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Pre-Calc Homework Solutions 152

# Pre-Calc Homework Solutions 152 - 152 Section 4.3 38(a...

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33. (a) Absolute maximum at (1, 2); absolute minimum at (3, 2 2) (b) None (c) One possible answer: 34. (a) Absolute maximum at (0, 2); absolute minimum at (2, 2 1) and ( 2 2, 2 1) (b) At (1, 0) and ( 2 1, 0) (c) One possible answer: (d) Since f is even, we know f (3) 5 f ( 2 3). By the continuity of f , since f ( x ) , 0 when 2 , x , 3, we know that f (3) # 0, and since f (2) 5 2 1 and f 9 ( x ) . 0 when 2 , x , 3, we know that f (3) . 2 1. In summary, we know that f (3) 5 f ( 2 3), 2 1 , f (3) # 0, and 2 1 , f ( 2 3) # 0. 35. 36. 37. (a) v ( t ) 5 s 9 ( t ) 5 2 t 2 4 (b) a ( t ) 5 v 9 ( t ) 5 2 (c) It begins at position 3 moving in a negative direction. It moves to position 2 1 when t 5 2, and then changes direction, moving in a positive direction thereafter. 38. (a) v ( t ) 5 s 9 ( t ) 5 2 2 2 2 t (b) a ( t ) 5 v 9 ( t ) 5 2 2 (c) It begins at position 6 and moves in the negative direction thereafter. 39. (a) v ( t ) 5 s 9 ( t ) 5 3 t 2 2 3 (b) a ( t ) 5 v 9 ( t ) 5 6 t (c) It begins at position 3 moving in a negative direction. It moves to position 1 when t 5 1, and then changes direction, moving in a positive direction thereafter.
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