Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 13 - Functions of Several Variables - 13.1 Exercises - Page 876: 7

Answer

The solutions are: a) $f(3,2) = 6.$ b) $f(-1,4) -4.$ c) $f(30,5)= 150.$ d) $f(5,y) = 5y.$ e) $f(x,2)=2x.$ f) $f(5,t)=5t.$

Work Step by Step

All we need to do here is substitute the value of the first coordinate of a given point for $x$ and the value of the second coordinate of a given point for $y$ into the expression $f(x,y)=xy.$ a) $f(3,2) = 3\times 2 = 6.$ b) $f(-1,4) = -1\times4=-4.$ c) $f(30,5)=30\times 5 = 150.$ d) $f(5,y) = 5\times y = 5y.$ e) $f(x,2)=x\times2=2x.$ f) $f(5,t)=5\times t=5t.$
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