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-...
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 point) The volume of the solid obtained by rotating the region bounded by y = x, y = 10x, about the line x = 10 can be computed using the method of washers via an integral v = ["40) dy where a = 0 .b = 10 and A(y) = pily/10^2-pi(sqrty1/2 The volume of this solid can also be computed using cylindrical shells via an integral v = ["avde where a = and A(x) = In either case, the...
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = Vx – 1, y = 0, x = 2, and x = 5 about the x-axis. Volume =
(1 point) The volume of the solid obtained by rotating the region enclosed by y=e" + 4, y=0, x=0, x=0.3 about the x-axis can be computed using the method of disks or washers via an integral V= / with limits of integration a = and b= The volume is V= cubic units. Note: All answers must be correct to receive full credit.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=2/x, y = 0, x=1, x=3; about y =-1 Sketch the region then on your own sketch the solid, and a typical disk or washer. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=2/x, y = 0, x=1, x=3; about y =-1 Sketch the region then...
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y= e- y0, x= -5, x-5 (a) About the x-axis (b) About y-1 Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate...
The volume of the solid obtained by rotating the region enclosed by y=e^(2x)+4, y=0, x=0, x=0.2 about the x-axis can be computed using the method of disks or washers via an integral: with limits of integration a= and b= . The volume is V= cubic units.
Please solve for number 8. Thank you!! 7-10. Use the region R that is bounded by the graphs of y x-4, and y = 1 to complete the exercises. + 4 Region R is revolved about the x-axis to form a solid of revolution whose cross sections are washers. 7. a. What is the outer radius of a cross section of the solid at a point x in [0, 4]? b. What is the inner radius of a cross section...
7) Find the volume of the solid generated by rotating y = x and y = x² about the line x = 2. Graph the region, the representative rectangle according to the method and include any other graphical information depending on the method used like radii. Write your integral on the blank line. Find and box your numerical answer. By disks/washers By Shells
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+...