1) 2) Use shells to find the volume (in units”) of the given solid. Note that...
1. 2. Sketch the enclosed region and use the Shell Method to calculate the volume of rotation about the x-axis. y = 16 - *?, * = 0, y = 0 Use shells to find the volume (in units”) generated by rotating the region between the given curve and y = 0 around the x-axis. 2 y = 1, and y = 6 1 1 + y units X
1. Use the method of cylindrical shells to find the volume of the following solids rotation (i) Spin the region bound by y -Vx,y 0, x-1 around the y-axis; (ii) Twist the area bound by x -1+(y-2)2 andx- 2 about the x-axis; (iii) Rotate the region between y - x2 and y -6x-2x2 around the y-axis; (iv) Twirl the space between y V and x 2y about the line x 5 2. Use both methods discussed in class to compute...
Disk/Washer Method to calculate the volume of the 5.) Use either the Shells Method or solid enclosed by the graphs about the given axis. Show the setup for the definite integral and use your calculator to compute the definite integral. (20-points) 4-x, y = x + 2, 0,2] about the x - axis The region enclosed by: y 2.5 2 1.5 1.0 .5 Disk/Washer Method to calculate the volume of the 5.) Use either the Shells Method or solid enclosed...
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
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 the x-axis. = x3, y = 27, x = 0 V = Sketch the region and a typical shell. y 301 y 30- 20 20 10 15) DETAIL X - 1 2 3 4 10- -101 -20 -2 2 -301 y 30F 3.0: 25 20: 20 10 15 11G - 1 3 4 10 -10...
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 = _______
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 the x-axis. x = 1 + (y − 5)2, x = 17 2-Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9
Find the area of the region enclosed by the curves: x = -sec^2 y, x = sec^2 y, y = 0, y = pi/4 Using the method of cylindrical shells to find the volume of the solid that results when the region enclosed by the curves is revolved around the y axis. y = sqrt (x+1), y = 1, x = 1 y = 3 sqrt x, y =0, x =1 Find the volume of the solid that results when...
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...
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+...