تكلم مع الذكاء الاصطناعي
Deck 9: Exponential and Logarithmic Functions and Calculus
ملء الشاشة (f)
سؤال
The table lists the approximate value V of a mid-sized sedan for the years 2003 through 2009. The variable t represents the time in years, with 
corresponding to 2003. Use the regression capabilities of a graphing utility to fit an exponential model to the data. Round all numerical values in your answer to four decimal places. Your answer may be slightly different depending on the number of digits your graphing utility uses in computations. 
A)
B)
C)
D)
E)
corresponding to 2003. Use the regression capabilities of a graphing utility to fit an exponential model to the data. Round all numerical values in your answer to four decimal places. Your answer may be slightly different depending on the number of digits your graphing utility uses in computations. A)
B)
C)
D)
E)
سؤال
Use implicit differentiation to find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Use implicit differentiation to find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
The value V (in dollars) of an item t years after it is purchased is 
. Find the rate of change of V with respect to t when 
. Round your answer to two decimal places.
A)-1839.21 dollars/year
B)245.40 dollars/year
C)-1324.10 dollars/year
D)1839.21 dollars/year
E)-245.40 dollars/year
. Find the rate of change of V with respect to t when . Round your answer to two decimal places.A)-1839.21 dollars/year
B)245.40 dollars/year
C)-1324.10 dollars/year
D)1839.21 dollars/year
E)-245.40 dollars/year
سؤال
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Differentiate the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Suppose the table below shows the temperature 
at which a given liquid boils at selected pressures p (pounds per square inch). A model that approximates the data is 
. Find the rate of change of T with respect to p when 
. Round your answer to two decimal places.p51014.696(1 atm)2030406080100T327.43404.29448.84485.71536.18573.59629.02670.61704.38
A)5.34
B)4.25
C)152.22
D)153.31
E)1.09
at which a given liquid boils at selected pressures p (pounds per square inch). A model that approximates the data is . Find the rate of change of T with respect to p when . Round your answer to two decimal places.p51014.696(1 atm)2030406080100T327.43404.29448.84485.71536.18573.59629.02670.61704.38A)5.34
B)4.25
C)152.22
D)153.31
E)1.09
سؤال
Find the following limit if it exists: 
. Use 
when appropriate.
A)
B)does not exist
C)4
D)
E)1
. Use when appropriate.A)
B)does not exist
C)4
D)
E)1
سؤال
Find an equation of the tangent line to the graph of 
at the point (0,1) .
A)
B)
C)
D)
E)
at the point (0,1) .A)
B)
C)
D)
E)
سؤال
Use logarithmic differentiation to find the derivative of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Suppose the term of a mortgage t (in years) can be approximated by 
where x is the monthly payment in dollars. Use the model to approximate the term of a home mortgage for which the monthly payment is 
. What is the total amount paid? Round your answer to the nearest cent. Your answer may be slightly different depending on the number of digits your technology uses in computations.
A)$1284.55
B)$308,293.13
C)$15,414.66
D)$51,382.19
E)$616,586.26
where x is the monthly payment in dollars. Use the model to approximate the term of a home mortgage for which the monthly payment is . What is the total amount paid? Round your answer to the nearest cent. Your answer may be slightly different depending on the number of digits your technology uses in computations.A)$1284.55
B)$308,293.13
C)$15,414.66
D)$51,382.19
E)$616,586.26
سؤال
Use implicit differentiation to find 
. 
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
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
Evaluate the definite integral. 
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
Locate any relative extrema and inflection points of the function 
. Use a graphing utility to confirm your results.
A)relative maximum value:
; inflection point: (0, 0)
B)relative minimum value:
; inflection point: (0, 0)
C)relative minimum value:
; no inflection points
D)relative minimum value:
; no inflection points
E)relative maximum value:
; no inflection points
. Use a graphing utility to confirm your results.A)relative maximum value:
; inflection point: (0, 0)B)relative minimum value:
; inflection point: (0, 0)C)relative minimum value:
; no inflection pointsD)relative minimum value:
; no inflection pointsE)relative maximum value:
; no inflection points سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the indefinite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the graphs of the equations 
Round your answer to four decimal places.
