6. (5 points Using the washer method, set up an integral to calculate the volume of...
30 points) (a) (12 points) Set up an integral representing the volume of the solid obtained by rotating about the x-axis the region bounded by y = x3 + 1, x = 0, x = 2, and y= 1. You do not need to evaluate the integral. (b) (18 points) Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x2 and y= 0.
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...
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...
Set up, but DO NOT evaluate an integral to find the volume of the following solid: The solid generated by rotating the region bounded between y=1+sec x, y = 3, 2 = 7/3, and x = -7/3 about the line y = 1. Use the washer method.
Draw out washer, shell, or disc as indicated. Using a reference rectangle is mandatory. 5) (24 points) Set up and evaluate an integral to find the volume of solid obtained by rotating about the given axis, the region bounded by the curves y=Vx and x= =18y. Use the given method. a. Axis: y-axis (Washer) b. Axis: y-axis (Shell)
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...
help. i dont know hwo to do this c) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating Pabout the line y- 1. Vertical or Horizontal slicing? Disk or a Washer? V.[[4ωά α V-[Λωω or Area of a slice A- Volume V d) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating about the y - axis. Vertical or Horizontal slicing? Disk...
1) Set up but DO NOT evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = cos?x, Ix S y = ; about x =
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,...
Set up an integral that calculates the volume of the solid formed when revolving the larger region about the line y 11. Use the washer method. Set up an integral that calculates the volume of the solid formed when revolving the larger region about the line y 11. Use the washer method.