Question

Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+ 12, x c. y x+2,yx+10,x2 0 about the y-axis. 4. Find the volume of the solid, obtained by rotating the region bounded by the given curves about the y-axis: y = x: + l, y-x2 + 9, x-o, for x 2 0. Indicate the method you are using, write your answer in term of . 5. Write (only) the integral, Find the volume of the solid obtained by revolving f(x)- xIno) about the x-axis in the interval 2sxsS 6. Find the volume of the solid obtained by rotating the region bounded by the x-axis, and the graph of y-1-r'about the line y-3. Write your answer in term of n. 7. Sketch the region enclosed by the curves and find its area. f(x)se, g(x)-r", x:0, and x-h2 8. Find the volume of the solid obtained by rotating the region bounded by the graph of y 2-x2 and y--4, about the x-axis. Express your result in term ofл. 9. Find the volume of the solid obtained by rotating the region bounded by the graph of y-x2 + 2, y-:-x2+10, x 20 about the y-axis. Express your result in term of Λ. 10.Find the volume of the solid of revolution obtained by rotating the region bounded by the gr aphs of y x3 +x + 1 and y - 1 and x 1 about the line x 2. (Use the cylindrical shell method). Express your result in term of л. radius- height-

all answer

Answer 1

Solotcon cte 0 (513 )