Pre-Calc Homework Solutions 189

# Pre-Calc Homework Solutions 189 - Chapter 4 Review 10 This...

This preview shows page 1. Sign up to view the full content.

10. This problem can be solved graphically by using NDER to obtain the graphs shown below. y y 9 y 0 [ 2 4, 4] by [ 2 1, 0.3] [ 2 4, 4] by [ 2 0.4, 0.6] [ 2 4, 4] by [ 2 0.7, 0.8] An alternative approach using a combination of algebraic and graphical techniques follows. Note that the denominator of y is always positive because it is equivalent to ( x 1 1) 2 1 2. y 95 5 y 05 5 5 } 2 ( x x 3 2 2 1 1 2 8 x x 1 2 3 1 ) 3 2 } Using graphing techniques, the zeros of 2 x 3 2 18 x 2 12 (and hence of y 0 ) are at x < 2 2.584, x < 2 0.706, and x < 3.290. (a) [ 2 ˇ 3 w , ˇ 3 w ] (b) ( 2‘ , 2 ˇ 3 w ] and [ ˇ 3 w , ) (c) Approximately ( 2 2.584, 2 0.706) and (3.290, ) (d) Approximately ( 2‘ , 2 2.584) and ( 2 0.706, 3.290) (e) Local maximum at 1 ˇ 3 w , } ˇ 3 w 4 2 1 } 2 < (1.732, 0.183); local minimum at 1 2 ˇ 3 w , } 2 ˇ 3 w 4 2 1 } 2 < ( 2 1.732, 2 0.683) (f) < ( 2 2.584, 2 0.573), ( 2 0.706, 2 0.338), and
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online