تكلم مع الذكاء الاصطناعي
Deck 4: Section 8: Applications of Differentiation
ملء الشاشة (f)
سؤال
The measurements of the base and altitude of a triangle are found to be 54 and 33 centimeters. The possible error in each measurement is 0.25 centimeter. Use differentials to estimate the propagated error in computing the area of the triangle. Round your answer to four decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Compare dy and 
for 
at x = 0 with 
Give your answers to four decimal places.
A)
B)
C)
D)
E)
for at x = 0 with Give your answers to four decimal places.A)
B)
C)
D)
E)
سؤال
The radius of a spherical balloon is measured to be 12 inches, with a possible error of 0.06 inch. Use differentials to approximate the maximum possible error in calculating the surface area of the sphere. Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the differential dy of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the equation of the tangent line T to the graph of 
at the given point 
A)
B)
C)
D)
E)
at the given point A)
B)
C)
D)
E)
سؤال
Find the equation of the tangent line T to the graph of 
at the given point 
A)
B)
C)
D)
E)
at the given point A)
B)
C)
D)
E)
سؤال
The range R of a projectile is 
where 
is the initial velocity in feet per second and 
is the angle of elevation. If 
feet per second and 
is changed from 
to 
use differentials to approximate the change in the range. Round your answer to the nearest integer.
A) 2,593 ft
B) 4,568 ft
C) 5,623 ft
D) 2,811 ft
E) 5,186 ft
where is the initial velocity in feet per second and is the angle of elevation. If feet per second and is changed from to use differentials to approximate the change in the range. Round your answer to the nearest integer.A) 2,593 ft
B) 4,568 ft
C) 5,623 ft
D) 2,811 ft
E) 5,186 ft
سؤال
Find the differential dy of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the differential dy of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The measurement of the radius of the end of a log is found to be 28 inches, with a possible error of 
inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.
A)
B)
C)
D)
E)
inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.A)
B)
C)
D)
E)
سؤال
Use differentials to approximate the value of 
. Round your answer to four decimal places.
A) 5.0000
B) 5.0100
C) 5.0400
D) 5.0200
E) 5.0300
. Round your answer to four decimal places.A) 5.0000
B) 5.0100
C) 5.0400
D) 5.0200
E) 5.0300
سؤال
The total stopping distance T of a vehicle is 
where T is in feet and x is the speed in miles per hour. Use differentials to approximate the percent change in total stopping distance as speed changes from 
to 
miles per hour. Round your answer to one decimal place.
A) 37.4%
B) 16.5%
C) 32.2%
D) 168.0%
E) 116.7%
where T is in feet and x is the speed in miles per hour. Use differentials to approximate the percent change in total stopping distance as speed changes from to miles per hour. Round your answer to one decimal place.A) 37.4%
B) 16.5%
C) 32.2%
D) 168.0%
E) 116.7%
سؤال
The radius of a spherical balloon is measured to be 8 inches, with a possible error of 0.03 inch. Use differentials to approximate the maximum possible error in calculating the volume of the sphere. Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use differentials to approximate the value of 
. Round your answer to four decimal places.
A) 1.9683
B) 1.9483
C) 1.9383
D) 1.9583
E) 1.9783
. Round your answer to four decimal places.A) 1.9683
B) 1.9483
C) 1.9383
D) 1.9583
E) 1.9783
سؤال
The measurement of the side of a square floor tile is 14 inches, with a possible error of 
inch. Use differentials to approximate the possible propagated error in computing the area of the square.
A)
B)
C)
D)
E)
inch. Use differentials to approximate the possible propagated error in computing the area of the square.A)
B)
C)
D)
E)
سؤال
Compare dy and 
for 
at x = -1 with 
Give your answers to four decimal places.
A)
B)
C)
D)
E)
for at x = -1 with Give your answers to four decimal places.A)
B)
C)
D)
E)
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ملء الشاشة (f)
Deck 4: Section 8: Applications of Differentiation
1
The measurements of the base and altitude of a triangle are found to be 54 and 33 centimeters. The possible error in each measurement is 0.25 centimeter. Use differentials to estimate the propagated error in computing the area of the triangle. Round your answer to four decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Compare dy and for at x = 0 with Give your answers to four decimal places.
A)
B)
C)
D)
E)
for at x = 0 with Give your answers to four decimal places.A)
B)
C)
D)
E)
3
The radius of a spherical balloon is measured to be 12 inches, with a possible error of 0.06 inch. Use differentials to approximate the maximum possible error in calculating the surface area of the sphere. Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the differential dy of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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5
Find the equation of the tangent line T to the graph of at the given point
A)
B)
C)
D)
E)
at the given point A)
B)
C)
D)
E)
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6
Find the equation of the tangent line T to the graph of at the given point
A)
B)
C)
D)
E)
at the given point A)
B)
C)
D)
E)
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7
The range R of a projectile is where is the initial velocity in feet per second and is the angle of elevation. If feet per second and is changed from to use differentials to approximate the change in the range. Round your answer to the nearest integer.
A) 2,593 ft
B) 4,568 ft
C) 5,623 ft
D) 2,811 ft
E) 5,186 ft
where is the initial velocity in feet per second and is the angle of elevation. If feet per second and is changed from to use differentials to approximate the change in the range. Round your answer to the nearest integer.A) 2,593 ft
B) 4,568 ft
C) 5,623 ft
D) 2,811 ft
E) 5,186 ft
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
8
Find the differential dy of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
9
Find the differential dy of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
10
The measurement of the radius of the end of a log is found to be 28 inches, with a possible error of inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.
A)
B)
C)
D)
E)
inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
11
Use differentials to approximate the value of . Round your answer to four decimal places.
A) 5.0000
B) 5.0100
C) 5.0400
D) 5.0200
E) 5.0300
. Round your answer to four decimal places.A) 5.0000
B) 5.0100
C) 5.0400
D) 5.0200
E) 5.0300
فتح الحزمة
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فتح الحزمة
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12
The total stopping distance T of a vehicle is where T is in feet and x is the speed in miles per hour. Use differentials to approximate the percent change in total stopping distance as speed changes from to miles per hour. Round your answer to one decimal place.
A) 37.4%
B) 16.5%
C) 32.2%
D) 168.0%
E) 116.7%
where T is in feet and x is the speed in miles per hour. Use differentials to approximate the percent change in total stopping distance as speed changes from to miles per hour. Round your answer to one decimal place.A) 37.4%
B) 16.5%
C) 32.2%
D) 168.0%
E) 116.7%
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
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13
The radius of a spherical balloon is measured to be 8 inches, with a possible error of 0.03 inch. Use differentials to approximate the maximum possible error in calculating the volume of the sphere. Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
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14
Use differentials to approximate the value of . Round your answer to four decimal places.
A) 1.9683
B) 1.9483
C) 1.9383
D) 1.9583
E) 1.9783
. Round your answer to four decimal places.A) 1.9683
B) 1.9483
C) 1.9383
D) 1.9583
E) 1.9783
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
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15
The measurement of the side of a square floor tile is 14 inches, with a possible error of inch. Use differentials to approximate the possible propagated error in computing the area of the square.
A)
B)
C)
D)
E)
inch. Use differentials to approximate the possible propagated error in computing the area of the square.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
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16
Compare dy and for at x = -1 with Give your answers to four decimal places.
A)
B)
C)
D)
E)
for at x = -1 with Give your answers to four decimal places.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
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