161_exam_probrev

# 161_exam_probrev - MA 16100 FINAL EXAM PRACTICE QUESTIONS 1...

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Unformatted text preview: MA 16100 FINAL EXAM PRACTICE QUESTIONS 1. lim x → 1 x 2- 1 x 2- x = A.- 1 B. 0 C. 1 D. 2 E. Does not exist 2. If y = ( x 2 + 1) tan x , then dy dx = A. 2 x tan x + ( x 2 + 1) sec 2 x B. 2 x sec 2 x C. 2 x tan x + ( x 2 + 1) tan x D. 2 x tan x + 2 x sec 2 x E. 2 x tan x 3. If h ( x ) = x 2 + a, for x <- 1 x 3- 8 for x ≥ - 1 determine all values of a so that h is continuous for all values of x . A. a =- 1 B. a =- 8 C. a =- 9 D. a =- 10 E. There are no values of a . 4. Evaluate lim x → + x cos 1 x . (Hint:- 1 ≤ cos 1 x ≤ 1 for all x 6 = 0.) A. 0 B. 1 C.- 1 D. π 2 E. Does not exist 5. If f ( x ) = 1 x + 3 , then lim x → 1 f ( x )- f (1) x- 1 = A. 1 4 B. 1 16 C.- 1 16 D.- 1 4 E. Does not exist 6. The equation x 3- x- 5 = 0 has one root in the interval (- 2 , 2). This root is in the interval: A. (- 2 ,- 1) B. (- 1 , 0) C. (0 , 1) D. (1 , 2) E. (- 1 , 1) 7. If f ( x ) = 1- x 1 + x , then f (1) = A.- 1 B.- 1 2 C. 0 D. 1 2 E. 1 8. If y = ln(1- x 2 ) + sin 2 x , then dy dx = A. 1 1- x 2 + cos 2 x B. 1 1- x 2 + 2 sin x cos x C. 1 1- x 2 + 2 sin x D.- 2 x 1- x 2 + cos 2 x E.- 2 x 1- x 2 + 2 sin x cos x 9. Find f 00 ( x ) if f ( x ) = 1- x 1 + x A....
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161_exam_probrev - MA 16100 FINAL EXAM PRACTICE QUESTIONS 1...

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