Pre-Calc Homework Solutions 151

Pre-Calc Homework Solutions 151 - Section 4.3 30. y (x...

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

View Full Document Right Arrow Icon
30. y 95 ( x 2 1) 2 ( x 2 2)( x 2 4) y 05 } d d x } [( x 2 1) 2 ( x 2 2 6 x 1 8)] 5 ( x 2 1) 2 (2 x 2 6) 1 ( x 2 2 6 x 1 8)(2)( x 2 1) 5 ( x 2 1)[( x 2 1)(2 x 2 6) 1 2( x 2 2 6 x 1 8)] 5 ( x 2 1)(4 x 2 2 20 x 1 22) 5 2( x 2 1)(2 x 2 2 10 x 1 11) Note that the zeros of y 0 are x 5 1 and x 55 } 10 6 4 ˇ 1 w 2 w }5 } 5 6 2 ˇ 3 w } < 1.63 or 3.37. The zeros of y 0 can also be found graphically, as shown. [ 2 3, 7] by [ 2 8, 4] (a) Local maximum at x 5 2 (b) Local minimum at x 5 4 (c) Points of inflection at x 5 1, at x < 1.63, and at x < 3.37. 31. 32. y x y = f ( x ) y = f ( x ) y = f ′′ ( x ) P 0 y x y = f ( x ) y = f ( x ) y = f ′′ ( x ) P 10 6 ˇ 1 w 0 w 2 w 2 w 4 w (2 w )( w 1 w 1 w ) w
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online