Show that (1,-3,-1) (-3,4,2) independent of path: ST 38 D 38 58 58 Əh ?z Əh ?x || || 11 || ƒ dx + gdy + hdz = f(¹,−3,−¹) 10xy¹z²dx + 20y³x²z²dy + 10zy¹x²dz is Therefore curl F = (1,-3,-1) 10xy¹z²dx + 20y³x²z²dy + 10zy ¹x²dz =

Q: Let L be the line passing through the point P(1, 1, 1) with direction vector d=[2, 1, 0]T. Find the…

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Q: х? — бх + у? — 2у - 6 %3D 0

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Q: 1 -2 4 17. Let a 4 a2 -3 and b : For what 7 value(s) of h is b in the plane spanned by aj and a2?

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Q: Let L be the line passing through the point P(-1, -3, -2) with direction vector d=[-1, 1, 1]T. Find…

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Q: Let u = 4 h = V= and w= 1 . For what value of h is w in the plane spanned by u am

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Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

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Q: Let F = Vf and f = 5x²y - 5z. Calculate F. dr for the path r₁ = (t, t,0), 0 ≤ t ≤ 1. (Give your…

A: We will use fundamental theorem of line integrals

Q: Which of the following statement is false about a quadratic spline with 2 knots? A. It has 5 degrees…

A: The question has been solved in step 2.

Q: thể midpoint of the segment with endpoints (3, 6) and (5, -2).

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Q: (0, – 3) (1, – 4) (-1,0) (4,5)

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Q: 3) Find the distance from ( − 11 , − 8 ) to ( 1 , − 13 ).

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