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Calc 1 WA 4 - WA 4 Calculus I Chapter 4 Section 4.1 f x f x...

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WA 4 Calculus I Chapter 4 Section 4.1 24) ( 29 [ ] ( 29 ( 29 ( 29 ( 29 2 2 4 1,1 ' 2 2 0 2 2 2 1 2 1 & 1, 5 1, 1 f x x x f x x x x CriticalPoint minimum maximum = + - - = + = + = - + = - - - = - 28) ( 29 [ ] ( 29 ( 29 3 1 3 2 3 1,1 1 ' 3 1 min 1, 3 1 max 1, 3 g x x g x x g x x no critical point - = - = = = - - = Section 4.4
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12) ( 29 ( 29 ( 29 3 2 2 2 3 12 5 ' 6 6 12 1 '' 12 6 2 1 , 1.5 2 0.25 0.75 6 5 1.5 1 , 2 1 , 2 f x x x x f x x x f x x concavity changesx points of inflection concave up concave down = - - + = - - = - = - - - + = - - 14) ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 4 3 2 2 8 3 ' 8 8 '' 24 @ 0 0,3 0, ,0 f x x x f x x f x x concavity changes x point of inflection concave up concave down = - + = - = = - 16) ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 4 3 3 2 2 2 2 ' 4 6 '' 12 12 @ 1 1, 1 1, ,1 f x x x x x f x x x f x x x concavity changes x point of inflection concave up concave down = - = - = - = - = - -
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Section 4.5 22) 3 3 3 2 3 2 3 3 2 3 1 lim 2 7 9 2 7 9 3 9 x x x x x x x x + + = = = - + - + 30) 2 2 2 1 1 3 3 3 1 3 lim 3 1 1 1 x x x x x x x x x x x - + - - + = = = = - - + + - - - 64) ( 29 3 3 0 3 2 2 3 3,0 0, 2 3 3 3 6 2 3 2 5 1 2 x x y x x x intercepts x y no symmetry x Horizontal Asymtote Vertical Asymtote - - = = = - -
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