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Math1041ReviewTest2AnswerKey - f x x y IP IP K 2 2 Section...

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Math 1041 Answer Key to Test 2 Review Spring 2011 Section 3.6 8. f 0 ( x ) = 9 sec x tan x - 12 csc 2 x Section 3.7 24. y 0 = - t 1 - t 2 Section 3.8 34. y = - 2 xy e x 2 - 4 e x 2 - 4 + 2 y , y = - 8 5 x + 26 5 Section 3.9 24. y 0 = - 2 x 1 - x 4 26. y 0 = x 1 + x 2 + tan - 1 x 28. y 0 = e x 1 - e 2 x Section 3.10 16. y 0 = 1 x + 1 - 3 x 2 x 3 + 1 36. y 0 = x cos x ± cos x x - sin x ln x ² Chapter 3 Review 122. y 0 = e 3 x ( x - 2) 2 ( x + 1) 2 ³ 3 + 2 x - 2 - 2 x + 1 ´ Section 4.7 6. - 6 12. 0 42. 0 44. e Section 8.4 13. T 2 = x - 1 2 x 2 , T 3 = x - 1 2 x 2 + 1 3 x 3 , ln 1 . 3 = f (0 . 3) T 3 (0 . 3) = 0 . 264 32. ( a ) T 3 = 3 + 1 6 ( x - 8) - 1 216 ( x - 8) 2 + 1 3888 ( x - 8) 3 , f (0 . 8) T 3 (8 . 02) 3 . 003331484 Section 4.2 52. The absolute minimum is f (0) = 0, the absolute maximum is f (1) = 1 e . Section 4.3 2. c = 25 4

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Section 4.4 8. Concave up on (1 , ), concave down on ( -∞ , 1); IP at t = 1 58. A possible graph of
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Unformatted text preview: f ( x ) x y IP IP K 2 2 Section 4.5 72. lim x →±∞ 3 x x 2-1 = 0 implies that y = 0 is a horizontal asymptote of f ( x ) = 3 x x 2-1 . Similarly, lim x →±∞ 3 x 2 x 2-1 = 3 implies that y = 3 is a horizontal asymptote of f ( x ) = 3 x x 2-1 . Hence, the graph (A) is the graph of f ( x ) = 3 x 2 x 2-1 and the graph (B) is the graph of f ( x ) = 3 x x 2-1 . Chapter 4 Review 56.-∞...
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Math1041ReviewTest2AnswerKey - f x x y IP IP K 2 2 Section...

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