
B)$5.20 per item
C)$4.80 per item
D)$4.81 per item
E)$4.78 per item
A)$5.00 per item
B)$5.20 per item
C)$4.80 per item
D)$4.81 per item
E)$4.78 per item
سؤال
Evaluate the following derivative. 
سؤال
Find the slope of the tangent to the graph of the given function 
at the point 
.
A)
B)
C)
D)
E)
at the point .A)
B)
C)
D)
E)
سؤال
Given. 
Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________
Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________ سؤال
Use the shortcut rules to calculate the derivative of the given function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
سؤال
Given. 
Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________
Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________ سؤال
The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption (in milliliters per hour)can be approximated by 
where t is the time (in days)since the egg was laid. (An egg will typically hatch at around 
.)Find 
.
A)
B)
C)
D)
E)
where t is the time (in days)since the egg was laid. (An egg will typically hatch at around .)Find .A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
سؤال
Given. 
Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.
A)no, -5
B)no, -12
C)yes, 12
D)yes, -5
E)no, 5
Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.A)no, -5
B)no, -12
C)yes, 12
D)yes, -5
E)no, 5
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
For the cost function C ( x ), find the marginal cost at the given production level x . 
A)$39.96 per item
B)$49.95 per item
C)$49.97 per item
D)$51.25 per item
E)$40.00 per item
A)$39.96 per item
B)$49.95 per item
C)$49.97 per item
D)$51.25 per item
E)$40.00 per item
سؤال
Calculate 
. You need not expand your answer. 
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
سؤال
The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model: 
where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. Government clean-air subsidies to the firm are based on the formula 
where q is again the reduction in emissions (in pounds per day)and S is the subsidy (in dollars). Calculate the net cost function 
given the cost and subsidy above, and find the value of q that gives the lowest net cost. What is this lowest net cost?
A)q = $2, N ( q )= $2,300
B)q = $4, N ( q )= $2,300
C)q = $2, N ( q )= $4,600
D)q = $2.5, N ( q )= $2,375
E)q = $2.5, N ( q )= $2,300
where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. Government clean-air subsidies to the firm are based on the formula where q is again the reduction in emissions (in pounds per day)and S is the subsidy (in dollars). Calculate the net cost function given the cost and subsidy above, and find the value of q that gives the lowest net cost. What is this lowest net cost?A)q = $2, N ( q )= $2,300
B)q = $4, N ( q )= $2,300
C)q = $2, N ( q )= $4,600
D)q = $2.5, N ( q )= $2,375
E)q = $2.5, N ( q )= $2,300
سؤال
Your company is planning to air a number of television commercials during the ABC television network s presentation of the Academy Awards. ABC is charging your company $795,000 per 30-second spot. Additional fixed costs (development and personnel costs)amount to $400,000, and the network has agreed to provide a discount of 
for x television spots. Compute marginal cost 
and average cost 
.
A)
B)
C)
D)
E)
for x television spots. Compute marginal cost and average cost .A)
B)
C)
D)
E)
سؤال
The cost of producing x teddy bears per day at the Cuddly Companion Company is calculated by their marketing staff to be given by the formula 
. Evaluate the average cost 
.
A)$32.00
B)$29.50
C)$28.00
D)$3,249.50
E)$3,200.00
. Evaluate the average cost .A)$32.00
B)$29.50
C)$28.00
D)$3,249.50
E)$3,200.00
سؤال
Assume that the demand function for tuna in a small coastal town is given by 
where p is the price (in dollars)per pound of tuna and q is the number of pounds of tuna that can be sold at the price p in 1 month. Calculate the price that the town s fishery should charge for tuna in order to produce a demand of 625 pounds of tuna per month.
A)$1
B)$32
C)$1,200
D)$800
E)$2
where p is the price (in dollars)per pound of tuna and q is the number of pounds of tuna that can be sold at the price p in 1 month. Calculate the price that the town s fishery should charge for tuna in order to produce a demand of 625 pounds of tuna per month.A)$1
B)$32
C)$1,200
D)$800
E)$2
سؤال
The cost, in thousands of dollars, of airing x television commercials during a Super Bowl game is given by the formula 
. Estimate how fast (in dollars per television commercial)the cost is going up when x = 8.
