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Evaluate the following integral. (8 pts) Clearly show your work in the upload submission. (2 pts) Input your answer in the provided space below. Type pi for π

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 

Find the equation of the tangent line (in slope-intercept form) to the curve  at the point (π, 0) (6 pts) Clearly show your work in the upload submission. (2 pts) Enter your answers in the space provided below using the equation editor.  

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.

Given:   Assume f is one-to-one.  (7 pts) Show your work in the upload submission. Input the final answer in the given space below. (1 pt) The is

Prefix that means below, sub

Prefix that means towards the front

A patient with bilateral pains hurts on:

The prefix “Peri” means around, surrounding.  

The scrapes on the elbow of the child were described as _________ injuries.