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1. 2. 3. 4. Find the linearization L(x) of f at a. {image}. {image} {image} {image} {image}. Determine the values of x for which the linear approximation {image} is accurate to within 0.16. 0.19 < x < 2.45 -0.31 < x < 1.95 -0.81 < x < 1.45 -1.81 < x < 0.45. 1. 2. 3. 4.
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1. 2. 3. 4. Find the linearization L(x) of f at a. {image} • {image} • {image} • {image} • {image}
Determine the values of x for which the linear approximation {image} is accurate to within 0.16. • 0.19 < x < 2.45 • -0.31 < x < 1.95 • -0.81 < x < 1.45 • -1.81 < x < 0.45
1. 2. 3. 4. Find the differential of the function. {image} • {image} • {image} • {image} • {image}
1. 2. 3. 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. • {image} • {image} • {image} • {image}
1. 2. 3. 4. 5. 6. 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. • {image} • {image} • {image} • {image} • {image} • {image}