Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 14 - Section 14.1 - Functions of Several Variables - 14.1 Exercise - Page 946: 1

Answer

a) $f(1,3)=-\frac{3}{7}$ b) $f(-2,-1)=\frac{4}{5}$ c) $f(x+h,y)=\frac{(x+h)^2y}{2(x+h)-y^2}$ d) $f(x,x)=\frac{x^3}{2x-x^2}$

Work Step by Step

$f(x,y)=\frac{x^2y}{2x-y^2}$ a) $f(1,3)=\frac{1^2(3)}{2(1)-(3)^2}=-\frac{3}{7}$ b) $f(-2,-1)=\frac{(-2)^2(-1)}{2(-2)-(-1)^2}=\frac{4}{5}$ c) $f(x+h,y)=\frac{(x+h)^2y}{2(x+h)-y^2}$ d) $f(x,x)=\frac{x^2x}{2x-x^2}=\frac{x^3}{2x-x^2}$
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