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Question: this is the region bounded by y x24 and y...

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This is the region bounded by y x2+4 and y 22-x. A representative rectangle is drawn with base dx. Find the coordinates of and label all intersection points Find the height of the rectangle if the left endpoint of the rectangle is at each of the following values of x and if d-0.2. Also, find the area of the rectangle. 1. x =-1 a. x-2 d. x=-2.5 Find a formula h(x) for the height of the rectangle for the left endpoint of the rectangle being at any value ofx between the intersection points Find a formula for the area A(x) of the rectangle where the left endpoint is any value of x between the intersection points and the base of the rectangle is any value of d less than 1. 2. Find the distance from the top of the rectangle to the line y bottom of the rectangle to the line y 30 if the left endpoint of the rectangle is at each of the following values of x and if d 0.3 30 AND the distance from, the 3. c. x-1 b, x=1.5 Find a formula r(r) for the distance from the top of the rectangle to the line y-30 AND a formula R(x)for the distance from the bottom of the rectangle to the line y -30 if the left endpoint of the rectangle is at any value of x between the intersection points 4,
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