A)$1,500
B)$1,500,032
C)$1,500,0
D)$1,499,984
E)$1,499,968
. Estimate how fast (in dollars per television commercial)the cost is going up when x = 8.A)$1,500
B)$1,500,032
C)$1,500,0
D)$1,499,984
E)$1,499,968
سؤال
Your Porsche s gas mileage (in miles per gallon)is given as a function M ( x )of speed x in miles per hour. It is found that 
. Find M (30), M (70)and M (95).
A)M '(70)= 0.0049, M '(30)= 0, M '(95)= -0.000051
B)M '(70)= 0.0049, M '(70)= 0, M '(95)= -0.000051
C)M '(30)= 0.0049, M '(70)= 0, M '(95)= -0.000051
D)M '(30)= 0.0001, M '(70)= -0.0049, M '(95)= 0
E)M '(30)= 0.0001, M '(70)= 0, M '(95)= -0.0049
. Find M (30), M (70)and M (95).A)M '(70)= 0.0049, M '(30)= 0, M '(95)= -0.000051
B)M '(70)= 0.0049, M '(70)= 0, M '(95)= -0.000051
C)M '(30)= 0.0049, M '(70)= 0, M '(95)= -0.000051
D)M '(30)= 0.0001, M '(70)= -0.0049, M '(95)= 0
E)M '(30)= 0.0001, M '(70)= 0, M '(95)= -0.0049
سؤال
Find the value of x for which the marginal profit is zero. 
A)x = -5,000
B)x = 10,000
C)x = 5,000
D)x = 7,000
E)x = 2,500
A)x = -5,000
B)x = 10,000
C)x = 5,000
D)x = 7,000
E)x = 2,500
سؤال
The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model: 
where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. If a firm is currently reducing its emissions by 7 pounds each day, what is the marginal cost of reducing emissions even further?
A)$1,400
B)$2,800
C)$7,800
D)$2,100
E)$700
where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. If a firm is currently reducing its emissions by 7 pounds each day, what is the marginal cost of reducing emissions even further?A)$1,400
B)$2,800
C)$7,800
D)$2,100
E)$700
سؤال
Calculate 
. You need not expand your answer. 
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
سؤال
Calculate 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
The estimated marginal revenue for sales of ESU soccer team T-shirts is given by 
where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.
A)R '(5)= 0.0049, R '(8)= 0, R '(1)= -3.9987
B)R '(1)= 3.9987, R '(5)= -0.0049, R '(8)= 0
C)R '(1)= -3.9987, R '(5)= 0, R '(8)= -0.0049
D)R '(1)= 0.0049, R '(5)= 0, R '(8)= -3.9987
E)R '(5)= 0.0049, R '(1)= 0, R '(8)= -3.9987
where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.A)R '(5)= 0.0049, R '(8)= 0, R '(1)= -3.9987
B)R '(1)= 3.9987, R '(5)= -0.0049, R '(8)= 0
C)R '(1)= -3.9987, R '(5)= 0, R '(8)= -0.0049
D)R '(1)= 0.0049, R '(5)= 0, R '(8)= -3.9987
E)R '(5)= 0.0049, R '(1)= 0, R '(8)= -3.9987
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Calculate 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Calculate 
. You need not expand your answer. 
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
سؤال
Calculate 
. You need not expand your answer. 
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
سؤال
According to the equation given, a toy manufacturer calculates its daily profit P (in dollars)based on the number of workers n it employs. 
Calculate the marginal product at an employment level of 100 workers.
A)$39,960
B)$36,000
C)$3,999,960
D)$320
E)$440
Calculate the marginal product at an employment level of 100 workers.A)$39,960
B)$36,000
C)$3,999,960
D)$320
E)$440
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Your monthly profit (in dollars)from selling magazines is given by 
where x is the number of magazines you sell in a month. If you are currently selling x = 100 magazines per month, find your profit and your marginal profit.