A)7.2383
B)9.7889
C)10.7889
D)6.5452
E)7.5452
Round your answer to four decimal places.A)7.2383
B)9.7889
C)10.7889
D)6.5452
E)7.5452
سؤال
Find 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
The rate of change in sales S is inversely proportional to time 
measured in weeks. Find S as a function of t if sales after 3 and 9 weeks are 250 units and 450 units respectively.
A)
B)
C)
D)
E)
measured in weeks. Find S as a function of t if sales after 3 and 9 weeks are 250 units and 450 units respectively.A)
B)
C)
D)
E)
سؤال
Solve the differential equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the area of the region given below bounded by the graph of 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Suppose a population of bacteria is changing at a rate of 
where t is the time in days. The initial population (when t = 0) is 1000. Write an equation that gives the population at any time t.
A)
B)
C)
D)
E)
where t is the time in days. The initial population (when t = 0) is 1000. Write an equation that gives the population at any time t.A)
B)
C)
D)
E)
سؤال
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
given 
.
A)
B)
C)
D)
E)
given .A)
B)
C)
D)
E)
سؤال
Solve the differential equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the time required for an object to cool from 
by evaluating 
, where t is time in minutes. Round your answer to four decimal places.
A)7.1728 minutes
B)4.5256 minutes
C)4.9328 minutes
D)6.5208 minutes
E)4.1141 minutes
by evaluating , where t is time in minutes. Round your answer to four decimal places.A)7.1728 minutes
B)4.5256 minutes
C)4.9328 minutes
D)6.5208 minutes
E)4.1141 minutes
سؤال
Find 
if 
..
A)
B)
C)
D)
E)
if ..A)
B)
C)
D)
E)
سؤال
Find the indefinite integral of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the indefinite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Suppose the demand equation for a product is 
Find the average price p on the interval 
. Round your answer to the nearest dollar.
A)$67
B)$74
C)$86
D)$106
E)$732
Find the average price p on the interval . Round your answer to the nearest dollar.A)$67
B)$74
C)$86
D)$106
E)$732
سؤال
Solve the differential equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Evaluate the definite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Solve the differential equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Suppose that the population (in millions) of Egypt in 2007 was 80.3 and that the expected continuous annual rate of change of the population is 0.017. Find the exponential growth model 
for the population by letting 
correspond to 2000. Round your answer to four decimal places.
A)
B)
C)
D)
E)
for the population by letting correspond to 2000. Round your answer to four decimal places.A)
B)
C)
D)
E)
سؤال
Write and solve the differential equation that models the following verbal statement:The rate of change of y with respect to r is proportional to 
.
A)
, 
B)
, 
C)
, 
D)
, 
E)
, 
.A)
, B)
, C)
, D)
, E)
, سؤال
Find the function 
passing through the point 
with the first derivative 
.
A)
B)
C)
D)
E)
passing through the point with the first derivative .A)
B)
C)
D)
E)
سؤال
The rate of change of N is proportional to N. When 
and when 
. What is the value of N when 
? Round your answer to three decimal places.
A)6,174.815
B)6,224.815
C)382.187
D)6,254.815
E)168,070.000
and when . What is the value of N when ? Round your answer to three decimal places.A)6,174.815
B)6,224.815
C)382.187
D)6,254.815
E)168,070.000
سؤال
Find the function 
passing through the point 
with the first derivative 
.
A)
B)
C)
D)
E)
passing through the point with the first derivative .A)
B)
C)
D)
E)
سؤال
Solve the differential equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours there are 140 bacteria in the culture and after 4 hours there are 370 bacteria in the culture. Answer the following questions, rounding numerical answers to four decimal places.(i) Find the initial population.(ii) Write an exponential growth model for the bacteria population. Let t represent time in hours.(iii) Use the model to determine the number of bacteria after 8 hours.(iv) After how many hours will the bacteria count be 25,000?
