MATH 100 Final: MATH 100 KSU Final Exam s05

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Ta"s name: this exam is closed book. You may use one 8. 5 11 sheet of handwritten notes (both sides ok). No photocopied materials are allowed: no calculators of any kind are allowed, in order to receive credit, you must show all of your work. Please make sure that your exam is complete. Page 1 of 10: (10 total points) evaluate the following inde nite integrals. (a) (5 points) z t5 sin(t3) dt (b) (5 points) z. Page 2 of 10: (10 total points) evaluate the following de nite integrals. (a) (5 points) z 1. 0 ln(1 + t2) dt (b) (5 points) z 2. Page 3 of 10: (10 points) determine whether the following improper integral is convergent or divergent. Page 4 of 10: (10 points) a particle is moving along a straight line. For time t 0, the velocity of the particle is given by. Let b be an arbitrary number greater than 10.