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SC/MATH 1014 3 Test 2 with 100% satisfactory answers

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SC/MATH 1014 3 Test 2 with 100% satisfactory answers Name Student number Email address The total number of points for the Test is 50. Instructions: 1. Show all significant steps. No marks... will be given for the answer alone. 2. All cell phones and pagers are to be turned off. 3. Valid identification must be present at the time of the test. 4. Solve the problems in the spaces provided. If you need more space, use the back of the previous page (indicate this fact on the original page). 5. NO AIDS ARE ALLOWED. 6. USE A PEN TO WRITE THE FINAL ANSWER. 7. DRAW A BOX AROUND YOUR FINAL ANSWERS. Test #2 contains 5 questions on 8 pages. Read the instruction carefully and sign below: (Signature) Question 1 2 3 4 5 Total Marks 10 10 10 10 10 50 Score 1. (10 points) Find the exact arc length of the curve 9y2 = 4(x2 1)3, with 2 x 3, y 0. 2. (10 points) The given curve is rotated about the y-axis. Write the integral that represents the surface area of the resulting surface: y = 1 (x+1)3/2, where 0 ≤ x ≤ 11. 3. (10 points) Test the series for convergence or divergence ∞ 6 n − 5 . 4. (10 points) Test the series for convergence or divergence ∞ Σ(−1)n ln n . n=1 n 5. (10 points) Test the series for convergence or divergence Σ n . n=1 2n [Show More]

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