Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 11.3, Problem 28PS
To determine
To find the values of
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7. Which of the following sets of functions is linearly dependent on R0,2?
(a) {6, z, sinz}
(b) {1, sinz, sin 2x}
(c) {cos 2r, sin² a, cos² z}
(d) {r, cos z}
_asap
2 Suppose that A = 3xyz² + 2xy³jr²yzk and = 3x² - yz. Find, at the point
¢
(1, −1, 1),
2.1 Vo,
2.2 V. A,
2.3 A. Vo,
2.4 V · (6Ã),
2.5 V. (Vo),
2.6 Directional derivative of in the direction of A,
(0)
2.7 V × Ā,
2.8 (Vo) x A,
2.9 V X (A).
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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Prob. 3PSCh. 11.6 - Prob. 4PSCh. 11.6 - Prob. 5PSCh. 11.6 - Prob. 6PSCh. 11.6 - Prob. 7PSCh. 11.6 - Prob. 8PSCh. 11.6 - Prob. 9PSCh. 11.6 - Prob. 10PSCh. 11.6 - Prob. 11PSCh. 11.6 - Prob. 12PSCh. 11.6 - Prob. 13PSCh. 11.6 - Prob. 14PSCh. 11.6 - Prob. 15PSCh. 11.6 - Prob. 16PSCh. 11.6 - Prob. 17PSCh. 11.6 - Prob. 18PSCh. 11.6 - Prob. 19PSCh. 11.6 - Prob. 20PSCh. 11.6 - Prob. 21PSCh. 11.6 - Prob. 22PSCh. 11.6 - Prob. 23PSCh. 11.6 - Prob. 24PSCh. 11.6 - Prob. 25PSCh. 11.6 - Prob. 26PSCh. 11.6 - Prob. 27PSCh. 11.6 - Prob. 28PSCh. 11.6 - Prob. 29PSCh. 11.6 - Prob. 30PSCh. 11.6 - Prob. 31PSCh. 11.6 - Prob. 32PSCh. 11.6 - Prob. 33PSCh. 11.6 - Prob. 34PSCh. 11.6 - Prob. 35PSCh. 11.6 - Prob. 36PSCh. 11.6 - Prob. 37PSCh. 11.6 - Prob. 38PSCh. 11.6 - Prob. 39PSCh. 11.6 - Prob. 40PSCh. 11.6 - Prob. 41PSCh. 11.6 - Prob. 42PSCh. 11.6 - Prob. 43PSCh. 11.6 - Prob. 44PSCh. 11.6 - Prob. 45PSCh. 11.6 - Prob. 46PSCh. 11.6 - Prob. 47PSCh. 11.6 - Prob. 48PSCh. 11.6 - Prob. 49PSCh. 11.6 - Prob. 50PSCh. 11.6 - 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- Consider the equations x² - y²z³+w² +4 0 2xy + y² - 2z²+3w¹ +8 = 0. = (a) Show that near (a, b) = (xo, yo, zo, wo) = (2,-1, 2, 1), z and w can be expressed as differentiable functions of r and y. ди (b) Compute at (2,-1,2,1). ?хarrow_forwardLet f(x,y)= x'y+2x² and find f,(1,2) and f,(1,2) 1. 3x- yarrow_forward2. Find the directional derivative of f(x,y) = x cos y in the direction of v = 22, -1). A. (2 cos y + xsin y) (2 sin y - x cos y) B. √/5 C. 2 sinyxcos y D. cos yi - xsin yj E. 2 cos y - x sin yarrow_forward
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