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Unformatted text preview: M408C Practice problems for Exam #1 Directions . Circle the letter of the correct answer (only one) for each problem. 1) Consider the following graph of a function f ( x ). For which values x = 0 , 1 , . . ., 4 is f ( x ) continuous from the right? x 1 2 4 3 y y = f(x) (A) 0 , 1 , 2 , 3 , 4. (B) 1 , 3 , 4. (C) 0 , 2 , 3. (D) 0 , 1 , 4. (E) 1 , 3 , 4. 2) A slide is to be built with a profile f ( x ) = braceleftbigg cx 2 , ≤ x < 1 2 x + d, 1 ≤ x ≤ 2 bracketrightbigg . For which values of c and d will the slide be smooth and have continuous slope for all x ∈ [0 , 2]? x 2 y y = f(x) (A) c = 2 , d = 0. (B) c = 1 , d = 1. (C) c = 3 , d = 1. (D) c = 1 , d = 2. (E) c = 4 , d = 2. 3) The position s [cm] of a particle at time t [sec] is given by s ( t ) = 3 tan(2 t ), t ≥ 0. What is the acceleration of the particle at time t = π/ 8? (A) 36 cm sec 2 . (B) 12 cm sec 2 . (C) 32 cm sec 2 . (D) 48 cm sec 2 . (E) 24 cm sec 2 ....
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This note was uploaded on 09/03/2008 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas.
 Spring '06
 McAdam

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