3. (a) Find the exact volume of the solid obtained by rotating the region between the...
3. (a) Find the exact volume of the solid obtained by rotating the region between the curves y = = and y = (1 - 26) on the interval [0, 1] about the y-axis. (b) Find the center of mass of the region under the graph of f(x) = 1+z2+z* on the interval (-1,1].
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.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4, sqrt49 − x2 , y = 0, x = 5, x = 6; about the x-axis.
Find the volume of the solid obtained by rotating the region underneath the graph of f(x) = - about the y-axis over the interval [1, 3].
1. Find the volume of the solid obtained by rotating the region bounded by the following curves about the horizontal line y=-3: y=6-x2,y-2, x = 1. 1. Find the volume of the solid obtained by rotating the region bounded by the following curves about the horizontal line y=-3: y=6-x2,y-2, x = 1.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5(sqt 25 − x2) , y = 0, x = 0, x = 3; about the x-axis
please answer 1&2 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x", y = 5x, x2 0; about the x-axis V = Sketch the region. y у 5- 6 4 3 3 N -0. 0.5 1.0 X 1.5 -0.5 0.5 1.0 1.5 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 =...
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 volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 47 64 – x2, y = 0, x = 1, X = 7; about the x-axis V= T 9.59 + 32 sin -1/ 7 8 |() - :) sin (5))]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0,y=cos(8x),x=π/16,x=0 about the axis y=−6