question archive A region R in the first quadrant is bounded by y = 8 - x ,y = 2x, and y-axis

A region R in the first quadrant is bounded by y = 8 - x ,y = 2x, and y-axis

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A region R in the first quadrant is bounded by y = 8 - x ,y = 2x, and y-axis. a. Sketch the region R, without use your calculator. You must use algebra to find and label the points of intersection. b. Write an integral expression for the volume when R is revolved around the x-axis. (Do Not evaluate the integral! Just set it up.). Use both washer and shell method. c. Write an integral expression for the volume when R is revolved around the y-axis. (Do Not evaluate the integral! Just set it up.) Use both washer and shell method.

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