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The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm/s) when the diameter is

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The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm/s) when the diameter is 100 mm? (Round your answer to two decimal places.) mm /s\fThe radius of a circular disk is given as 18 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm ) in the calculated area of the disk. (Round your answer to two decimal places.) X cm2 (b) What is the relative error? (Round your answer to four decimal places.) X What is the percentage error? (Round your answer to two decimal places.) X %

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