Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13, Problem 97SP
To determine
To find : The centroid of the conical sirface
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Q/Sketch the Surface Z=V4-X+y-
and verify that Erg = Fxx
Parameterize the intersection of the plane x = 1 and the surface z = x2 - 2x2y + y2.
Your friends correctly calculate the gradient vector for f(x, y)=x+y° at the point (2,-3) as follows:
Vf(2,–3)=(2x, 2y ) =(4.-6)
%3D
(3.-4)
They say that (4,-6) is orthogonal to the surface at the point where x=2 and y=-3 (at the point (2,-3, 13)).
Unfortunately, they are incorrect, and you will help them.
(a) For f(x, y)=x² +y² ,what is (4,-6) orthogonal to when r=2 and y=-3? (Drawing a picture may help)
%3D
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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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