A)(i) 52.9730 ; (ii)
; (iii) 2,584.3367 ; (iv) 12.6702 hr
B)(i) 55.1230 ; (ii)
; (iii) 5,271.7880 ; (iv) 17.2327 hr
C)(i) 58.7530 ; (ii)
; (iii) 8,023.2414 ; (iv) 19.3439 hr
D)(i) 60.3130 ; (ii)
; (iii) 10,675.7049 ; (iv) 21.1233 hr
E)(i) 52.9730 ; (ii)
; (iii) 3,897.0708 ; (iv) 15.0047 hr
A)(i) 52.9730 ; (ii)
; (iii) 2,584.3367 ; (iv) 12.6702 hrB)(i) 55.1230 ; (ii)
; (iii) 5,271.7880 ; (iv) 17.2327 hrC)(i) 58.7530 ; (ii)
; (iii) 8,023.2414 ; (iv) 19.3439 hrD)(i) 60.3130 ; (ii)
; (iii) 10,675.7049 ; (iv) 21.1233 hrE)(i) 52.9730 ; (ii)
; (iii) 3,897.0708 ; (iv) 15.0047 hr سؤال
Find the exponential function 
that passes through the two given points. Round your values of C and k to four decimal places. 
A)
B)
C)
D)
E)
that passes through the two given points. Round your values of C and k to four decimal places. A)
B)
C)
D)
E)
سؤال
Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places:The rate of change of y is proportional to y. When x = 0, y = 4 and when x = 1, y = 16. What is the value of y when x = 7?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
A container of hot liquid is placed in a freezer that is kept at a constant temperature of 15 
F. The initial temperature of the liquid is 170 
F. After 4 minutes, the liquid´s temperature is 64 
F. How much longer will it take for its temperature to decrease to 32 
F? Round your answer to two decimal places.
A)2.21 minutes
B)3.68 minutes
C)3.31 minutes
D)4.04 minutes
E)1.47 minutes
F. The initial temperature of the liquid is 170 F. After 4 minutes, the liquid´s temperature is 64 F. How much longer will it take for its temperature to decrease to 32 F? Round your answer to two decimal places.A)2.21 minutes
B)3.68 minutes
C)3.31 minutes
D)4.04 minutes
E)1.47 minutes
سؤال
The isotope 
has a half-life of 24,100 years. Given an initial amount of 9 grams of the isotope, how many grams will remain after 2,000 years? After 20,000 years? Round your answers to four decimal places.
A)5.9478 gm, 3.5442 gm
B)3.3988 gm, 2.0253 gm
C)8.4969 gm, 5.0632 gm
D)10.1963 gm, 6.0758 gm
E)5.0981 gm, 3.0379 gm
has a half-life of 24,100 years. Given an initial amount of 9 grams of the isotope, how many grams will remain after 2,000 years? After 20,000 years? Round your answers to four decimal places.A)5.9478 gm, 3.5442 gm
B)3.3988 gm, 2.0253 gm
C)8.4969 gm, 5.0632 gm
D)10.1963 gm, 6.0758 gm
E)5.0981 gm, 3.0379 gm
سؤال
The isotope 
has a half-life of 5,715 years. After 20,000 years, a sample of the isotope is reduced 0.1 grams. What was the initial size of the sample (in grams)? How large was the sample after the first 2,000 years? Round your answers to four decimal places.
A)0.6786, 0.5324
B)0.5655, 0.4437
C)0.9048, 0.7099
D)1.4703, 1.1536
E)1.1310, 0.8874
has a half-life of 5,715 years. After 20,000 years, a sample of the isotope is reduced 0.1 grams. What was the initial size of the sample (in grams)? How large was the sample after the first 2,000 years? Round your answers to four decimal places.A)0.6786, 0.5324
B)0.5655, 0.4437
C)0.9048, 0.7099
D)1.4703, 1.1536
E)1.1310, 0.8874
سؤال
Suppose that the population (in millions) of a Paraguay in 2007 is 6.7 and that expected continuous annual rate of change of the population is 0.024. The exponential growth model for the population by letting 
corresponds to 2000 is 
. Use the model to predict the population of the country in 2014. Round your answer to two decimal places.
