MATH V1101 Study Guide - Midterm Guide: Farad, 32X

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goldwasp261

20 Apr 2020

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Midterm i (sample a: you have 75 minutes to complete your work. The total: 40 points: except for true/false and matching problems, show your reasons and computations, no notes, books, calculators, computers, or other electronic aids are allowed. Problem 1. (8 points) mark true or false. No justi cation is needed. (1) t (2) t (3) t (4) t (5) t (6) t (7) t (8) t. The function tan(x) is continuous everywhere on the x-axis. Any function passes the horizontal line test. ln(ln e) = 0. The intermediate value theorem assures that a continuous function has a derivative. arcsin( 1. The 100th derivative of the function f (x) = ex + x99 is f (100)(x) = ex. 4 . sin( 1 x ) = 0. lim x 0 f (x) = Problem 2. (1) (5) on the left and curves (a) (e) on the right.

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Please I need quick help these questions they are due so soon. Thanks

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pinkcrocodile662

Problem 4 Circle your answer. a) (6 points) If f(x) = 2x + 3x2 - 361 + 5, then the tangent line to the graph y= f(x) is horizontal when i) 1 = -2,3 ii) I = 2,-3 iii) r = 0 iv) not listed b) [6 points] Suppose Given h(x) = f(g(T)), where g(2) = 3, g'(2) = 7, f'(2) = -1 and 1'(3) = -2. Then h'(2) is equal to i) - 1 ii) -2 iii) - 14 iv) not listed (x+3)(1 - 1)3 c) (6 points) The function f(1) == (x2 - 2x + 1)(x + 3) wa has vertical asymptotes at i) x = -3,0 ii) = -3,0,1 iii) x = 0,1 iv) not listed d) (6 points] The solution to the initial value problem v'(x) = 473 – cos(x) +e", y(0) = 3 is i) y(x) = x + sin(x) + e* + 2 ii) y(I) = x4 – sin(x) +et+2 iii) y(x) = 2* – sin(1) + et + 3 iv) not listed

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MATH V1101 Study Guide - Midterm Guide: Farad, 32X

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