Warmup #15 Arc Length & Surfaces of Revolution.

Course

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The first three questions refer to the material you were to read in preparation for the lesson. Questions one and two require you to write a three or four sentence response. Number three is a multiple choice question. Click in the appropriate circle. Questions 4 is your opportunity to suggest what we should emphasize today and how.

You may change your mind as often as you wish. When you are satisfied with your responses, click the SUBMIT button at the bottom of this page.


Remember, to indicate an exponent, use the ^. i.e.you can indicate x2 by x^2

 

In Problems 1 - 3, find the length of the arc described.

1. x = cos3 q, y = sin3 q; from q = 0 to q = p/2.





2. x = et sin t, y = et cos t; from t = 0 to t = p.





3.

 






4. The given arc is rotated about the x axis. Find the area of the resulting surface.

x = t + 2, y = t3; from t = 0 to t = 2.

 







5. Below is a space for your thoughts, including general comments about today's assignment (what seemed impossible, what reading didn't make sense, what we should spend class time on, what was "cool", etc.):




You may change your mind as often as you wish. When you are satisfied with your responses, click the SUBMIT button.

I received no help from anyone on this assignment.