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MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 27 Do not use a calculator on this portion. 0. 1. 2. 3. 4.

BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

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Page 1: BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

MULTIPLECHOICEPRACTICE ASSIGNMENT#11

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Do not use a calculator on this portion. 0. 1. 2. 3. 4.

Page 2: BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

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5.

6. 7. 8.

Page 3: BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

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9.

1 16 120

1(E) − +

10.11.

Page 4: BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

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12.

13. 14. 15. 16. 17. 18.

Page 5: BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

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A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent to the graph of xy x−= at x = 0.368 is closest to the integer (A) -6 (B) -1 (C) 0 (D) 1 (E) 624.

Page 6: BC Assignment #11 - WordPress.com · MULTIPLE CHOICE PRACTICE ASSIGNMENT #11 31 A calculator is allowed for the remaining questions. 19. 20. 21. 22. 23. The slope of the line tangent

MULTIPLECHOICEPRACTICE ASSIGNMENT#11

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25. 26.

27. Let ( )2

0sin

xF x t dt= ∫ . What is the value of ( )1 ?Fʹ

(A) 0.000 (B) 1.132 (C) 1.264 (D) 0.917 (E) 1.835 28. 29. A particle moves along a straight line so that at time 0t ≥ the position of the particle is given by

( ) 3 21.2 1.1 5.6.x t t t t= + − + What is the position of the particle when its velocity is zero.

(A) 0.0 (B) 0.3 (C) 5.4 (D) 5.6 (E) 6.5

30. The Mean Value Theorem guarantees a special point on the graph of y x= between x = 1 and x = 2000. The x-coordinate of this point is closest to which of the following integers? (A) 22 (B) 30 (C) 500 (D) 516 (E) 523

31. Let f be the function given by ( ) 2 2 3.f x x x= − + The tangent line to the graph of f at x = 2 is

used to approximate values of ( )f x . Which of the following is the greatest value of x for which

the error resulting from this tangent line approximation is less than 0.5?

(A) 2.4 (B) 2.5 (C) 2.6 (D) 2.7 (E) 2.8