MAT 202 Final, Fall 2013

American University of Science and Technology · Calculus II · 2 pages

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MAT 202 Final, Fall 2013, page 1

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MAT 102/202 1. (30pts-5pts each)Evaluate the following integrals: a. b. c. d. e. f. 2. (10pts-5pts each) Find the following derivatives: a. b. 3. (10pts) Find the volume of the solid generated by revolving about the x-axis, the region in the first quadrant enclosed by the x-axis, the y-axis and the curve and the line 4. (5 pts) Find the length of the curve: 5. (10pts-5pts each)Test the following integrals for convergence: a. b. 6. (15pts-7.5pts each)Evaluate the following integrals: 1/2 MAT 102/202 a. b. (Reverse the order of integration) 7. (10pts-5pts each)Solve the following problems: a. Find the acute angle between the 2 vectors : b. Find the unit vectors that are parallel and normal to the vector: 8. (10pts-5pts each) Solve the following problems: a. Find knowing that b. Solve for : 2/2