MAC 2312 Midterm: MAC2312 C06 Test 3
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Instructions: write your complete solutions on your answer paper. No graphing calculators are allowed to be used. (1) (10 points each) determine whether the integral converges or diverges. X 1 dx x2e x dx (2) (20 points) the parametric curve de ned by x = t2, y = t(t2. For each convergent sequence, nd the limit. (a) an = (cid:18) 1 (b) an = 1 + n (6) (5 points) plot the curve x + y = 6. Convert the equation to polar coordi- nates and show on the graph the two points where = 0 and = /2.
