Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.1, Problem 6PS
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11.6: Problem 8
Find the directional derivative of f(x, y, z)
point (1, 2, 3) in the direction of a vector making an angle of
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= zx + y“ at the
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=
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Dvg(2, 1, -3) =
Chapter 13 Solutions
Calculus
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- 3. Find the directional derivative Duf(x, y) if f(x, y) = x³ – 3xy + 4y² and u is the unit vector in the direction given by angle 0 = 1/6, measured from the positive x-axis. What is Duf(1, 2)?arrow_forwardQ3. Find out values of a, b, c for which curl of vector V is zero, where V = (2xy+ 3 yz) i +(x² + axz – 4z²)j +(3xy+ 2byz)k .arrow_forward10. Given R = x7 +y3+ zR, and r = R show that (a) V x [4(7 x )] = !7+ 1R, (b) (A x V) x R = -27, /r" = ở, and (d) V• [R/r" = (3 – n)/r" (c) Vx for any constant vector A.arrow_forward
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