A)P (100)= $215, P '(100)= $2.08
B)P (100)= $430, P '(100)= $4.15
C)P (100)= $417.32, P '(100)= $0.35
D)P (100)= $417.32, P '(100)= $4.15
E)P (100)= $860, P '(100)= $4.65
where x is the number of magazines you sell in a month. If you are currently selling x = 100 magazines per month, find your profit and your marginal profit.A)P (100)= $215, P '(100)= $2.08
B)P (100)= $430, P '(100)= $4.15
C)P (100)= $417.32, P '(100)= $0.35
D)P (100)= $417.32, P '(100)= $4.15
E)P (100)= $860, P '(100)= $4.65
سؤال
The monthly sales of Sunny Electronics new stereo system is given by 
hundred units per month, 
months after its introduction. The price Sunny charges is 
dollars per stereo system, 
months after its introduction. The revenue Sunny earns then must be 
. Find the rate of change of revenue 
months after introduction. Please enter your answer in dollars/month without the units.
hundred units per month, months after its introduction. The price Sunny charges is dollars per stereo system, months after its introduction. The revenue Sunny earns then must be . Find the rate of change of revenue months after introduction. Please enter your answer in dollars/month without the units. سؤال
Find the equation of the line tangent to the graph of the given function at the point 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
The Verhulst model for population growth specifies the reproductive rate of an organism as a function of the total population according to the following formula: 
where p is the total population in thousands of organisms, 
and 
are constants that depend on the particular circumstances and organism being studied, and 
is the reproduction rate in thousands of organisms per hour. If 
and 
, find 
.
A)
B)
C)
D)
E)
where p is the total population in thousands of organisms, and are constants that depend on the particular circumstances and organism being studied, and is the reproduction rate in thousands of organisms per hour. If and , find .A)
B)
C)
D)
E)
سؤال
Find the equation of the line tangent to the graph of the given function at the point with 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
The Thoroughbred Bus Company finds that its monthly costs for one particular year were given by 
dollars after 
months. After 
months, the company had 
passengers per month. How fast was its cost per passenger changing after 
months?
A)$0.39 per month
B)$0.01 per month
C)-$0.18 per month
D)$0.29 per month
E)$0.10 per month
dollars after months. After months, the company had passengers per month. How fast was its cost per passenger changing after months?A)$0.39 per month
B)$0.01 per month
C)-$0.18 per month
D)$0.29 per month
E)$0.10 per month
سؤال
Compute the indicated derivative using the chain rule. 
A)-4
B)8
C)
D)-2
E)
A)-4
B)8
C)
D)-2
E)
سؤال
Your Porche s gas mileage (in miles per gallon)is given as a function 
of speed 
in miles per hour. 
Calculate 
.
A)
B)
C)
D)
E)
of speed in miles per hour. Calculate .A)
B)
C)
D)
E)
سؤال
Calculate the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the indicated derivative. 
Please round the answer to the nearest hundredth.
A)
B)
C)
D)
E)
Please round the answer to the nearest hundredth.A)
B)
C)
D)
E)
سؤال
The Thoroughbred Bus Company finds that its monthly costs for one particular year were given by 
dollars after 
months. After 
months, the company had 
passengers per month. How fast was its cost per passenger changing after 
months? Enter your answer in dollars/month rounded to the nearest cent and without the units.
dollars after months. After months, the company had passengers per month. How fast was its cost per passenger changing after months? Enter your answer in dollars/month rounded to the nearest cent and without the units. سؤال
Calculate 
. You need not expand your answer. 
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
سؤال
Compute the derivative. 
A)92
B)36
C)59
D)72
E)78
A)92
B)36
C)59
D)72
E)78
سؤال
Compute the derivative. 
A)9
B)5
C)3
D)0
E)1
A)9
B)5
C)3
D)0
E)1
سؤال
Find the indicated derivative. 
Please round the answer to the nearest hundredth.
A)
B)
C)
D)
E)
Please round the answer to the nearest hundredth.A)
B)
C)
D)
E)
سؤال
The monthly sales of Sunny Electronics new stereo system is given by 
hundred units per month, 
months after its introduction. The price Sunny charges is 
dollars per stereo system, 
months after its introduction. The revenue Sunny earns then must be 
. Find the rate of change of revenue 
months after introduction.
