Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 13 - Partial Derivatives - 13.1 Functions Of Two Or More Variables - Exercises Set 13.1 - Page 916: 49

Answer

(a) A (b) B (c) Increase (d) Decrease (e) Increase (f) Decrease

Work Step by Step

(a) A, because A is at a higher feet above B (b) B, because a line drawn at B to find the slope will be much closer to the $y-axis$ than to the $x-axis$ compared to A (c) It will increase because the elevation directly depends on $x$, since increasing values of $x$ causes increasing elevation from the graph (d) It will decrease since since the elavation directly depends on the value of $x$, hence decreasing value of $x$ will produce a decrease in elevation as in the diagram (e) This will also cause the elevation to increase because the elevation directly depends on $y$, hence an increase in the value of $y$ causes increases elevation from the graph (f) This will cause the elevation to decrease because the elevation directly depends on $y$, hence an decrease in the value of $y$ causes decreases elevation from the graph
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