Explanation Given: The given function is y = 2 x 5 + 5 x 2 . Calculation: Given:the given interval is [ − 2 , 2 ] . Use sum rule . ( f + g ) ' = f ' + g ' y = 2 x 5 + 5 x 2 y ' = d d x ( 2 x 5 ) + d d x ( 5 x 2 ) = 10 x 4 + 10 x For critical point y ' = 0 . 10 x 4 + 10 x = 0 ⇒ 10 x ( x 3 + 1 ) = 0 ⇒ 10 x = 0 and x 3 + 1 = 0 ⇒ x = 0 and x = − 1 3 ⇒ x = 0 ⇒ ( x − 7 ) ( x − 1 ) = 0 ⇒ x − 7 = 0 and x

4th Edition

ISBN: 9781319279813

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 38E

To determine

Find theminimum and maximum values of the given functionin the given interval by comparing with critical and end points.

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Chapter 4.2, Problem 37E

Chapter 4.2, Problem 39E

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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.

Chapter 4 Solutions

CALCULUS:EARLY TRANS.-SAPLINGPLUS

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Find theminimum and maximum values of the given functionin the given interval by comparing with critical and end points.

Solution Summary: The author calculates the minimum and maximum values of the given function by comparing with critical and end points.

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Find theminimum and maximum values of the given functionin the given interval by comparing with critical and end points.

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Chapter 4 Solutions