Pre-Calc Homework Solutions 197

Pre-Calc Homework Solutions 197 - Chapter 4 Review 2701.73...

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

View Full Document Right Arrow Icon
41. (a) Regression equation y 5 } 1 1 2 1 7 7 0 .2 1 8 .7 e 3 2 0.36 x } [0, 20] by [ 2 300, 2800] (b) Note that y 95 } d d x } 2701.73(1 1 17.28 e 2 0.36 x ) 2 1 52 2701.73(1 1 17.28 e 2 0.36 x ) 2 2 (17.28)( 2 0.36 e 2 0.36 x ) < The graph of y 9 is shown below. [0, 20] by [ 2 75, 275] Using graphing techniques, y 9 has its maximum at x < 7.92. This corresponds to the year 1998 and represents the inflection point of the logistic curve. The logistic regression equation predicts that the rate of increase in debit card transactions will begin to decrease in 1998, and since y (7.92) < 1351, there are approximately 1351 million transactions that year. (c) As x increases, the value of y will increase toward 2701.73. The logistic regression equation predicts a ceiling of approximately 2702 million transactions per year. 42. f ( x ) 5 2 cos x 2 ˇ 1 w 1 w x w f 9 ( x ) 52 2 sin x 2 } 2 ˇ 1 w 1 1 w x w } x n 1 1 5 x n 2 } f f 9 ( ( x x n n ) ) } 5 x n 2 The graph of y 5 f ( x ) shows that f
Background image of page 1
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