MTH 161 Midterm: MTH 161 University of Rochester Exam1a

• School: University of Rochester
• Department: Mathematics
• Course: MTH 161
• Professor: All

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Heap milinovich neisendorfer: no calculators, notes, or books, please show all your work, clearly indicate your nal answer. 1: (10 pts) (a) solve 3 1 2x < 5 (b) solve |x + 2| 4, (7 pts) Find an equation of a line through the point ( 1, 2) that is perpendicular to the line 2x + 5y + 8 = 0. 2: (15 pts) graph the following functions on the same coordinate system. Let f (x) = x3 + 1, g(x) = n x, and h(x) = e2x. (a) Find (g h)(x). (c) find f 1(x). (d) solve g(x2) = 10. Your answer should be a real number, , or. , or d. n. e. (does not exist). (a) lim x 2 x2 + 5 x3 2 (b) lim x 3 x2 9 x2 + x 12 (c) lim x 1+ x2 + 4 x2 1 (d) lim x . 6x2 + 4x + 7 (e) lim x 0.