1. Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 58 m. (Round your answer to two decimal places.)

2. The radius of a circular disk is given as 29 cm with a maximum error in measurement of 0.2 cm.

(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm² (b) What is the relative error? (Round your answer to four decimal places.) (c) What is the percentage error? (Round your answer to two decimal places.) %

3

.

Suppose y = \\ 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy = dt (b) If dy/dt = 3, find dx/dt when x = 12. dx dt Need Help? Read It Submit