First midterm-Practice test
This is a practice exam for the first midterm. Feel free to drop any comment or question below. I will try to answer here as many as possible, until Wednesday Sept 07. Also, remember that Alex is holding a review session during his recitation on Monday Sept 05, and Kevin will be available during his usual SI sessions. Good luck!
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- [10 pts] Find the area of the region that is enclosed between the curves and
- [15 pts] Find the volume of the solid that is obtained when the region under the curve over the interval is revolved about the -axis.
- [15 pts] Find the volume of the solid generated when the region enclosed by and is revolved about the -axis.
- [10 pts] Use the Fundamental Theorem of Calculus to find the derivative of the function
- [15 pts] Find the volume of the solid obtained by rotating the region bounded by the curves and about the –axis.
- [10 pts] Find the average value of the function over the interval
- [15 pts] Find a positive value of such that the average value of over the interval is .
- [10 pts] Evaluate the integral
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Are you going to post the answers for this before the test tomorrow?
For number 7, I get arcsin (x/k) = pi*2k. Now, where do I go from there? I know that the x value is anywhere from -k to k, but in any case I will just get an angle. How do I find something that will produce the 2k part of the answer?
Solve that equation for the corresponding value of , that’s all.