A)7.93 million
B)7.74 million
C)8.12 million
D)6.86 million
E)7.03 million
corresponds to 2000 is . Use the model to predict the population of the country in 2014. Round your answer to two decimal places.A)7.93 million
B)7.74 million
C)8.12 million
D)6.86 million
E)7.03 million
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/54
العب
ملء الشاشة (f)
Deck 9: Exponential and Logarithmic Functions and Calculus
1
The table lists the approximate value V of a mid-sized sedan for the years 2003 through 2009. The variable t represents the time in years, with corresponding to 2003. Use the regression capabilities of a graphing utility to fit an exponential model to the data. Round all numerical values in your answer to four decimal places. Your answer may be slightly different depending on the number of digits your graphing utility uses in computations.
A)
B)
C)
D)
E)
corresponding to 2003. Use the regression capabilities of a graphing utility to fit an exponential model to the data. Round all numerical values in your answer to four decimal places. Your answer may be slightly different depending on the number of digits your graphing utility uses in computations. A)
B)
C)
D)
E)
2
Use implicit differentiation to find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
3
Use implicit differentiation to find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
4
The value V (in dollars) of an item t years after it is purchased is . Find the rate of change of V with respect to t when . Round your answer to two decimal places.
A)-1839.21 dollars/year
B)245.40 dollars/year
C)-1324.10 dollars/year
D)1839.21 dollars/year
E)-245.40 dollars/year
. Find the rate of change of V with respect to t when . Round your answer to two decimal places.A)-1839.21 dollars/year
B)245.40 dollars/year
C)-1324.10 dollars/year
D)1839.21 dollars/year
E)-245.40 dollars/year
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
5
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
6
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
7
Differentiate the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
8
Suppose the table below shows the temperature at which a given liquid boils at selected pressures p (pounds per square inch). A model that approximates the data is . Find the rate of change of T with respect to p when . Round your answer to two decimal places.p51014.696(1 atm)2030406080100T327.43404.29448.84485.71536.18573.59629.02670.61704.38
A)5.34
B)4.25
C)152.22
D)153.31
E)1.09
at which a given liquid boils at selected pressures p (pounds per square inch). A model that approximates the data is . Find the rate of change of T with respect to p when . Round your answer to two decimal places.p51014.696(1 atm)2030406080100T327.43404.29448.84485.71536.18573.59629.02670.61704.38A)5.34
B)4.25
C)152.22
D)153.31
E)1.09
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
9
Find the following limit if it exists: . Use when appropriate.
A)
B)does not exist
C)4
D)
E)1
. Use when appropriate.A)
B)does not exist
C)4
D)
E)1
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
10
Find an equation of the tangent line to the graph of at the point (0,1) .
A)
B)
C)
D)
E)
at the point (0,1) .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
11
Use logarithmic differentiation to find the derivative of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
12
Suppose the term of a mortgage t (in years) can be approximated by where x is the monthly payment in dollars. Use the model to approximate the term of a home mortgage for which the monthly payment is . What is the total amount paid? Round your answer to the nearest cent. Your answer may be slightly different depending on the number of digits your technology uses in computations.
A)$1284.55
B)$308,293.13
C)$15,414.66
D)$51,382.19
E)$616,586.26
where x is the monthly payment in dollars. Use the model to approximate the term of a home mortgage for which the monthly payment is . What is the total amount paid? Round your answer to the nearest cent. Your answer may be slightly different depending on the number of digits your technology uses in computations.A)$1284.55
B)$308,293.13
C)$15,414.66
D)$51,382.19
E)$616,586.26
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
13
Use implicit differentiation to find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
14
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
15
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
16
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
17
Evaluate the definite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
18
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
19
Locate any relative extrema and inflection points of the function . Use a graphing utility to confirm your results.
A)relative maximum value: ; inflection point: (0, 0)
B)relative minimum value: ; inflection point: (0, 0)
C)relative minimum value: ; no inflection points
D)relative minimum value: ; no inflection points
E)relative maximum value: ; no inflection points
. Use a graphing utility to confirm your results.A)relative maximum value:
; inflection point: (0, 0)B)relative minimum value:
; inflection point: (0, 0)C)relative minimum value:
; no inflection pointsD)relative minimum value:
; no inflection pointsE)relative maximum value:
; no inflection points فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
20
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
21
Find the indefinite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
22
Find the area of the region bounded by the graphs of the equations Round your answer to four decimal places.
