Deck 2: Extension H: Limits and Derivatives

Question 1

Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0.

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B)
C)
D)
E)

Answer 1

Question 2

Find the differential of the function.

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B)
C)
D)
E)

Answer 2

Question 3

Use the linear approximation of the function at to approximate the number

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B)
C)
D)
E)

Answer 3

Question 4

The circumference of a sphere was measured to be 88 cm with a possible error of 0.7 cm.Use differentials to estimate the maximum error in the calculated volume.

Question 5

Use differentials to estimate the amount of paint needed to apply a coat of paint cm thick to a hemispherical dome with diameter m.

A)
B)
C)
D)
E)