Explanation Consider the given statement: If f ( x , y ) = 3 x 2 + 2 x y + y 2 , then f ( x + h , y ) = 3 ( x + h ) 2 + 2 x y + h + y 2 The given statement is false. If f ( x , y ) = 3 x 2 + 2 x y + y 2 , Replace x with x + h :

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

2nd Edition

ISBN: 9780137553457

Author: Raymond Greenwell, Nathan Ritchey

Publisher: PEARSON+

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 9.CR, Problem 5CR

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The given statement is true or not and give the reason.

Statement: “If f(x,y)=3x2+2xy+y2, then f(x+h,y)=3(x+h)2+2xy+h+y2”.

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Chapter 9.CR, Problem 4CR

Chapter 9.CR, Problem 6CR

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Chapter 9 Solutions

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

Ch. 9.1 - YOUR TURN For the function in Example 1, find...Ch. 9.1 - Prob. 2YT Ch. 9.1 - Prob. 3YT Ch. 9.1 - EXERCISES Let f(x,y)=2x3y+5.Find the following. a....Ch. 9.1 - Prob. 2E Ch. 9.1 - EXERCISES Let h(x,y)=x2+2y2. Find the following....Ch. 9.1 - EXERCISES Let f(x,y)=9x+5ylogx. Find the...Ch. 9.1 - EXERCISES Let f(x,y)=ex+ln(x+y). Find the...Ch. 9.1 - EXERCISES Let f(x,y)=xex+y. Find the following. a....Ch. 9.1 - EXERCISES Let f(x,y)=xsin(x2y). Find the...

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The given statement is true or not and give the reason. Statement: “If f ( x , y ) = 3 x 2 + 2 x y + y 2 , then f ( x + h , y ) = 3 ( x + h ) 2 + 2 x y + h + y 2 ”.

Solution Summary: The author evaluates whether the given statement is true or not and gives the reason.

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The given statement is true or not and give the reason.

Statement: “If f(x,y)=3x2+2xy+y2, then f(x+h,y)=3(x+h)2+2xy+h+y2”.

Want to see the full answer?

Chapter 9 Solutions

The given statement is true or not and give the reason. Statement: “If f ( x , y ) = 3 x 2 + 2 x y + y 2 , then f ( x + h , y ) = 3 ( x + h ) 2 + 2 x y + h + y 2 ”.

Solution Summary: The author evaluates whether the given statement is true or not and gives the reason.

Concept explainers

Videos

The given statement is true or not and give the reason. Statement: “If f(x,y)=3x2+2xy+y2, then f(x+h,y)=3(x+h)2+2xy+h+y2”.

Want to see the full answer?

Chapter 9 Solutions

The given statement is true or not and give the reason.

Statement: “If f(x,y)=3x2+2xy+y2, then f(x+h,y)=3(x+h)2+2xy+h+y2”.