A)7.2383
B)9.7889
C)10.7889
D)6.5452
E)7.5452
Round your answer to four decimal places.A)7.2383
B)9.7889
C)10.7889
D)6.5452
E)7.5452
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
23
Find .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
24
The rate of change in sales S is inversely proportional to time measured in weeks. Find S as a function of t if sales after 3 and 9 weeks are 250 units and 450 units respectively.
A)
B)
C)
D)
E)
measured in weeks. Find S as a function of t if sales after 3 and 9 weeks are 250 units and 450 units respectively.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
25
Solve the differential equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
26
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
27
Find .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
28
Find the area of the region given below bounded by the graph of .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
29
Suppose a population of bacteria is changing at a rate of where t is the time in days. The initial population (when t = 0) is 1000. Write an equation that gives the population at any time t.
A)
B)
C)
D)
E)
where t is the time in days. The initial population (when t = 0) is 1000. Write an equation that gives the population at any time t.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
30
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
31
Find given .
A)
B)
C)
D)
E)
given .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
32
Solve the differential equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
33
Find the time required for an object to cool from by evaluating , where t is time in minutes. Round your answer to four decimal places.
A)7.1728 minutes
B)4.5256 minutes
C)4.9328 minutes
D)6.5208 minutes
E)4.1141 minutes
by evaluating , where t is time in minutes. Round your answer to four decimal places.A)7.1728 minutes
B)4.5256 minutes
C)4.9328 minutes
D)6.5208 minutes
E)4.1141 minutes
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
34
Find if ..
A)
B)
C)
D)
E)
if ..A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
35
Find the indefinite integral of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
36
Find the indefinite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
37
Find .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
38
Suppose the demand equation for a product is Find the average price p on the interval . Round your answer to the nearest dollar.
A)$67
B)$74
C)$86
D)$106
E)$732
Find the average price p on the interval . Round your answer to the nearest dollar.A)$67
B)$74
C)$86
D)$106
E)$732
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
39
Solve the differential equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
40
Evaluate the definite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
41
Solve the differential equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
42
Suppose that the population (in millions) of Egypt in 2007 was 80.3 and that the expected continuous annual rate of change of the population is 0.017. Find the exponential growth model for the population by letting correspond to 2000. Round your answer to four decimal places.
A)
B)
C)
D)
E)
for the population by letting correspond to 2000. Round your answer to four decimal places.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
43
Write and solve the differential equation that models the following verbal statement:The rate of change of y with respect to r is proportional to .
A) ,
B) ,
C) ,
D) ,
E) ,
.A)
, B)
, C)
, D)
, E)
, فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
44
Find the function passing through the point with the first derivative .
A)
B)
C)
D)
E)
passing through the point with the first derivative .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
45
The rate of change of N is proportional to N. When and when . What is the value of N when ? Round your answer to three decimal places.
A)6,174.815
B)6,224.815
C)382.187
D)6,254.815
E)168,070.000
and when . What is the value of N when ? Round your answer to three decimal places.A)6,174.815
B)6,224.815
C)382.187
D)6,254.815
E)168,070.000
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
46
Find the function passing through the point with the first derivative .
A)
B)
C)
D)
E)
passing through the point with the first derivative .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
47
Solve the differential equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
48
The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours there are 140 bacteria in the culture and after 4 hours there are 370 bacteria in the culture. Answer the following questions, rounding numerical answers to four decimal places.(i) Find the initial population.(ii) Write an exponential growth model for the bacteria population. Let t represent time in hours.(iii) Use the model to determine the number of bacteria after 8 hours.(iv) After how many hours will the bacteria count be 25,000?
