# Section 3.7 Differentials

Education

16

All Questions

16

Multiple Choice

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True False

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Essay

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Short Answer

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Not Answered

Q 1

Find the equation of the tangent line T to the graph of at the given point .
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 2

Find the equation of the tangent line T to the graph of at the given point .
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 3

Compare and for at with Give your answers to four decimal places.
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 4

Compare and for at with Give your answers to four decimal places.
A)
B)
C)
D)
E)

Multiple Choice

Q 5

Find the differential of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Find the differential of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Find the differential of the function .
A)
B)
C)
D)
E)

Multiple Choice

Q 8

The measurement of the side of a square floor tile is 22 inches,with a possible error of inch.Use differentials to approximate the possible propagated error in computing the area of the square.
A) square inches
B) square inches
C) square inches
D) square inches
E) square inches

Multiple Choice

Q 9

The measurements of the base and altitude of a triangle are found to be 42 and 21 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)±8.6625 square centimeters
B)±7.0875 square centimeters
C)±7.875 square centimeters
D)±9.0563 square centimeters
E)±9.45 square centimeters

Multiple Choice

Q 10

The measurement of the radius of the end of a log is found to be 10 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)±12π square inches
B)±16π square inches
C)±5π square inches
D)±20π square inches
E)±8π square inches

Multiple Choice

Q 11

The radius of a spherical balloon is measured to be 9 inches,with a possible error of 0.02 inch.Use differentials to approximate the maximum possible error in calculating the volume of the sphere.Round your answer to two decimal places.
A)±10.18 cubic inches
B)±5.65 cubic inches
C)±30.54 cubic inches
D)±20.36 cubic inches
E)±4.52 cubic inches

Multiple Choice

Q 12

The radius of a spherical balloon is measured to be 7 inches,with a possible error of 0.03 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)±6.6 square inches
B)±9.24 square inches
C)±27.71 square inches
D)±18.47 square inches
E)±5.28 square inches

Multiple Choice

Q 13

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 x = 22 to x = 27 miles per hour.Round your answer to one decimal place.
A)51.8%
B)22.1%
C)42.7%
D)78.0%
E)122.7%

Multiple Choice

Q 14

The range R of a projectile is where ν

_{0}is the initial velocity in feet per second and θ is the angle of elevation.If ν_{0}= 2300 feet per second and θ is changed from 13° to 14° use differentials to approximate the change in the range.Round your answer to the nearest integer. A)2593 ft B)4568 ft C)5623 ft D)2811 ft E)5186 ft Multiple Choice

Q 15

Use differentials to approximate the value of .Round your answer to four decimal places.
A)1.8650
B)1.8750
C)1.9050
D)1.8850
E)1.8950

Multiple Choice

Q 16

Use differentials to approximate the value of .Round your answer to four decimal places.
A)3.0470
B)3.0270
C)3.0170
D)3.0370
E)3.0570

Multiple Choice