Explanation Consider the given function as g ( y , z ) = 3 y 3 − y 2 z + 5 z 2 . Substitute the values y = 3 z 2 , z = z in the function and obtain the value g ( 3 z 2 , z ) as follows. g ( 3 z 2 , z ) = 3 ( 3 z 2 ) 3 − ( 3 z 2 ) 2 z + 5 z 2 = 3 ( 27 z 6 ) − ( 9 z 4 ) z + 5 z 2 = 81 z 6 − 9 z 5 + 5 z 2 Substitute the values y = z , z = z in the function and obtain the value g ( z , z ) as follows

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

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Author: Allyn Washington, Richard Evans

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Chapter 29.1, Problem 23E

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The value of the expression g(3z2,z)−g(z,z).

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Chapter 29.1, Problem 22E

Chapter 29.1, Problem 24E

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Chapter 29 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 29.1 - Practice Exercise If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1E Ch. 29.1 - Prob. 2E Ch. 29.1 - Prob. 3E Ch. 29.1 - Prob. 4E Ch. 29.1 - Prob. 5E Ch. 29.1 - Prob. 6E Ch. 29.1 - Prob. 7E Ch. 29.1 - Prob. 8E Ch. 29.1 - Prob. 9E

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The value of the expression g ( 3 z 2 , z ) − g ( z , z ) .

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Chapter 29 Solutions