(Solved): A trough is 12 fect long and 3 feet across the top (sce figure). Tes ends are isosceles triangles w ...

A trough is 12 fect long and 3 feet across the top (sce figure). Tes ends are isosceles triangles with atitudes of 3 feet. (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast (in fe/min) is the water level nising when \( h \) is \( 1.7 \) feet deep? \( \mathrm{r} / \mathrm{min} \) (b) If the water is riting at a rate of \( 3 / 8 \) inch per minute whien \( h=2.1 \), determine the rate \( \left(i_{n} f^{3} / m i n\right) \) at which water is being pumped into the trough. \( \mathrm{t}^{3} / \mathrm{min} \)