QUESTION 7 Consider the vector field F(x, y, z) = (4xy+1) + (2x² + 2y)] +9z²k. a) Show that the line integral [F. dr is

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QUESTION 7 Consider the vector field F(x, y, z) = (4xy+1) + (2x² + 2y)] +9z²k. a) Show that the line integral [F. dr is

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Question 7 Consider The Vector Field F X Y Z 4xy 1 2x 2y 9z K A Show That The Line Integral F Dr Is 1
Question 7 Consider The Vector Field F X Y Z 4xy 1 2x 2y 9z K A Show That The Line Integral F Dr Is 1 (22.04 KiB) Viewed 55 times
QUESTION 7 Consider the vector field F(x, y, z) = (4xy+1) + (2x² + 2y)] +9z²k. a) Show that the line integral [F. dr is independent of path. b) Find the potential function f(x,y,z) such that F = Vf. CONFIDENTIAL (3 marks) (5 marks) CS/FEB 2022/MAT560 c) Hence, evaluate [F.dr where C is the curve given by vector equation r(t)=2ti +t²j+t³k, Ost≤1. (3 marks)
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