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152MockFinal

# 152MockFinal - MATH 152 FALL 2009 CALCULUS II FOR THE...

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MATH 152 FALL 2009 CALCULUS II FOR THE MATHEMATICAL AND PHYSICAL SCIENCES PRACTICE FINAL EXAM Note that your final will contain questions that are DIFFERENT from the ones below. This is simply my best guess what your exam might look like. You will benefit most from it by attempt- ing to take it as a practice exam AFTER you have reviewed all the topics in this course, under exam conditions (that is, during an uninterrupted time interval of 3 hours, without using your textbook or notes, without a calculator, but with the department’s formula sheet). Hints and final answers (but not fully worked solutions) will be available from Sakai on Sunday evening. Question 1. Determine whether n = 2 1 n ( log n ) 2 converges or diverges. Question 2. Find the volume of liquid needed to fill a sphere of radius R = 10 m to height h = 5 m. Question 3. Determine the values of x for which n = 0 x n n 4 + 2 converges. Question 4. Sketch the two circles given by the polar equations r = sin θ and r = cos θ . Find the area of intersection of the two circles.

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152MockFinal - MATH 152 FALL 2009 CALCULUS II FOR THE...

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