13. Find the torque produced by a cyclist exerting a force of F = [45, 90, 130]N on the shaft- pedal d = [12, 17, 14] cm long. a) (-950, 930, -315) b) 3890 c) 19874 14. Given a = [3,−1,4]& c = [−2, 6, t], find t so that a and c are perpendicular. a) 4 b) -3 c) -4 d) 1866625 d) 3 15. Given = [-12, 6, k]&v = [4,-2, 4], find k so that u and v are parallel. a) 4 b) -3 c) 6 d) -12 16. An object moves along a straight line in such a way that its position is s(t) = −5t³ + 17t², in which t represents the time in seconds. What is the object's acceleration at 2.7 seconds? a) -47 b) -17.55 17. Find the unit vector of a = [-3, -7,4]. c) 17 d) -81 a) -3, -7,4] b) -3,-7,4] 4 d) [√74 74 √] 18. Derive y = -2(3-7) a) -21n3(3-7x) b) -14ln7(3-7x) c) 7ln2(3-7x) d) 14ln3(3-7x) 35. Draw a = 31+ 2ĵ + 5k. Must Include the Rectangular Prism used to draw 3D vectors. [ 36. Label the following functions as f(x), f'(x), f"(x) and f ""(x). BONUS: 1. Find the anti derivative of: 3x²+4x+12

13. Find the torque produced by a cyclist exerting a force of F = [45, 90, 130]N on the shaft- pedal d = [12, 17, 14] cm long. a) (-950, 930, -315) b) 3890 c) 19874 14. Given a = [3,−1,4]& c = [−2, 6, t], find t so that a and c are perpendicular. a) 4 b) -3 c) -4 d) 1866625 d) 3 15. Given = [-12, 6, k]&v = [4,-2, 4], find k so that u and v are parallel. a) 4 b) -3 c) 6 d) -12 16. An object moves along a straight line in such a way that its position is s(t) = −5t³ + 17t², in which t represents the time in seconds. What is the object's acceleration at 2.7 seconds? a) -47 b) -17.55 17. Find the unit vector of a = [-3, -7,4]. c) 17 d) -81 a) -3, -7,4] b) -3,-7,4] 4 d) [√74 74 √] 18. Derive y = -2(3-7) a) -21n3(3-7x) b) -14ln7(3-7x) c) 7ln2(3-7x) d) 14ln3(3-7x) 35. Draw a = 31+ 2ĵ + 5k. Must Include the Rectangular Prism used to draw 3D vectors. [ 36. Label the following functions as f(x), f'(x), f"(x) and f ""(x). BONUS: 1. Find the anti derivative of: 3x²+4x+12

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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