Draw out washer, shell, or disc as indicated. Using a reference rectangle is mandatory. 5) (24...
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 (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
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
6. (5 points Using the washer method, set up an integral to calculate the volume of the solid obtained by rotation around the y-axis the region bounded by the graphs of y = (x - 1)' + 2 and y=2,1 <<3. (DO NOT evaluate the integral) -1 L 1 2 3 4
I want to know when to use shell method and when to use washer method. and how to evaluate the improper integral. 1. Consider the region bounded by the graphs of f(x)-21 and g(x) 3-x2. 1.(a). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral. 24a). (I point) Is the integral dx an improper integral? 2.a). (1 point) Is the integral dx an...
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and label the typical rectangle(s) needed to use the shell method to find the volume of the resulting solid. (b) Use the shell method to find the volume of the resulting solid 2 pts [9 pts] 4. (a) If the region sketched in (1) above is revolved about the line x-O。-axis), sketch and label the typical rectangle(s) needed to use the disk/washer...
please help! thanks so much My Notes 5. -/1 points SCalcCC4 6.3.010. Consider the given curves to do the following. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about thex axis. Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.) Need Help? Read ItTalk to a Tutor 6. -/1 points SCalcCC4 6.3.014...
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
#35 and 43 35-38. Shell and washer methods Let R be the region bounded by the following curves. Use both the shell method and the washer method to find the volume of the solid generated when R is revolved about the indicated axis.. 35. y = x, y = x1/3, in the first quadrant; about the x-axis y = - y = 1 - about the x-axis x + 1) 37. y = (x - 2)3 – 2, x =...
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...