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Unformatted text preview: MAC2233 Test 4 A (7 pts) 1. Given f ( x ) = ln √ x 2 5, f (3) is equal to: A. 3 4 B. 3 8 C. 3 2 D. 2 3 E. 3 16 (7 pts) 2. The equation of the tangent line to g ( x ) = 2 xe 3 x at x = 1 is given by: A. y = 3 e 3 x + 5 e 3 B. y = 4 e 3 x + 6 e 3 C. y = 2 e 3 x + 4 e 3 D. y = 5 e 3 x 3 e 3 E. y = 3 e 3 x e 3 (7 pts) 3. Given f ( x ) = 2 x 2 ln x , which of the following statements are true: I. the domain of f ( x ) is (∞ , ∞ ) II. the function is increasing at x = 1 III. the critical points of the function are x = ± 1 2 IV. The function is concave upward on (0 , + ∞ ) A. only I and II B. only II and III C. only II and IV D. only II, III, and IV E. only I, III, and IV (7 pts) 4. If f ( x ) = e x 2 x and f (0) = 2 , f ( x ) is given by: A. e x + 1 2 x 2 + 1 B. e x x 2 + 1 C. e x + x 2 1 D. e x + x 2 + 1 E. e x 1 2 x 2 + 1 (7 pts) 5. The area of the region under the graph of h ( t ) = 4 t 3 √ t 4 + 3 on the interval [0 , 2] is given by: A. 1 3 [( √ 19) 3 ( √ 3) 3 ] B....
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.
 Spring '08
 Smith
 Calculus

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