problem 1: Sketch the region enclosed by the given curves. Decide whether to int

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problem 1: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region. y=5x,y=5x2 problem 2: Find the area of the region enclosed between y=4sin(x) and y=4cos(x) from x=0 to x=0.6?. Hint: Notice that this region consists of two parts. problem 3: 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.

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not understable

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