MTH 161 Midterm: MTH 161 University of Rochester Midterm1MidtermH161Fall09
31 Jan 2019
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Indicate your instructor with a check in the box: Tth 2:00 - 3:15 am: the presence of calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden, show your work and justify your answers. You may not receive full credit for a correct answer if insu cient work is shown or insu cient justi cation is given: clearly circle or label your nal answers. Math 161 (calculus ia: (8 points) (a) find the solution set of the following inequality. x2. Calculate the following expressions. (note: tan 1 is another notation for arctan. ) (b) tan 1(tan( )) (c) cos(tan 1(x)) Math 161 (calculus ia: (10 points) let f (x) = x. 4x 5 and g(x) = 2 ex. (a) find a formula for f 1(x), the inverse of f . (b) find a formula for g 1(x), the inverse of g. (c) find f 1(2) and g 1(1). Label at least three points on the graph.
