Pre-Calc Homework Solutions 190

Pre-Calc Homework Solutions 190 - 190 Chapter 4 Review d 1...

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11. For x . 0, y 95 } d d x } ln x 5 } 1 x } For x , 0: y d d x } ln ( 2 x ) 5 } 2 1 x } ( 2 1) 5 } 1 x } Thus y 1 x } for all x in the domain. y 052 x 2 2 The second derivative is always negative, so the function is concave down on each open interval of its domain. Graphical support: [ 2 2.35, 2.35] by [ 2 3, 1.5] (a) (0, 2] (b) [ 2 2, 0) (c) None (d) ( 2 2, 0) and (0, 2) (e) Local (and absolute) maxima at ( 2 2, ln 2) and (2, ln 2) (f) None 12. y 95 3 cos 3 x 2 4 sin 4 x Using graphing techniques, the zeros of y 9 in the domain 0 # x # 2 p are x < 0.176, x < 0.994, x 5 } p 2 } < 1.57, x < 2.148, and x < 2.965, x < 3.834, x 5 } 3 2 p } , x < 5.591 190 Chapter 4 Review
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