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Unformatted text preview: 12 Section 1.2
(d) Since ( f g)(x) f ( x) x , f(x) x 2. The completed table is shown. Note that the absolute value sign in part (d) is optional. g(x)
1 2 x 60. continued (b)
2 1 y f (x) x 5
1 x 1 x ( f g)(x) x2 x, x x, x x, x 0 0 5 1 2 1 x2
1 x 1 1 x 1 2 61. (a)
1.3 y x x2 2 1 1 2 x 64. (a) Note that the data in the table begins at x 20. (We do not include the initial investment in the data.) The power regression equation is y 27.1094x 2.651044. (b) 1.3 (b)
1.3 y [0, 30] by [ 20,000, 180,000] (c) When x 30, y 223,374. According to the power regression equation, the investment will grow to approximately $223,374. (d) The linear regression equation is y 12,577.97x 177,275.52. When x 30, y 200,064. According to the linear regression equation, the investment will grow to approximately $200,064. 65. (a) Because the circumference of the original circle was 8 and a piece of length x was removed. (b) r
8 2 x 2 1 1 2 x 1.3 62. (a)
1.3 y 4 x 2 2 0 2 x (c) h
1.3 16 16 r2 4 16
x2 4 2 x2 4 2 x2 x 2 2 4x x2 4 2 (b)
1.3 y 16
4x 16 x 4 2 16 x 2 2 0 2 x 1.3 63. (a) Since ( f g)(x) (b) Since ( f g)(x) 1 g(x) 5 x2 5, g(x) x 2. (d) V 1 x, we know that g(x) 1 1 x 1, so g(x) . g(x) x 1 1 1 (c) Since ( f g)(x) f x, f (x) . x x 1 2 r h 3 1 8 x 2 16 x 3 2 2 (8 x)2 16 x x 2 24 2 x2 ...
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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.
 Spring '08
 GERMAN

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