Consider the functions y = 6 - x?, y = 2. a. Graph the region bounded...
1.The region R is the region bounded by the functions y=x-3 and x=1+y^2. find the volume of the solid obtained by rotating the region R about the y axis. Please include a graph. 2.Find the volume of the solid obtained by rotating the region bounded by the graphs of y=x and y=sqrt(x) about the line x=2. Please include a graph
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______
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+...
486 (1 point) Sketch the first quadrant region bounded below by the graph of g(x) = - apri or 9(2) = about the y-axis generates a solid whose volume is 2, above by f(x) = 12 – 100 . 6, and at the right by x = 1. Rotating that region (1 point) Find the volume of the solid obtained by rotating the region bounded by the curves y=x?, x=2, x= 3, and y=0 about the line x = 4....
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis, 5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
(6 points) Find the volume of the solid obtained by rotating the region bounded by y = x4, y = 1; about the line y = 3 Answer: (6 points) Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x = -6 y= x², x = y? Answer:
(1 point) Book Problem 9 Find the volume of the solid obtained by rotating the region bounded by the curves: 12 6 x ; about y 3x , y = = Volume (1 point) Book Problem 11 Find the volume of the solid obtained by rotating the region bounded by the curves: a2/4 22 ; about x =-3. y = x Volume: (1 point) Book Problem 9 Find the volume of the solid obtained by rotating the region bounded by...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y-7V36-,yo,x,x -2; about the x axis Sketch the region Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y-7V36-,yo,x,x -2; about the x axis Sketch the region
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.
1. Consider the region bounded by the y-axis and the functions y and y-8 Set up (but do not evaluate) integrals to find (a) The area of this region. (b) The volume of the solid generated by rotating this region about the y ad sn axis using shells. (c) The volume of the solid generated by rotating this region about the vertical line r5 using washers 2. Set up (but do not evaluate) an integral to ind the work done...