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Your lew ews he Find the volume generated by rotating about the x-axis the region bounded...
Find the volume of the solid generated by rotating the region bounded by y = x2 and y = x about the line x = -1, using the washer method. it 1 y = x y=x² 1 Enter the exact value (for , type pi) or round to 3 decimals.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = 3ex, y = 3e-x, x = 1; about the y-axis V = _______
1. Find the volume of the solid generated by rotating the region bounded by yı = 2.c and y2 = Vt around the x-axis. 2. Find the volume of the solid generated by rotating the region bounded by y = r? and y2 = x around the y-axis.
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 5x +6 and the parabola y = x about the following lines. a. The line x6 b. The line x= -1 c. The x-axis d. The line y36 (a) The volume of the given solid is (Type an exact answer in terms of .) (b) The volume of the given solid is (Type an exact answer in terms of...
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+...
Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X -1 20 x0, y y sin cubic units The volume of the solid is (Type an exact answer.)
Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X -1 20 x0, y y sin cubic units The volume of the...
Find the volume of the solid obtained by rotating, about the x-axis, the region bounded by: y = 4x and x = 2y.
4.) Use the Shell method to find the volume generated by rotating the region bounded by the given curves about the y-axis Sketch the curve and draw a representative rectangle yx2+7x-6, y 0
4.) Use the Shell method to find the volume generated by rotating the region bounded by the given curves about the y-axis Sketch the curve and draw a representative rectangle yx2+7x-6, y 0
7. Match the volume of the solid obtained by rotating the region bounded by the given curves about about the given axis to the corresponding integra 1, the region bounded by y-V , х--8 and the x-axis about the x-axis. 2. the region bounded by 8 and the r-axis about the y-axis. 3, the region bounded by y-V , y-2 and the y-axis about the x-axis. 4. the region bounded by V2 and the y-axis about the y-axis. 5, the...
The region Bounded by the
curves y=x2 is revolved about the x-axis. Give an
integral for the volume of the solid that is generated.
The region bounded by the curves y = 3x and y = x' is revolved about the x-axis. Give an integral for the volume of the solid that is generated. va | ndx (Type an exact answer using a as needed.)