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Pre-Calc Homework Solutions 191

# Pre-Calc Homework Solutions 191 - Chapter 4 Review y 9 sin...

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y 0 5 2 9 sin 3 x 2 16 cos 4 x Using graphing techniques, the zeros of y 0 in the domain 0 # x # 2 p are x < 0.542, x < 1.266, x < 1.876, x < 2.600, x < 3.425, x < 4.281, x < 5.144 and x < 6.000. Graphical support: 3 2 } p 4 } , } 9 4 p } 4 by [ 2 2.5, 2.5] (a) Approximately [0, 0.176], 3 0.994, } p 2 } 4 , [2.148, 2.965], 3 3.834, } 3 2 p } 4 , and 3 5.591, 2 p 4 (b) Approximately [0.176, 0.994], 3 } p 2 } , 2.148 4 , [2.965, 3.834], and 3 } 3 2 p } , 5.591 4 (c) Approximately (0.542, 1.266), (1.876, 2.600), (3.425, 4.281), and (5.144, 6.000) (d) Approximately (0, 0.542), (1.266, 1.876), (2.600, 3.425), (4.281, 5.144), and (6.000, 2 p ) (e) Local maxima at < (0.176, 1.266), 1 } p 2 } , 0 2 and (2.965, 1.266), 1 } 3 2 p } , 2 2 , and (2 p ,1); local minima at < (0, 1), (0.994, 2 0.513), (2.148, 2 0.513), (3.834, 2 1.806), and (5.591, 2 1.806) Note that the local extrema at
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