Ch 2 Review Sheet Answers_2011

Ch 2 Review Sheet Answers_2011 - 8 zero x =-6 x =-4 x = 3...

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Ch 2 Review Sheet Answers P(x) = 52 . 10839 84 . 135 51 . 0 82 . 8 ) 10 6 ( 2 3 4 7 - + - + - - x x x x X 1 a) P(x) = -0.041x 2 + 28.974x – 2112 million, where P(x) is the profit of a certain airline in millions of dollars, x is the ticket price for an airplane ticket in dollars, 200 < x < 450. b) $880 million c) $ -3.50 million for each $1 change in ticket price d) -1.75% e) If the ticket prices increase from $300 to $400, then the profits should expect to drop by approximately 1.75%. 2. $12680.75 3. t = hours ) 95 . 0 ln( ) 5 . 0 ln( t ≈ 13.51 hours 4. Statement 5. $121931.89 6. t = years ) 000919231 . 1 ln( 52 ) 4 ln( t ≈ 29.02 years 7. x = a: negative x = b: zero x = c: zero x = d: zero (a, b) decreasing at an increasing rate. (b, c) increasing at an increasing rate, then increasing at a decreasing rate. (c, d) decreasing at a decreasing rate, then decreasing at an increasing rate.
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Unformatted text preview: 8. zero: x = -6 x = -4 x = 3 undefined: x = -2 x = 1 x = 6 9a) 16 units of output per unit input b) 104.88% per unit input c) Percent rate of change d) -4.25 e) Instantaneous R.O.C. 10. a) At 2pm, the number of bees is 579620. b) At 2pm, the bees are decreasing at a rate of 23 bees per hour. 11. a) In 2003, the gross sales for Wendy’s Inc. was $421.88 billion. b) In 2003, the sales increased at a rate of $104.34 billion per year. c) 24.73% d) The sales are increasing at a rate of 24.73% per year. 12. a) ( 29 8 10-= ′ x x f b) - 18 c) The slope of the tangent line (I.R.O.C.) to f(x) at (-1, 15) is -18. 13. [-3] U [0, 4] 14. [-2, 0) U (1, 3] 15a) 37 b) 32 1-c) - 3 d) 0 e) 4 3 f) dne (infinity) g) 0 h) dne(infinity)...
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