Pre-Calc Homework Solutions 64

Pre-Calc Homework Solutions 64 - The years 1995–97 seem...

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33. continued (d) } y (5 5 ) 2 2 y 3 (3) } < 0.31 } y (7 7 ) 2 2 y 5 (5) } < 0.53 According to the regression equation, the rates were 0.31 billion dollars per year and 0.53 billion dollars per year. (e) lim h 0 } y (7 1 h h ) 2 y (7) } 5 lim h 0 5 lim h 0 5 lim h 0 [0.0571(14) 2 0.1514 1 0.0571 h ] < 0.65 The funding was growing at a rate of about 0.65 billion dollars per year. 34. (a) [7, 18] by [0, 900] (b) Q from year Slope 1988 } 4 1 4 7 0 2 2 22 8 5 } < 23.9 1989 } 44 1 0 7 2 2 2 9 89 } < 18.9 1990 } 44 1 0 7 2 2 2 1 7 0 0 } < 24.3 1991 } 44 1 0 7 2 2 4 1 9 1 3 } < 2 8.8 1992 } 44 1 0 7 2 2 6 1 8 2 4 } 5 2 48.8 1993 } 44 1 0 7 2 2 7 1 6 3 3 } < 2 80.8 1994 } 44 1 0 7 2 2 6 1 5 4 1 } < 2 70.3 1995 } 44 1 0 7 2 2 6 1 0 5 0 } 5 2 80.0 1996 } 44 1 0 7 2 2 2 1 9 6 6 } 5 144.0 (c) As Q gets closer to 1997, the slopes do not seem to be approaching a limit value.
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Unformatted text preview: The years 1995–97 seem to be very unusual and unpredictable. 35. (a) } f (1 1 h h ) 2 f (1) }5 } e 1 1 h h 2 e } (b) [ 2 4, 4] by [ 2 1, 5] Limit < 2.718 (c) They’re about the same. (d) Yes, it has a tangent whose slope is about e . 0.0571(14 h 1 h 2 ) 2 0.1514 h }}} h [0.0571(7 1 h ) 2 2 0.1514(7 1 h ) 1 1.3943] 2 [0.0571(7) 2 2 0.1514(7) 1 13943] }}}}}}}}} h 64 Section 2.4...
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