Sketch the region r and calculate its area

Reference no: EM131003928

Let R be the region in the first quadrant bounded by the curves y = 9x and y = x³.

a. Sketch the region R and calculate its area.

b. Calculate the volume of the solid of revolution obtained by rotating the region R around the vertical line x = 5 , and draw a typical layer which appears in the calculation of volume (disc, washer or cylindrical shell), labeling its dimensions.

Reference no: EM131003928

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