MTH 252H Study Guide - Midterm Guide: Unit Circle, Riemann Sum, Scilab
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Explain your reasoning. (8pts) problem 2: (cid:90) 5x4 1 x5 dx = Interpret your answer and include units. (8pts) (b) 1 x dx: i & ii, ii & iii. 0: i only, ii only, iii only. Unjusti ed answers will receive no credit. (10pts) problem 1: Find the average temperature over an 8-minute re-entry. Solution: in order to nd the average temperature, we need to nd the total area under the temperature curve between t = 0 and t = 8 minutes, and then divide by the length of the interval. The average temperature of serenity"s hull over an 8-minute re-entry will be 1, 120 c. = 1, 120 (8pts) problem 2: (cid:90) 5x4 1 x5 dx = Solution: because 5x4 is (almost) the derivative of 1 x5, we will use the change of variables technique to help us evaluate this inde nite integral.