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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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F633dc666-1c4e-4222-82a0-1d910c7662c5%2Fc7c95685-4019-4d22-af1f-de3be923b6f8%2Fq9ebavp_processed.png&w=3840&q=75)
Transcribed Image Text: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)
Transcribed Image Text: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
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