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Find the volume (or set up integral) of the solid obtained by rotating the region bounded...
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...
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...
3. Sketch the solid and a typical disk for the solid obtained by rotating the region bounded by the given curves about the specified line. Set up and evaluate an integral that calculates the volume of the solid points) y = **. y = 4, and x = 0 about the y-axis solid and disk: b. Same region as in part (a), about the line y = 4 solid and disk: 4. Find the volume of the tetrahedron using an...
(5 points) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=r?, y = 2x - x?; about the z-axis
Set up an integral for the volume of the solid obtained by retating the region bounded by the given curves about the specified inve. Then use your calculator to evaluate the integral correct to five decimal places 2 44 a) About y 2 About x-2 Set up an integral for the volume of the solid obtained by retating the region bounded by the given curves about the specified inve. Then use your calculator to evaluate the integral correct to five...
10. Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis. Graph the region, the height, and show the radius of a shell on your own paper. Set up integral, do not evaluate. y=x^2, y=0, x=1, x=8, about x=1
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the x axis using the shell method 1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1 V = Sketch the region. у 21 у 2 X -2 - 1 2 - 2 - 1 -1 O -2 -2 O у 21 у 2. V -2 2 -2 2 -1 Sketch the solid, and a typical disk or washer. V } V 2 1 - 2...
sketch the solid and a typical dish or washer obtained by rotating the region bounded by the given curves about the specified line. y= 8x, y= 8sqrt(x); about y=8 Sketch the solid, and a typical disk or washer. 1 03 05 15 y=05 os 15
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...