qb_prac_F2007 - 8 The area of the region Ω is 1 x y Ω y...

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M408C Practice problems for Quiz B Directions . Circle the letter of the correct answer (only one) for each problem. 1) Which Fgure below shows a graph of y = log 2 x ? (A) 2 4 6 8 10 x y (B) 2 4 6 8 10 x y (C) 2 4 6 8 10 x y (D) 2 4 6 8 10 x y (E) 2 4 6 8 10 x y 2) If ln( x + 1) = 2 + ln x , then x = (A) 1 e 2 - 1 . (B) e 2 + 1. (C) 1 2 + e 2 . (D) 3 e + 1. (E) e e - 1 . 3) If f ( x ) = 3 - 2 x log 3 (2 x ), then f p (1) = (A) 1 9 ln 3 - ln 4 9 . (B) 2 3 ln 6 + ln 6 8 . (C) 2 3 ln 3 + ln 3 3 . (D) 1 9 ln 9 - ln 2 3 . (E) 1 6 ln 3 - ln 6 9 . 4) If y = e xy + x , then dy dx = (A) e y - 1 1 + e x . (B) x + y e x + e y . (C) 1 + xe xy 1 + ye xy . (D) 1 + ye xy 1 - xe xy . (E) xe xy - ye xy x + y . 5) The volume of the solid obtained by revolving Ω around the x -axis is: 0 1 y = 10 x y -x (A) π 100 ln 5 . (B) 99 π 200 ln 10 . (C) π 100 ln 10 . (D) 101 π 200 ln5 . (E) 97 π 200 ln 10 .
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6) If f ( x ) = (1 + e - 2 x ) 2 , then f p (0) = (A) 8 e . (B) - 2 e . (C) - 8. (D) 2. (E) 4 e . 7) i ln 2 0 e x 1 + e x dx = (A) ln(2 / 3). (B) ln(3 / 2). (C) e 2 - 1. (D) 4 e - 1. (E) ln(ln(2)).
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Unformatted text preview: 8) The area of the region Ω is: 1 x y Ω y = x e 1-x 2 (A) e-1 2 . (B) 1 + e 4 . (C) 2 e . (D) e 2 . (E) 1 e + 2 . 9) i 1 1 / 2 2 r 1-(1-x ) 2 dx = (A)-π 6 . (B) √ 2 π 2 . (C) π 3 . (D)-3 π 4 . (E) 2 π 3 . 10) The temperature in a reaction is given by T ( t ) = te-2 t + 30, t ∈ [0 , 5]. On what interval is the temperature increasing? (A) (0 , 1). (B) (0 , 1 2 ). (C) (1 , 5). (D) ( 1 2 , 5). (E) (1 , 2). 11) The function f ( x ) = x 1 / 2 ln( x ), x > 0 has a local min at x = (A) 1 e . (B) 1 e 2 . (C) 1. (D) e 2 . (E) e ....
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This note was uploaded on 03/20/2008 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas.

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qb_prac_F2007 - 8 The area of the region Ω is 1 x y Ω y...

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