Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 11.5, Problem 21PS
To determine
To find
Where,
And,
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2 Suppose that A = 3xyz² + 2xy³jr²yzk and = 3x² - yz. Find, at the point
¢
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2.3 A. Vo,
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2.5 V. (Vo),
2.6 Directional derivative of in the direction of A,
(0)
2.7 V × Ā,
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* OMANTEL l.
moodle1.du.edu.om
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O A. –12
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II
Az = Bxm + Cy" – Dx – Ey+14 where x, y, and z are measured in meter. If you
are standing at location (10, 30, 40), by performing second derivatives test, identify
A, B, C, D, E, m and n such that (10, 30, 40) is
i.
local max.
ii.
local min.
ii.
saddle points.
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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- Find derivatives of the functions defined as follows. y=3e2x2arrow_forward1. = Find the directional derivative of f(x, y, z) = in the direction from P to Q(-1,4, 2). NOTE: Enter the exact answer. 2. Duf Find Duf at P. 3. NOTE: Enter the exact answer. Duf = f(x, y) = sin(8x - 2y); P(2,8); u= Duf . ㅠ f(x, y) = 3√xy; P(2,8); 0 = 3 NOTE: Enter the exact answer. 4y x + z = at P(2, 2, -1) Find the directional derivative of f at P in the direction of a vector making the counterclockwise angle with the positive x-axis. i I 4arrow_forward4. What is the direction in which the function f(x, y) = yx² - decreases most rapidly at the point (-2, 1)? a. -5i b. 3i + 2j с. d. 5iarrow_forward
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