HW 9 Solutions

HW 9 Solutions - Introduction to Functions Homework...

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Introduction to Functions Homework Solutions STOR 112 1.1.18 Given h ( r ) = 1 r +4 a. h (0) = 1 0+4 = 1 / 4 b. h ( - 3) = 1 - 3+4 = 1 / 1 = 1 c. h ( - 5) = 1 - 5+4 = 1 / ( - 1) = - 1 d. h ( x 2 ) = 1 x 2 +4 e. h ( x 2 + 1) = 1 x 2 +1+4 = 1 x 2 +5 f. h ( x 2 ) + 1 = 1 x 2 +4 + 1 1.1.42 a. P (3) = 3 . 4 (3.4 million gallons per day produced in 2003), P (4) = 3 . 4 (3.4 million produced per day in 2004). We estimate P (6) = 3 . 3 (3.3 million produced per day in 2006). b. The domain of P is [1,6]. c. From the grpah we can estimate P (1 . 5) = 3 . 15. P (1 . 5) is the amount of oil produced in the year ending June 30, 2002. Thus Pemex produced 3.15 million gallons/day in the year ending June 30, 2002. 1.1.48 a. An appopriate domain of A is t where 0 t 20. t 20 is not enough because that would allow negative values of t .

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b. A (10) = - 0 . 01(10) 2 + 0 . 24(10) + 3 . 4 = 4 . 8, which means that an estimate of the number of articles in Physics Review in 1993 is 480. 1.1.52(a,b)
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HW 9 Solutions - Introduction to Functions Homework...

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