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Brief Calculus Review Sheet Ch 3 Answers

# Brief Calculus Review Sheet Ch 3 Answers - x x P 2 2 1 2 2...

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MAT 212 Brief Calculus Review Sheet Ch 3 Answers 1. ( 29 0 = x f 2. ( 29 x f = 9 14 15 2 - - x x 3. ( 29 x f = 5 4 36 x 4. ( 29 7 120 x x f - = 5. ( 29 ( 29 ( 29 3 2 6 5 3 2 6 5 13 20 40 13 20 40 - - = - x x or x x x f 6. ( 29 2 3 2 1 2 1 2 3 10 5 12 2 5 - - + + - = x x x x x f 7. ( 29 2 30 60 x xe x f = 8. ( 29 x x f 10 20 ) 20 ln( 10 = 9. ( 29 8 2 2 2 2 + - - = x x x x f 10. ( 29 ( 29 30 12 ) 8 ln( 24 2 - = x x x f 11. ( 29 ( 29 9 2 20 9 180 - = x x x f 12. ( 29 ( 29 2 3 18 3 + = x xe x f x 13. ( 29 ( 29 2 2 3 4 27 12 2 + + + = x x x x f 14. ( 29 ( 29 5 2 3 1 2 ] 1 6 6 4 [ 10 + + - - - = x x x x x f 15. ( 29 51 80 + = x x f 16. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 4 5 3 1 2 12 5 3 4 1 2 12 5 5 5 5 + + + + + + = - x x x or x x x x f 17. Use logarithmic differentiation: ( 29 ( 29 ( 29 ( 29 ( 29 - - + - + + + - + + + = 1 8 40 5 3 1 4 36 5 3 21 1 8 5 1 4 5 3 5 3 9 7 x x x x x x x x x f 18. Part A: 1) ( 29 sold unit per dollars thousand x x R 12 30 + = B) ≈ \$12,320 per unit sold Part B: 1) ( 29 made calculator per dollar x x C 80 40 + = B) \$1280 per calculator made Part C: 1) ( 29 ( 29 made video per

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Unformatted text preview: x x P 2 2 1 2 2 2 + + = ′ B) \$0.50 per video made 19. a) Average velocity = ( 29 ( 29 sec / 96 2 4 2 4 ft S S time nt displaceme-=--= ∆ ∆ b) ( 29 sec / 160 ) 5 ( 5 ft v S-= = ′ 20. Interpretation: Eight hours later the number of bacteria was increasing at a rate of 71 . 19 7 138 ≈ million bacteria per hour. L’Hopitals Problems 21. a) 37 b) 1/32 c) -3 d) 0 e) ¾ f) dne ( ∞ ) g) 0 h) dne ( ∞ ) i) 0 j) 48...
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Brief Calculus Review Sheet Ch 3 Answers - x x P 2 2 1 2 2...

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