Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.3, Problem 24PS
To determine
To find: The scalar function f and show that the
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2. Let F be the vector field (-2 sin(2x - y), sin(2x - y)). Find two non-closed curves C₁ and C₂ such that
[₁
C₁
F. dr = 0 and
[₁
C₂
F. dr = 1
7. Sketch the vector field F = (x − y)î + yĵ. Identify where F₁ vanishes. Identify where
F2 vanishes. Plot a few flow lines.
8. Repeat the previous problem for F = yî + (x − y)î.
Please solve this
Chapter 13 Solutions
Calculus
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- 8. For the vector field F= 2(x+y) -ŷ 2x² + 2xy, evaluate fF.ds where S is the upper hemisphere evaluate f (VxF) ds where of x² + y² +2²=1, and S is the upper hemisphere of x² + y² + 2² = 1. S Zarrow_forward9. Sketch the vector field F(x, y) 1 -(yi — хі). Vx? + y?arrow_forward7. Determine whether the vector field F(x, y) = (eª² co vative. If it is, find its potential function f(x, y). cos y − ² + ½, x³y - e²z², sin y ln x + 2y) is conser-arrow_forward
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