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: 3

Answer

a) $g(3,1)=9\ln 4$ b) Domain: $\{(x,y)|x+y>0\}$ See graph in image c) Range: negative infinity to positive infinity.

Work Step by Step

a) $g(3,1)=3^2\ln(3+1)=9\ln 4$ b) Domain: $\{(x,y)|x+y>0\}$ See graph in image c) The range of $x^2$ is greater than or equal to 0 but because it is multiplied by the logarithmic function, it is all values from negative infinity to positive infinity.
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