Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13, Problem 30PE
To determine
To find:the work done as an object moves in the force field.
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3. Suppose temperature °F in a region of 3-space, measured in meters, is
given by
T =
100
1+ (x − 3)² + y² + (z + 2)²
and a bug is a point (2, 1,-1). (a) What direction should the bug fly
when attracted to heat? (b) Find the components of a vector that starts
at (2, 1, -1) and ends at (3, 0, -2). Is this in the same direction as the
previous answer? Physically, why fly towards (3,0,-2)? (c) What is the
rate of change of temperature at (2, 1, -1) when flying towards the heat?
(decimal answer and include units) (d) What direction is the most rapid
decrease in temperature?
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Chapter 13 Solutions
Calculus
Ch. 13.1 - Prob. 1PSCh. 13.1 - Prob. 2PSCh. 13.1 - Prob. 3PSCh. 13.1 - Prob. 4PSCh. 13.1 - Prob. 5PSCh. 13.1 - Prob. 6PSCh. 13.1 - Prob. 7PSCh. 13.1 - Prob. 8PSCh. 13.1 - Prob. 9PSCh. 13.1 - Prob. 10PS
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