Homework Help: calculus

Posted by Anonymous on Friday, January 4, 2013 at 2:08pm.

at a certain instant the base of a triangle is 5 inches and is increasing at the rate of 1 inch per minute. At the same instant, the height is 10 inches and is decreasing at the rate of 2.5 inches per minute. Is the area of the triangle increasing or decreasing? justify you answer.

calculus - Steve, Friday, January 4, 2013 at 2:38pm
a = bh/2
da/dt = h/2 db/dt + b/2 dh/dt
= 10/2 (1) + 5/2 (-2.5)
= -1.25 in^2/min

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