a trough is 5 ft long and its vertical cross sections are inverted isosceles triangles w/ base 2 ft and height 3 ft. wather i being siphoned out of the trough at the rate of 2 cubic feet/min. At any time t, let h be the depth and V be the volume of the water in the trough
-what is the rate of change in h at the instant when the trough is 1/4 full by volume?
-what is the rate of change in the area of the surface of the water at the instant when the trough is 1/4 full by volume
so i know i have to find dV/dt in terms of h, and then plug in a value for h once i've done that. the problem is when i find the derivative i don't get a variable h, i get 5(dh/dt). also, i don't know what to plug in for h, whether it's 15/4 since the volume is 15 cubic feet and 1/4 of it would be 15/4. or do i plug in 3/4 since the height is 3 ft.
any help would be appreciated
thanks!
2006-10-15
14:16:07
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