Suppose that the edge lengths x, y, and z of a closed rectangular box are changing at the following rates:

Find the rates at which the box’s 

(a) Volume, 

(b) Surface area

(c) Diagonal length s = √x² + y² + z² are changing at the instant when x = 4, y = 3, and z = 2.

Transcribed Image Text:

dx dt 1 m/sec, dy dt -2 m/sec, dz dt = 1 m/sec.