Using the Method of Disk or Washer, find a definite integral for each case of (a)...

 

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Using the Method of Disk or Washer, find a definite integral for each case of (a) and (b) that gives the volume V of the solid obtained by rotating the region R bounded by curves: y = Va and y = (1) about the y-axis; and (2) about the vertical line y= -1. Your work should include the following. Find algebraically the intersections of y = Va and y : For each case of (1) and (2), please (1) Sketch the region R. (ii) Determine whether to pick a vertical x-a or horizontal line y=b in the region R and why. (iii) Rotate the line in (ii) about the given line. Sketch and shade the cross-section (a disk or a washer). (iv) Set up (without evaluating) a definite integral that gives the volume V of the solid. Using the Method of Disk or Washer, find a definite integral for each case of (a) and (b) that gives the volume V of the solid obtained by rotating the region R bounded by curves: y = Va and y = (1) about the y-axis; and (2) about the vertical line y= -1. Your work should include the following. Find algebraically the intersections of y = Va and y : For each case of (1) and (2), please (1) Sketch the region R. (ii) Determine whether to pick a vertical x-a or horizontal line y=b in the region R and why. (iii) Rotate the line in (ii) about the given line. Sketch and shade the cross-section (a disk or a washer). (iv) Set up (without evaluating) a definite integral that gives the volume V of the solid.

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solution Geven negian is soun gled by y Va and yn 1 Rotat... View the full answer