MAT187H1 Midterm: MAT187H1_20161_631492975106MAT187H1S_2016_CALCULUS II_Solution
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University of toronto, faculty of applied science and engineering. Examiners: d. burbulla, s. cohen, b. galv ao-sousa, p. milgram: panchenko, m. pawliuk, l. -p. thibault. Make sure you have all of them: you can use pages 13 14 for rough work or to complete a question (mark clearly). 2. (2 marks) when calculating the integral we obtain the sum of the following terms (circle all that apply): Z x4 + 2 x(x 3)2(1 + x2) dx, (a) a ln |x| (d) d ln |x 3| (g) g ln(1 + x2) (j) j arctan(1 + x2) (b) 1 + x2 (k) k arctan(x) (l) l x arctan(x) 3. (2 marks) tea is poured in a mug at a constant rate (constant volume per unit time). The graph on the right shows the depth of tea in the mug as a function of time. Which of the mugs below was used? (circle one option).
