MATH 112 Midterm: MATH112 Midterm 1 2009 Spring Solutions
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Math 112 exam i hints and answers. Spring 2009: (4 points each) (a) hint: draw the line tangent to a"s distance graph at t = 9 and compute its slope. Answer: h 2. 25 (c) hint: first, nd the points at which a and b have the same instantaneous speed (slide your ruler parallel to b"s distance graph until your ruler is tangent to a"s distance graph). Then consider how the tangent lines would have to look when b is moving faster than a. Answer: from t = 2. 25 to t = 7. 75 (d) answer: the graph of b"s instantaneous speed would be a horizontal line, 0. 75 units above the t-axis. 2. (a) (5 points) answer: f(4 + h) f(4) (b) (3 points) answer: f0(20) = 76 (c) h. = 12 2h: (3 points) hint: let m = 5 and h = 0. 002 in the formula for g(m + h) g(m) to.
