Find the linearization L(x) of f at a. {image}

1
Find the linearization L(x) of f at a. image

1. image
2. image
3. image
4. image

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2
Determine the values of x for which the linear
approximation image is accurate to within 0.16.

1. 0.19 lt x lt 2.45
2. -0.31 lt x lt 1.95
3. -0.81 lt x lt 1.45
4. -1.81 lt x lt 0.45

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3
Find the differential of the function. image

1. image
2. image
3. image
4. image

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4
The circumference of a sphere was measured to be
76 cm with a possible error of 0.5 cm. Use
differentials to estimate the maximum error in
the calculated volume.

1. image
2. image
3. image
4. image

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5
Use differentials to estimate the amount of paint
needed to apply a coat of paint 0.13 cm thick to
a hemispherical dome with diameter 60 m.

1. image
2. image
3. image
4. image
5. image
6. image

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