A)-$473,000 per month
B)-$567,500 per month
C)$31,840 per month
D)$318,400 per month
E)$197,600 per month
hundred units per month, months after its introduction. The price Sunny charges is dollars per stereo system, months after its introduction. The revenue Sunny earns then must be . Find the rate of change of revenue months after introduction.A)-$473,000 per month
B)-$567,500 per month
C)$31,840 per month
D)$318,400 per month
E)$197,600 per month
سؤال
Calculate 
. You need not expand your answer. 
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
سؤال
Find the equation of the line tangent to the graph of the given function at the point 
. 
. سؤال
Find the indicated derivative. The independent variable is a function of 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Calculate the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Compute the indicated derivative using the chain rule. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
The soap bubble I am blowing has a radius that is growing at a rate of 9 cm/s. How fast is the surface area growing when the radius is 14 cm? (The surface area of a sphere of radius r is 
.)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Find the derivative of the following function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
The Pentagon is planning to build a new satellite that will be spherical. As is typical in these cases, the specifications keep changing, so that the size of the satellite keeps growing. In fact, the radius of the planned satellite is growing 0.5 foot/week. Its cost will be $1,000 per cubic foot. At the point when the plans call for a satellite 5 feet in radius, how fast is the cost growing? (The volume of a solid sphere of radius r is 
.)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Compute the indicated derivative using the chain rule. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 7 miles per hour, find the rate at which the area is increasing when the radius is 6 miles. (The area of a disc of radius r is 
.)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
سؤال
Match between columns
سؤال
Find the equation of the tangent line for 
at the point 
.
A)
B)
C)
D)
E)
at the point .A)
B)
C)
D)
E)
سؤال
A mold culture in a dorm refrigerator is circular and growing. The radius is increasing at a rate of 0.4 cm/day. How fast is the area growing when the culture is 3 centimeters in radius? (The area of a disc of radius r is 
.)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
سؤال
Calculate the derivative of the function. 
Please enter your answer as an expression.
Please enter your answer as an expression. سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Calculate the derivative of the function. 
سؤال
Find the derivative of the following function. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The number P of CDs the Snappy Hardware Co. can manufacture at its plant in one day is given by 
where x is the number of workers at the plant and y is the annual expenditure at the plant (in dollars). Compute 
at a production level of 24,000 CDs per day and 
.
where x is the number of workers at the plant and y is the annual expenditure at the plant (in dollars). Compute at a production level of 24,000 CDs per day and . سؤال
The demand for the Cyberpunk II arcade video game is modeled by the logistic curve 
where q ( t )is the total number of units sold t months after the game s introduction. Use technology to estimate 
. Assume that the manufacturers of Cyberpunk II sell each unit for $600. What is the company s marginal revenue, 
? Use the chain rule to estimate the rate at which revenue is growing 5 months after the introduction of the video game. Please round each answer to the nearest whole number.
A)
B)
C)
D)
E)
where q ( t )is the total number of units sold t months after the game s introduction. Use technology to estimate . Assume that the manufacturers of Cyberpunk II sell each unit for $600. What is the company s marginal revenue, ? Use the chain rule to estimate the rate at which revenue is growing 5 months after the introduction of the video game. Please round each answer to the nearest whole number.A)
B)
C)
D)
E)
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/106
العب
ملء الشاشة (f)
Deck 4: Techniques of Differentiation With Applications
1
Find the slope of the tangent to the graph of the given function at the indicated point.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Evaluate the following derivative.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the slope of the tangent to the graph of the given function at the indicated point .
A)
B)
C)
D)
E)
at the indicated point .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
5
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
6
Find all the values of x (if any)where the tangent line to the graph of the given equation is horizontal.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
7
If a stone is dropped from a height of 300 feet, its height s after t seconds is given by with s in feet. a. Find the stone s velocity at seconds. b. When does it reach the ground, and how fast is it travelling when it hits the ground? Round your answers to the nearest hundredth.
