problem 1: Consider the area between the graphs x 1y=16 and x 4=y2. This area ca

Question

problem 1: Consider the area between the graphs x 1y=16 and x 4=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals ?f(x)dx,x, a,b ?g(x)dx,x,b,c where a= b= c= f(x)= g(x)= Alternatively this area can be computed as a single integral ?h(y)dy,x,?,? where ?= ?= h(y) = Either way we find that the area is= ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// problem 4: The widths in meters of a kidney-shaped swimming pool were measured at 2 meter intervals as indicated in the figure above. The results are shown in the table below. w0 0 w1 6 w2 7.5 w3 6.7 w4 5.7 w5 5.2 w6 4.6 w7 4.1 w8 0 Use Simpson's rule to estimate the area of the pool. The area is-------- square meters.

Explanation / Answer

follow this first ou need the crosspoints: x=8-y and x=y

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