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Pre-Calc Homework Solutions 143

# Pre-Calc Homework Solutions 143 - Section 4.3 2 5/3 x 9 143...

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y 0 5 } 2 9 } x 2 5/3 Graphical support: [ 2 8, 8] by [0, 10] (a) None (b) ( 2‘ , ) (c) (0, ) (d) ( 2‘ , 0) (e) None (f) (0, 5) 17. This problem can be solved using either graphical or analytic methods. For a graphical solution, use NDER to obtain the graphs shown. y y 9 y 0 [ 2 10, 20] by [0, 5] [ 2 10, 20] by [0, 0.3] [ 2 10, 20] by [ 2 0.02, 0.02] An analytic solution follows. y 9 5 5 5 } ( e x 1 3 e 3 1. e 8 0 x .8 x ) 2 } Since y 9 . 0 for all x , y is increasing for all x . y 0 5 5 5 5 Solve y 0 5 0: 3 2 e 0.2 x 5 0 0.2 x 5 ln 3 x 5 5 ln 3 0.6(3 2 e 0.2 x ) e 2.6 x }} ( e x 1 3 e 0.8 x ) 3 ( 2 0.6 e x 1 1.8 e 0.8 x ) e 1.8 x }}} ( e x 1 3 e 0.8 x ) 3 ( e x 1 3 e 0.8 x )(5.4 e 1.8 x ) 2 (6 e 1.8 x )( e x 1 2.4 e 0.8 x ) }}}}} ( e x 1 3 e 0.8 x ) 3 ( e x 1 3 e 0.8 x ) 2 (5.4 e 1.8 x ) 2 (3 e 1.8 x
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