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maladroit
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Homework Statement
A trough is 9 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 14 ft3/min, how fast is the water level rising when the water is 7 inches deep?
I know b, h, l, dv/dt, dl/dt.
I need to first find db/dt then solve for dh/dt
Homework Equations
Volume of Iso. triangular prism= 1/2bh*l
dv/dt=1/2bh(dl/dt)+l(1/2b(dh/dt)+1/2h(db/dt)
I assume that dl/dt=0, so the new equation for the derivative is equal to.. dv/dt=l(1/2b(dh/dt)+1/2h(db/dt)
The Attempt at a Solution
If anyone could just give me some direction where to start in solving for db/dt that would be great!