Find the differential of each function. (a) y = tanh/Ef) dy= " 1 _ 2 (b) y=4 V2 4+v dy= (a) Find the differential dy. y = ex/4 dy= 2 (b) Evaluate dy for the given values ofx and o'x. X=0, dx=0.1 3 The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) l:l 2 cm What is the relative error? (Round your answer to three decimal places.) l:l (b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.) l:l 3 cm What is the relative error? (Round your answer to three decimal places.) l:l Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 52 m. (Round your answer to two decimal places.) l:lm3