A)(i) 52.9730 ; (ii) ; (iii) 2,584.3367 ; (iv) 12.6702 hr
B)(i) 55.1230 ; (ii) ; (iii) 5,271.7880 ; (iv) 17.2327 hr
C)(i) 58.7530 ; (ii) ; (iii) 8,023.2414 ; (iv) 19.3439 hr
D)(i) 60.3130 ; (ii) ; (iii) 10,675.7049 ; (iv) 21.1233 hr
E)(i) 52.9730 ; (ii) ; (iii) 3,897.0708 ; (iv) 15.0047 hr
A)(i) 52.9730 ; (ii)
; (iii) 2,584.3367 ; (iv) 12.6702 hrB)(i) 55.1230 ; (ii)
; (iii) 5,271.7880 ; (iv) 17.2327 hrC)(i) 58.7530 ; (ii)
; (iii) 8,023.2414 ; (iv) 19.3439 hrD)(i) 60.3130 ; (ii)
; (iii) 10,675.7049 ; (iv) 21.1233 hrE)(i) 52.9730 ; (ii)
; (iii) 3,897.0708 ; (iv) 15.0047 hr فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
49
Find the exponential function that passes through the two given points. Round your values of C and k to four decimal places.
A)
B)
C)
D)
E)
that passes through the two given points. Round your values of C and k to four decimal places. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
50
Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places:The rate of change of y is proportional to y. When x = 0, y = 4 and when x = 1, y = 16. What is the value of y when x = 7?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
51
A container of hot liquid is placed in a freezer that is kept at a constant temperature of 15 F. The initial temperature of the liquid is 170 F. After 4 minutes, the liquid´s temperature is 64 F. How much longer will it take for its temperature to decrease to 32 F? Round your answer to two decimal places.
A)2.21 minutes
B)3.68 minutes
C)3.31 minutes
D)4.04 minutes
E)1.47 minutes
F. The initial temperature of the liquid is 170 F. After 4 minutes, the liquid´s temperature is 64 F. How much longer will it take for its temperature to decrease to 32 F? Round your answer to two decimal places.A)2.21 minutes
B)3.68 minutes
C)3.31 minutes
D)4.04 minutes
E)1.47 minutes
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
52
The isotope has a half-life of 24,100 years. Given an initial amount of 9 grams of the isotope, how many grams will remain after 2,000 years? After 20,000 years? Round your answers to four decimal places.
A)5.9478 gm, 3.5442 gm
B)3.3988 gm, 2.0253 gm
C)8.4969 gm, 5.0632 gm
D)10.1963 gm, 6.0758 gm
E)5.0981 gm, 3.0379 gm
has a half-life of 24,100 years. Given an initial amount of 9 grams of the isotope, how many grams will remain after 2,000 years? After 20,000 years? Round your answers to four decimal places.A)5.9478 gm, 3.5442 gm
B)3.3988 gm, 2.0253 gm
C)8.4969 gm, 5.0632 gm
D)10.1963 gm, 6.0758 gm
E)5.0981 gm, 3.0379 gm
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
53
The isotope has a half-life of 5,715 years. After 20,000 years, a sample of the isotope is reduced 0.1 grams. What was the initial size of the sample (in grams)? How large was the sample after the first 2,000 years? Round your answers to four decimal places.
A)0.6786, 0.5324
B)0.5655, 0.4437
C)0.9048, 0.7099
D)1.4703, 1.1536
E)1.1310, 0.8874
has a half-life of 5,715 years. After 20,000 years, a sample of the isotope is reduced 0.1 grams. What was the initial size of the sample (in grams)? How large was the sample after the first 2,000 years? Round your answers to four decimal places.A)0.6786, 0.5324
B)0.5655, 0.4437
C)0.9048, 0.7099
D)1.4703, 1.1536
E)1.1310, 0.8874
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
54
Suppose that the population (in millions) of a Paraguay in 2007 is 6.7 and that expected continuous annual rate of change of the population is 0.024. The exponential growth model for the population by letting corresponds to 2000 is . Use the model to predict the population of the country in 2014. Round your answer to two decimal places.
A)7.93 million
B)7.74 million
C)8.12 million
D)6.86 million
E)7.03 million
corresponds to 2000 is . Use the model to predict the population of the country in 2014. Round your answer to two decimal places.A)7.93 million
B)7.74 million
C)8.12 million
D)6.86 million
E)7.03 million
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 54 في هذه المجموعة.