A)-100, 1.94, -77.46
B)-10, 3.87, -600.00
C)-200, 15.00, -600.00
D)200, 3.87, -154.92
E)-200, 3.87, -154.92
with s in feet. a. Find the stone s velocity at seconds. b. When does it reach the ground, and how fast is it travelling when it hits the ground? Round your answers to the nearest hundredth.A)-100, 1.94, -77.46
B)-10, 3.87, -600.00
C)-200, 15.00, -600.00
D)200, 3.87, -154.92
E)-200, 3.87, -154.92
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
8
Given. Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.
A)no, 7
B)yes, 7
C)no, 0
D)yes, 5
E)yes, 0
Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.A)no, 7
B)yes, 7
C)no, 0
D)yes, 5
E)yes, 0
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
9
For the cost function, find the marginal cost at the given production level x .
A)$5.00 per item
B)$5.20 per item
C)$4.80 per item
D)$4.81 per item
E)$4.78 per item
A)$5.00 per item
B)$5.20 per item
C)$4.80 per item
D)$4.81 per item
E)$4.78 per item
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
10
Evaluate the following derivative.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
11
Find the slope of the tangent to the graph of the given function at the point .
A)
B)
C)
D)
E)
at the point .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
12
Given. Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________
Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________ فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
13
Use the shortcut rules to calculate the derivative of the given function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
14
Find the derivative of the function.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
15
Given. Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________
Say whether L Hospital s rule applies. __________ It is does, use it to evaluate the given limit. If not, use some other method. __________ فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
16
The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption (in milliliters per hour)can be approximated by where t is the time (in days)since the egg was laid. (An egg will typically hatch at around .)Find .
A)
B)
C)
D)
E)
where t is the time (in days)since the egg was laid. (An egg will typically hatch at around .)Find .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
17
Find the derivative of the function.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
18
Given. Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.
A)no, -5
B)no, -12
C)yes, 12
D)yes, -5
E)no, 5
Say whether L Hospital s rule applies. It is does, use it to evaluate the given limit. If not, use some other method.A)no, -5
B)no, -12
C)yes, 12
D)yes, -5
E)no, 5
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
19
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
20
For the cost function C ( x ), find the marginal cost at the given production level x .
A)$39.96 per item
B)$49.95 per item
C)$49.97 per item
D)$51.25 per item
E)$40.00 per item
A)$39.96 per item
B)$49.95 per item
C)$49.97 per item
D)$51.25 per item
E)$40.00 per item
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
21
Calculate . You need not expand your answer.
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
22
The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model: where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. Government clean-air subsidies to the firm are based on the formula where q is again the reduction in emissions (in pounds per day)and S is the subsidy (in dollars). Calculate the net cost function given the cost and subsidy above, and find the value of q that gives the lowest net cost. What is this lowest net cost?
A)q = $2, N ( q )= $2,300
B)q = $4, N ( q )= $2,300
C)q = $2, N ( q )= $4,600
D)q = $2.5, N ( q )= $2,375
E)q = $2.5, N ( q )= $2,300
where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. Government clean-air subsidies to the firm are based on the formula where q is again the reduction in emissions (in pounds per day)and S is the subsidy (in dollars). Calculate the net cost function given the cost and subsidy above, and find the value of q that gives the lowest net cost. What is this lowest net cost?A)q = $2, N ( q )= $2,300
B)q = $4, N ( q )= $2,300
C)q = $2, N ( q )= $4,600
D)q = $2.5, N ( q )= $2,375
E)q = $2.5, N ( q )= $2,300
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
23
Your company is planning to air a number of television commercials during the ABC television network s presentation of the Academy Awards. ABC is charging your company $795,000 per 30-second spot. Additional fixed costs (development and personnel costs)amount to $400,000, and the network has agreed to provide a discount of for x television spots. Compute marginal cost and average cost .
A)
B)
C)
D)
E)
for x television spots. Compute marginal cost and average cost .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
24
The cost of producing x teddy bears per day at the Cuddly Companion Company is calculated by their marketing staff to be given by the formula . Evaluate the average cost .
