MA 15200 Midterm: Exam 3 Spring 2012

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turquoisegnu128

31 Jan 2019

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Find the function values f ( 2) and (4) f. A the function is increasing on ( 8,8). B there is a relative minimum at x = 2. D the range of the function is [ 8, E there is a relative maximum value of 8. Iv there is a relative minimum value of -1. 5, f f f f f (4) 16 (4) 3 (4) 16 (4) 3 (4) 3. What are the slope and the y-intercept of the line with equation 6 x y . Which equation represents a line through (0, 2) and parallel to the line 5 x y . Find the x-intercept and the y-intercept of the line with equation 5. Use the intercepts to decide which choice is the correct graph of the line. The axes are in bold print and the scale on each is 1 unit per hash mark. E y varies directly as x and inversely as z.

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Need help with a critical point question, fast response would be appreciated.

10. Consider the function if 0 1. Which of the following are true? I. lim (2) exists II. lim h(x) exists III. lim h(x) exists IV. h(x) is continuous at x = 1 (C) I, II, and III only (A) I only (D) IV only (B) I and II only (E) I, II, III, and IV

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

MA 15200 Midterm: Exam 3 Spring 2012

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