Day 38/6.3 Math 1431 If you email me, please put your class in the subject line. Have you registered for Test 4? Don’t forget the online quizzes. THINK:The following number has a rather special characteristic. What makes it unique? 8,549,176,320

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Section 6.3 Volume by Shell Method

Popper 1. The region Rin the first quadrant is enclosed by the lines x = 0 and y = 5 and the curve y = x2+ 1. The volume of the solid generated when Ris revolved about the y-axis is

π54415

2. Let Rbe the region in the first quadrant bounded by the x-axis and the curve y = 2x – x2. The volume produced when Rrevolved about the x-axis is is

E) π8

3. Given the region in the first quadrant bounded by the function y = 4 – x2, set up the integral equation that finds the volume of the region when rotated about y = 0, using the disc/washer method. a. (29=-∫220V4xdxb. (29= π-∫220V4xdxc. (29= π--∫220V4xdxd. (29= π-∫20V4xdx2222