Explanation Given information: The integral is given as ∫ 1 3 υ ( t ) d t . Concept used: ∫ 1 3 ν ( t ) d t = ∫ 1 3 s ' ( t ) d t Calculation: The integral is given as ∫ 1 3 ν ( t ) d t . Since ν ( t ) = s ' ( t ) , where s ( t ) is position in meter at time t sec

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 5.4, Problem 1P

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To find the significance and units of ∫13υ(t)dt, where υ(t) is velocity in meters/sec and t is time in seconds.

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Chapter 5.3, Problem 40P

Chapter 5.4, Problem 2P

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

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APPLIED CALCULUS-PRINT COMPANION (LL)

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To find the significance and units of ∫ 1 3 υ ( t ) d t , where υ ( t ) is velocity in meters/sec and t is time in seconds.

Solution Summary: The author calculates the significance and units of the integral displaystyle 'int' - s(t)dt.

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To find the significance and units of ∫13υ(t)dt, where υ(t) is velocity in meters/sec and t is time in seconds.

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Chapter 5 Solutions