A)$32.00
B)$29.50
C)$28.00
D)$3,249.50
E)$3,200.00
. Evaluate the average cost .A)$32.00
B)$29.50
C)$28.00
D)$3,249.50
E)$3,200.00
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
25
Assume that the demand function for tuna in a small coastal town is given by where p is the price (in dollars)per pound of tuna and q is the number of pounds of tuna that can be sold at the price p in 1 month. Calculate the price that the town s fishery should charge for tuna in order to produce a demand of 625 pounds of tuna per month.
A)$1
B)$32
C)$1,200
D)$800
E)$2
where p is the price (in dollars)per pound of tuna and q is the number of pounds of tuna that can be sold at the price p in 1 month. Calculate the price that the town s fishery should charge for tuna in order to produce a demand of 625 pounds of tuna per month.A)$1
B)$32
C)$1,200
D)$800
E)$2
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
26
The cost, in thousands of dollars, of airing x television commercials during a Super Bowl game is given by the formula . Estimate how fast (in dollars per television commercial)the cost is going up when x = 8.
A)$1,500
B)$1,500,032
C)$1,500,0
D)$1,499,984
E)$1,499,968
. Estimate how fast (in dollars per television commercial)the cost is going up when x = 8.A)$1,500
B)$1,500,032
C)$1,500,0
D)$1,499,984
E)$1,499,968
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
27
Your Porsche s gas mileage (in miles per gallon)is given as a function M ( x )of speed x in miles per hour. It is found that . Find M (30), M (70)and M (95).
A)M '(70)= 0.0049, M '(30)= 0, M '(95)= -0.000051
B)M '(70)= 0.0049, M '(70)= 0, M '(95)= -0.000051
C)M '(30)= 0.0049, M '(70)= 0, M '(95)= -0.000051
D)M '(30)= 0.0001, M '(70)= -0.0049, M '(95)= 0
E)M '(30)= 0.0001, M '(70)= 0, M '(95)= -0.0049
. Find M (30), M (70)and M (95).A)M '(70)= 0.0049, M '(30)= 0, M '(95)= -0.000051
B)M '(70)= 0.0049, M '(70)= 0, M '(95)= -0.000051
C)M '(30)= 0.0049, M '(70)= 0, M '(95)= -0.000051
D)M '(30)= 0.0001, M '(70)= -0.0049, M '(95)= 0
E)M '(30)= 0.0001, M '(70)= 0, M '(95)= -0.0049
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
28
Find the value of x for which the marginal profit is zero.
A)x = -5,000
B)x = 10,000
C)x = 5,000
D)x = 7,000
E)x = 2,500
A)x = -5,000
B)x = 10,000
C)x = 5,000
D)x = 7,000
E)x = 2,500
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
29
The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model: where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. If a firm is currently reducing its emissions by 7 pounds each day, what is the marginal cost of reducing emissions even further?
A)$1,400
B)$2,800
C)$7,800
D)$2,100
E)$700
where q is the reduction in emissions (in pounds of pollutant per day)and C is the daily cost (in dollars)of this reduction. If a firm is currently reducing its emissions by 7 pounds each day, what is the marginal cost of reducing emissions even further?A)$1,400
B)$2,800
C)$7,800
D)$2,100
E)$700
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
30
Calculate . You need not expand your answer.
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
31
Calculate .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
32
The estimated marginal revenue for sales of ESU soccer team T-shirts is given by where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.
A)R '(5)= 0.0049, R '(8)= 0, R '(1)= -3.9987
B)R '(1)= 3.9987, R '(5)= -0.0049, R '(8)= 0
C)R '(1)= -3.9987, R '(5)= 0, R '(8)= -0.0049
D)R '(1)= 0.0049, R '(5)= 0, R '(8)= -3.9987
E)R '(5)= 0.0049, R '(1)= 0, R '(8)= -3.9987
where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.A)R '(5)= 0.0049, R '(8)= 0, R '(1)= -3.9987
B)R '(1)= 3.9987, R '(5)= -0.0049, R '(8)= 0
C)R '(1)= -3.9987, R '(5)= 0, R '(8)= -0.0049
D)R '(1)= 0.0049, R '(5)= 0, R '(8)= -3.9987
E)R '(5)= 0.0049, R '(1)= 0, R '(8)= -3.9987
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
33
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
34
Calculate .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
35
Calculate . You need not expand your answer.
