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MATH_REV_PART2_ECO220_SOLN

# MATH_REV_PART2_ECO220_SOLN - (c b and be(d e and e 2(e 2...

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Math Review for ECO220Y: PART 2 of 2–Answers 1 Functions 2 Power Functions 1. x = 2 2. x = 4 and x = 0 3. x = 10 and x = 20 4. x = 3 and x = 4 5. x = -1 6. x = 1/2 and x = 1/3 7. x = 0.5307 and x = -1.1307 8. no real number solution exists 9. (a) 3275 (b) 864.19 (c) 1301 (d) 1229 (e) When the mean is used. Explanation required. 1. (a) no (b) no (c) yes, third degree 2. (a) 3 (b) a 0 = 23 . 1 ,a 1 = 2 . 4 ,a 2 = 5 . 9 ,a 3 = - 6 . 2 3. (a) 5 (b) a 0 = 0 ,a 1 = 0 ,a 2 = 0 ,a 3 = - 8 ,a 4 = 2 ,a 5 = 1 1

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3 Derivatives: Basics 1. 0 2. 0 3. 0 4. 0 5. 0 6. (a) 1 (b) 1 (c) 1 (d) Because the slope of a straight line is constant 7. (a) b (b) b (c) b (d) b 8. (a) 0 (b) 2 (c) 4 (d) -2 (e) Because the slope of a parabola is NOT constant 9. (a) 0 (b) 0.75 (c) 3 10. (a) -16 (b) -2 11. (a) -4 (b) -1 12. (a) Does not exist 2
(b) 0.7071 (c) 0.5 1. (a) 5 (b) 0 (c) 0 (d) 2a + b 4 Exponential Functions 1. (a) 1 and 5.42 (b) 0 and 8.13

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Unformatted text preview: (c) b and be (d) e and e 2 (e) 2 and 3.718 5 Logarithmic Functions 1. 1 2. Requires using EXCEL 1. 148.41 2. 0.8991 3. 15.15 4. 0.834 5. True 6. False 7. False 8. True 9. True 3 6 Derivatives: The Chain Rule 1. f ( g ( x )) = ln ( x 2 ) 2. f ( g ( x )) = ( ln ( x )) 2 3. No. 4. f ( g ( x )) = e √ x 5. f ( g ( x )) = √ e x 1. 0.8660 2. 1 3. 5.44 4. 11.468 5. 25,920 6. -0.0625 7. -0.05556 1. (a) graph required (b) linear (c) -0.11, inelastic (d) -0.43, inelastic (e) -1, unit elastic (f) -2.33, elastic (g) Yes 2. (a) -0.5, inelastic (b) -0.5, inelastic (c) -0.5, inelastic (d) -0.5, inelastic (e) No 3. (a) -2, elastic 4 (b) -2, elastic (c) -2, elastic (d) -2, elastic (e) No 5...
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MATH_REV_PART2_ECO220_SOLN - (c b and be(d e and e 2(e 2...

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