Pre-Calc Homework Solutions 69

Pre-Calc Homework Solutions 69 - Section 3.1 (b) Year of Q...

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(b) Year of Q Slope of PQ 1995 } 2 2 0 0 0 . 0 1 2 2 1 2 9 .7 95 }5 3.48 1996 } 2 2 0 0 0 . 0 1 2 2 1 4 9 .8 96 }5 3.825 1997 } 2 2 0 0 0 . 0 1 2 2 1 7 9 .8 97 }5 4.1 1998 } 2 2 0 0 0 .1 0 2 2 1 1 1 9 . 9 2 8 }5 4.45 1999 } 2 2 0 0 0 .1 0 2 2 1 1 5 9 . 9 2 9 }5 4.9 ( c) Approximately 5 billion dollars per year. ( d) y 5 0.3214 x 2 2 1.3471 x 1 1.3857 lim h 0 } y (10 1 h h ) 2 y (10) } 5 lim h 0 5 lim h 0 5 0.3214(20) 2 1.3471 < 5.081 The predicted rate of change in 2000 is about 5.081 billion dollars per year. Chapter 3 Derivatives Section 3.1 Derivative of a Function (pp. 95–104) Exploration 1 Reading the Graphs 1. The graph in Figure 3.3b represents the rate of change of the depth of the water in the puddle with respect to time. Since y is measured in inches and x is measured in days, the derivative } d d y x } would be measured in inches per day. Those are the units that should be used along the y -axis in Figure 3.3b. 2.
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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.

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