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
36
Calculate . You need not expand your answer.
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
37
According to the equation given, a toy manufacturer calculates its daily profit P (in dollars)based on the number of workers n it employs. Calculate the marginal product at an employment level of 100 workers.
A)$39,960
B)$36,000
C)$3,999,960
D)$320
E)$440
Calculate the marginal product at an employment level of 100 workers.A)$39,960
B)$36,000
C)$3,999,960
D)$320
E)$440
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
38
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
39
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
40
Your monthly profit (in dollars)from selling magazines is given by where x is the number of magazines you sell in a month. If you are currently selling x = 100 magazines per month, find your profit and your marginal profit.
A)P (100)= $215, P '(100)= $2.08
B)P (100)= $430, P '(100)= $4.15
C)P (100)= $417.32, P '(100)= $0.35
D)P (100)= $417.32, P '(100)= $4.15
E)P (100)= $860, P '(100)= $4.65
where x is the number of magazines you sell in a month. If you are currently selling x = 100 magazines per month, find your profit and your marginal profit.A)P (100)= $215, P '(100)= $2.08
B)P (100)= $430, P '(100)= $4.15
C)P (100)= $417.32, P '(100)= $0.35
D)P (100)= $417.32, P '(100)= $4.15
E)P (100)= $860, P '(100)= $4.65
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
41
The monthly sales of Sunny Electronics new stereo system is given by hundred units per month, months after its introduction. The price Sunny charges is dollars per stereo system, months after its introduction. The revenue Sunny earns then must be . Find the rate of change of revenue months after introduction. Please enter your answer in dollars/month without the units.
hundred units per month, months after its introduction. The price Sunny charges is dollars per stereo system, months after its introduction. The revenue Sunny earns then must be . Find the rate of change of revenue months after introduction. Please enter your answer in dollars/month without the units. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
42
Find the equation of the line tangent to the graph of the given function at the point .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
43
The Verhulst model for population growth specifies the reproductive rate of an organism as a function of the total population according to the following formula: where p is the total population in thousands of organisms, and are constants that depend on the particular circumstances and organism being studied, and is the reproduction rate in thousands of organisms per hour. If and , find .
A)
B)
C)
D)
E)
where p is the total population in thousands of organisms, and are constants that depend on the particular circumstances and organism being studied, and is the reproduction rate in thousands of organisms per hour. If and , find .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
44
Find the equation of the line tangent to the graph of the given function at the point with .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
45
The Thoroughbred Bus Company finds that its monthly costs for one particular year were given by dollars after months. After months, the company had passengers per month. How fast was its cost per passenger changing after months?
A)$0.39 per month
B)$0.01 per month
C)-$0.18 per month
D)$0.29 per month
E)$0.10 per month
dollars after months. After months, the company had passengers per month. How fast was its cost per passenger changing after months?A)$0.39 per month
B)$0.01 per month
C)-$0.18 per month
D)$0.29 per month
E)$0.10 per month
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
46
Compute the indicated derivative using the chain rule.
A)-4
B)8
C)
D)-2
E)
A)-4
B)8
C)
D)-2
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
47
Your Porche s gas mileage (in miles per gallon)is given as a function of speed in miles per hour. Calculate .
A)
B)
C)
D)
E)
of speed in miles per hour. Calculate .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
48
Calculate the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
49
Find the indicated derivative. Please round the answer to the nearest hundredth.
A)
B)
C)
D)
E)
Please round the answer to the nearest hundredth.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
50
The Thoroughbred Bus Company finds that its monthly costs for one particular year were given by dollars after months. After months, the company had passengers per month. How fast was its cost per passenger changing after months? Enter your answer in dollars/month rounded to the nearest cent and without the units.
dollars after months. After months, the company had passengers per month. How fast was its cost per passenger changing after months? Enter your answer in dollars/month rounded to the nearest cent and without the units. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
51
Calculate . You need not expand your answer.
