Question: Consider the region bounded by x=2y2 and y=2-x2.a. Plot the curves and shade the region bounded by them. Clearly label the axes and each curve

Consider the region bounded by x=2y2 and y=2-x2.a. Plot the curves and shade the region bounded by them. Clearly label the axes and each curve with its corresponding equation.b. Algebraically find the points of intersection.The area of this region can be calculated two different ways:c. Vertical slicing: Set up an integral expression for the area of the region as the sum of two integrals with respect to x. Don't need to calculate it.d. Horizontal slicing: Set up an integral expression for the area of the region as a single integral with respect to y. Don't need to calculate it.

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