MATH 141 Midterm: MATH 141 Colorado State Exam 1 Summer 2018

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turquoisegnu128

15 Feb 2019

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Exam i math 141 summer 2018. Use the following graph to answer questions 1 through 5: lim x 1 f (x) = (a) 3 (b) 2. 3. lim x 4 f (x) = (a) 1 (correct) (b) 2 (c) does not exist (or unde ned) (d) none of the above. 2 (a) x 1/2 6x 2 (correct) x3/2 6x 2 (c) x1/2 + 6x 1 x 1/2 6x. 5: find (a) (b) (c) (d) d dx (cid:18) x3 1. 2x + 3(cid:19) (3x)(2x) (x3 1)(2x + 3) (2x + 3)2 (3x2)(2x + 3) 2(x3 1) (2x + 3)2 (correct) (3x)(2x) (x3 1)(2x + 3) (2x + 3) 2(x3 1) (3x2)(2x + 3) (2x + 3)2: find d dx(cid:0)(x2 + x)5(cid:1) (a) 5(2x + 1)4 (b) 5(x2 + x)4(2x + 1)3 (c) 2x + 1 (d) 5(x2 + x)4(2x + 1) (correct)

Related Questions

1. (18 pts) The graph of a function f, defined on (-0, +o), is given in the figure below. - - y = f(x) - - - - - - N - - 4 A -2-1 144 -1 - - - - - - - -- - - -- Use the graph of f to answer questions (a)-(f) below. (a) Determine the value or write "does not exist". i. f(-3) = -2 ii. f(0) = 1 (b) Determine the limit or write "does not exist" (DNE). Write "does not exist" only if a limit does not exist and is not too or -0. i. lim f(x) = 0 iv. lim f(x) = +00 X- 3 x2 ii. lim f(x) = -4 v. lim f(x) = -0 X- 0- x -00 iii. lim f(x) = DNE vi. lim f(x) = -2 x0 x++00 (C) MULTIPLE CHOICE! Circle ONLY one answer! Find a number a for which the following statement is true (the function f is shown above): STATEMENT: The function f is continuous at a, and lim f(x) = 0. i. a=-3 iii. a=0 V. a=3 ii. a = -2 iv. a = 2 vi. Such a number does not exist. (d) Determine the largest intervals of continuity of f. Use interval notation to write your answer. (-0, -3), (-3,0), (0, 2), (2, +00) (e) Write the equation(s) of all vertical asymptotes of f. Write "none" if appropriate. x= 2 (f) Write the equation(s) of all horizontal asymptotes of f. Write "none" if appropriate. y = -2