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
52
Compute the derivative.
A)92
B)36
C)59
D)72
E)78
A)92
B)36
C)59
D)72
E)78
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
53
Compute the derivative.
A)9
B)5
C)3
D)0
E)1
A)9
B)5
C)3
D)0
E)1
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
54
Find the indicated derivative. Please round the answer to the nearest hundredth.
A)
B)
C)
D)
E)
Please round the answer to the nearest hundredth.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
55
The monthly sales of Sunny Electronics new stereo system is given by hundred units per month, months after its introduction. The price Sunny charges is dollars per stereo system, months after its introduction. The revenue Sunny earns then must be . Find the rate of change of revenue months after introduction.
A)-$473,000 per month
B)-$567,500 per month
C)$31,840 per month
D)$318,400 per month
E)$197,600 per month
hundred units per month, months after its introduction. The price Sunny charges is dollars per stereo system, months after its introduction. The revenue Sunny earns then must be . Find the rate of change of revenue months after introduction.A)-$473,000 per month
B)-$567,500 per month
C)$31,840 per month
D)$318,400 per month
E)$197,600 per month
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
56
Calculate . You need not expand your answer.
A)
B)
C)
D)
E)
. You need not expand your answer. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
57
Find the equation of the line tangent to the graph of the given function at the point .
. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
58
Find the indicated derivative. The independent variable is a function of .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
59
Calculate the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
60
Compute the indicated derivative using the chain rule.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
61
Find the derivative of the function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
62
The soap bubble I am blowing has a radius that is growing at a rate of 9 cm/s. How fast is the surface area growing when the radius is 14 cm? (The surface area of a sphere of radius r is .)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
63
Find the derivative of the function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
64
Find the derivative of the following function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
65
The Pentagon is planning to build a new satellite that will be spherical. As is typical in these cases, the specifications keep changing, so that the size of the satellite keeps growing. In fact, the radius of the planned satellite is growing 0.5 foot/week. Its cost will be $1,000 per cubic foot. At the point when the plans call for a satellite 5 feet in radius, how fast is the cost growing? (The volume of a solid sphere of radius r is .)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
66
Find the derivative of the function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
67
Find the derivative of the function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
68
Find the derivative of the function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
69
Compute the indicated derivative using the chain rule.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
70
An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 7 miles per hour, find the rate at which the area is increasing when the radius is 6 miles. (The area of a disc of radius r is .)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
71
Match between columns
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
72
Find the equation of the tangent line for at the point .
A)
B)
C)
D)
E)
at the point .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
73
A mold culture in a dorm refrigerator is circular and growing. The radius is increasing at a rate of 0.4 cm/day. How fast is the area growing when the culture is 3 centimeters in radius? (The area of a disc of radius r is .)
A)
B)
C)
D)
E)
.)A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
74
Calculate the derivative of the function. Please enter your answer as an expression.
Please enter your answer as an expression. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
75
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
76
Calculate the derivative of the function.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
77
Find the derivative of the following function.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
78
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
79
The number P of CDs the Snappy Hardware Co. can manufacture at its plant in one day is given by where x is the number of workers at the plant and y is the annual expenditure at the plant (in dollars). Compute at a production level of 24,000 CDs per day and .
where x is the number of workers at the plant and y is the annual expenditure at the plant (in dollars). Compute at a production level of 24,000 CDs per day and . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
80
The demand for the Cyberpunk II arcade video game is modeled by the logistic curve where q ( t )is the total number of units sold t months after the game s introduction. Use technology to estimate . Assume that the manufacturers of Cyberpunk II sell each unit for $600. What is the company s marginal revenue, ? Use the chain rule to estimate the rate at which revenue is growing 5 months after the introduction of the video game. Please round each answer to the nearest whole number.
A)
B)
C)
D)
E)
where q ( t )is the total number of units sold t months after the game s introduction. Use technology to estimate . Assume that the manufacturers of Cyberpunk II sell each unit for $600. What is the company s marginal revenue, ? Use the chain rule to estimate the rate at which revenue is growing 5 months after the introduction of the video game. Please round each answer to the nearest whole number.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
