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The length ℓ, width w, and height h of a rectangualr box (with a lid) change...

The length ℓ, width w, and height h of a rectangualr box (with a lid) change with time. At a certain instant the dimensions are ℓ = 7 m, w = 7 and h = 2 m, and ℓ and w are increasing at a rate of 8 m/s while h is decreasing at a rate of 8 m/s. Find the following

Rate of change of h, with respect to time.

Rate of change of surface area, with respect to time

Rate of change of surface area, with respect to width

Rate of change of surface area

Math   Calculus   
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