Sketch the region enclosed by x + y2 =6 and x = y. Decide whether to integrate w

Question

Sketch the region enclosed by x + y2 =6 and x = y. Decide whether to integrate with respect to x or y. Then find the area of the region. Sketch the region in the first quadrant enclosed by y = 4/x, y = 5x, and y = 1/5x. Decide whether to integrate with respect to x or y. Then find the area of the region. Find the area of the region enclosed between y = 2sin(x) and y = 2cos(x) from x = 0 to x = 0.8 pi. Find c > O such that the area of the region enclosed by the parabolas y = x2 -c2 and y = C2 -X2 is 480. Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (2,20) and the x axis.

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