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find the volume of the solid of revolution generated by rotating the given area about the given axis x y22, y + 4;...
Find the volume of the solid of revolution generated by revolving about the x-axis the region under the curve y= sqrt(9−x2) from x=−3 to x=3.
Find the surface area generated by rotating the given curve about the y-axis. x = 312, y = 2, osts 4
(10 points) 4. Find the volume of the solid obtained by rotating about the x-axis the region between the graph of y = e*, the x-axis, and the lines x 1 x 2 in the first quadrant about the x-axis. Draw a sketch of this solid. 5 3- 2- 1- -4 -1 5 3 0 1 2 5 (10 points) 4. Find the volume of the solid obtained by rotating about the x-axis the region between the graph of y...
all answer 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+...
Find the surface area of the solid of revolution obtained by rotating the curve x=(1/12)(y^2+8)^(3/2) from ?=2 to ?=5 about the x-axis: (1 point) Find the surface area of the solid of revolution obtained by rotating the curve X= +8)3/2 from y = 2 to y = 5 about the x-axis:
4 points Find the volume of the solid of revolution form by rotating the area under the curvey = = around the x-axis from x = 1 to . (Give 32 your answer to the nearest thousandths and don't include units.)
Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2, Osts5 €101-61 -541 X
Find the volume of the solid of revolution generated by revolving y-164-x" from x =-8 tox-8 about the x-axis. The volume is □ cubic units. (Type an exact answer, using π as needed.) Find the volume of the solid of revolution generated by revolving y-164-x" from x =-8 tox-8 about the x-axis. The volume is □ cubic units. (Type an exact answer, using π as needed.)
1) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x=0, y=1, x=y^7, about the line y=1. 2) Find the surface area of revolution about the x-axis of y=7x+4 over the interval 1≤x≤4. 3)The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.
(b) the volume of the solid generated by revolving the region about the x-axis. (c) the volume of the solid generated by revolving the region about the line x-3 The shaded region below is bounded by the curves y e 2x,y e* and the line x 1. A- 3 y ex 2 yežx Find the area of the shaded region. ) Using washer method, find the volume of the solid generated by revolving the region about the line y -2.