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Given a trough with length y, and an end which is an isosceles right triangle with...

Given a trough with length y, and an end which is an isosceles right triangle with side x, find the rate of change of the volume at the instant when the length is 10 in, the side of the triangle is 8 in, if the length is increasing at a rate of 6 in/min and the side of the triangle is decreasing at a rate of 2 in/min. Is the volume increasing or decreasing at this time?

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Answer #1

here first we have to find volume of trough and proceed as given below

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