MTH 252H Study Guide - Quiz Guide: Antiderivative, Power Rule
11 Oct 2018
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3 x3 cos(x: 1, x3 4 cos(x) + c, none of these is correct. (5pts) problem 2: Justi cation includes mathematical work as well as verbal explanations. For multiple choice questions you get 1pt for the correct answer and up to 4pts for the explanation. (5pts) problem 1: (cid:90) x2 + 4 sin(x) dx : x3 4 cos(x, 1. 3 x3 cos(x: 1, x3 4 cos(x) + c, none of these is correct. Solution: though we can check each answer by di erentiating to see if it is correct, it is probably faster to simply nd the anti-derivative of the given function. Power rule for anti-derivatives and our knowledge of derivatives for trig and exponential functions, we get: x3 4 cos(x) + c. Since this matches none of the options, the correct answer is e. (5pts) problem 2: The velocity (in m/s) of a long-distance runner can be modeled by (cid:26) 2t. 3 t 1200 where t is in seconds.
