Author: Anonymous

Find the volume of the solid bounded by the graphs of the gi…

Find the volume of the solid bounded by the graphs of the given equations and revolved about the y-axis,    (5 pts) Sketch the typical rectangle that will be rotated, the solid, and a typical disk or washer in the upload submission. (4 pts) Show your work in the upload submission. Input the final answer in the given space below. (1 pt) The volume of the solid obtained by rotating the region about the specified line is

Use the method of cylindrical shells to find the volume of t…

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. (3 pts) Sketch the area enclosed by the given curves and draw a typical cylinder shell in the upload submission. (4 pts) Set up the integral for the volume based on your sketch and find the resulting volume in the upload submission. (2 pts) Input your answer with the correct unit in the provided space below. Type “pi” for “π” The exact volume is 

For the given function: (3 pts) Based on the definition of…

For the given function: (3 pts) Based on the definition of continuity, state what you have to check to determine whether a function is continuous at x=a. Input your answers in the given space below. (4 pts) Use limits and the definition of continuity to determine whether the function is continuous at x=2. Is the function continuous at x=2? Input ‘Yes’ or ‘No’ in the given space below, then show your work in the upload submission.