. A pool, when viewed from above, is in the shape of an ellipse whose equation is given by (x ^ 2)/144 + (y ^ 2)/49 = 1 A) solve the given equation for y
. A pool, when viewed from above, is in the shape of an ellipse whose equation is given by (x ^ 2)/144 + (y ^ 2)/49 = 1
A) solve the given equation for y
B) Use
C) Suppose the pool is 10 feet deep and has the shape of an ellipse throughout (an elliptical cylinder). Further, suppose the pool currently has 9 feet of water. Find the work done to pump all of the water out of the pool To do this, first set this up as a Riemann sum, finding the work W_{i} required to pump the slice of water, of width Delta*x out of the pool. Then, set up the corresponding integral and integrate to find the work done to pump all of the water out of the pool. Use the fact that water weights 62.5 lbs / f * t ^ 3
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