Explanation Given Information: The expression is ( − 5 x 4 y − 5 z − 3 ) 4 . Formula used: For non-zero real numbers a and b and any integers m and n , ( a n ) m = a m n For non-zero real numbers a and b and any integers m and n , ( a b ) m = a m b m For an expression a − n , a is any real number called a base and n is an integer called the exponent. It is the product of n factors written as, a − n = 1 a n = 1 a ⋅ a ⋅ a ⋅ ... ⋅ a ( n times ) Calculation: Consider the expression, ( − 5 x 4 y − 5 z − 3 ) 4 Use the formula ( a b ) m = a m b m , to get; ( − 5 x 4 y − 5 z − 3 ) 4 = ( − 5 ) 4 ⋅ ( x 4 ) 4 ⋅ ( y − 5 ) 4 ⋅ ( z − 3 ) 4 </

Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)

11th Edition

ISBN: 9780133795561

Author: Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent

Publisher: PEARSON

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Chapter A, Problem 60E

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To calculate: Thesimplified form of (−5x4y−5z−3)4.

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Chapter A, Problem 59E

Chapter A, Problem 61E

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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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Chapter A Solutions

Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)

Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Prob. 5E Ch. A - Prob. 6E Ch. A - Prob. 7E Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...

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Thesimplified form of ( − 5 x 4 y − 5 z − 3 ) 4 .

Solution Summary: The author explains how to calculate the simplified form of (-5x4y5z-3).