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e2_prac_F2010

# e2_prac_F2010 - M408C Practice problems for Exam#2...

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M408C Practice problems for Exam #2 Directions . Indicate the correct answer for each problem by filling in the appropriate space, as in (A) ( ) (C) (D) (E). 1) If f ( x ) and g ( x ) are continuous for all x , which function below might not be continuous for all x ? (A) f ( g ( x )). (B) braceleftbigg xf ( x ) , x 0 xg ( x ) , x > 0 . (C) f ( x ) 3 - cos( g ( x )) . (D) braceleftbigg f ( g ( x )) , x 0 g ( f ( x )) , x > 0 . (E) | f ( x ) g ( x ) | . 2) For f ( x ) as shown, on what subset of [ - 2 , 4] is f ( x ) 0. 0 1 2 4 3 x -2 -1 y y = f(x) (A) [ - 2 , - 1] [1 , 3]. (B) [ - 1 , 1) [3 , 4]. (C) [ - 2 , 1]. (D) [1 , 3]. (E) [ - 1 , 1] [3 , 4]. 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) 36cm / sec 2 . (B) - 12cm / sec 2 . (C) 32cm / sec 2 . (D) 48cm / sec 2 . (E) - 24cm / sec 2 . 4) If f ( x ) is continuous for all x and satisfies f (0) = - 2 and f (1) = 3, which statement below could be false ? x c f ( x ) exists for all c .

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e2_prac_F2010 - M408C Practice problems for Exam#2...

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