mt01sol2009yellow.pdf - Math 19B Midterm 1 Version 2 Dr...

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-----------------',' " , " ,,\ Midterm 1 Version 2,'. ,..' /, Math 19B 1/30/2009 , Dr. Frank Bauerle, UCSC Note: Show your work. In other words, just writing the answer, even if correct, may not be sufficient for full credit. Scientific calcula-tors are allowed, but no programmable and/or graphing calculators. Your Name: ---------+-----------Your TA's Name: Problem 1: out of 35 Problem 2: out of 10 Problem 3: out of 5 Problem 4: out of 20 Problem 5: out of 5 Problem 6: out of 10 Problem 7: out of 15 Total: out of 100 Good luck and have a good weekend!
1. (35 points) Evaluate the following definite and indefinite integrals. integral does not exist, explain why. (b) r; 2edx_ 111 10 1 -3 (c) / tsin(w t2 ) cos2 (w t2) dt where w is a positive real number constant. If an 2+ e2 lA:: C{)1 Cw t 1) vtlA.~-lwt Sl V\ (w +1..) C\t 2
2. (10 points) The velocity function v(t) = 2 sin( :t) is given for a particle moving (back and forth) on a straight line. Assume v (t) is measured in meters per second. Find the following: (a) The displacement of the particle between time t = 1 and time .t = 6.
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