Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 11.1, Problem 53PS
To determine
To graph :
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A particle started at A(1,0) circled the origin once an
d returned toA(1,0) .what were the change in its coordinates
Suppose that over a certain region of space the electrical potential V is given by the following
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V(x,v,z)= 5x2 – 2xy + xyz
In which direction does V change most rapidly at P(5, 2, 4)?
(24,10,10>
b. (54,4, – 8)
а.
c. (54,10,10>
d. (24,2,8)
e. (54,10, – 10>
Suppose that over a certain region of space the electrical potential V is given by the following
equation.
V(x,y,z) = x³ - xyz
In which direction does V change most rapidly at P(1, 1, 2)?
a. (2,-2,-1)
b. (4, -2,-1)
C.
(3,-2,-1)
d. (1, -2,-1)
e. (-1,2,1)
Chapter 11 Solutions
Calculus
Ch. 11.1 - Prob. 1PSCh. 11.1 - Prob. 2PSCh. 11.1 - Prob. 3PSCh. 11.1 - Prob. 4PSCh. 11.1 - Prob. 5PSCh. 11.1 - Prob. 6PSCh. 11.1 - Prob. 7PSCh. 11.1 - Prob. 8PSCh. 11.1 - Prob. 9PSCh. 11.1 - Prob. 10PS
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