6) Let F(x,y,z) = and f(x,y,z)= || F(x,y,z)||. Show that V(Inf) = F/f².

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Q: Let e, f, h = Z¹. If [e, f, h](e, f, h) = efh, then prove that (e, h) = 1.

A: Given: Let  (positive integers), where denotes the least common multiple of (and ).Objective:…

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Q: see pic

A: Let the age of youngest child is x years. Youngest child 7 years older than the oldest. Who is 18.

Q: 3) Find the solution of initial and boundary value problem Ut - 2Uxx = 0, 0 0 u (0. t) u (π, t) = 0,…

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Q: Solve the initial value problem: x²y" + 5xy' + 3y = 1+x³, y(2) = 0 and y' (2) = 0.

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Q: Solve the following initial value problem. y(3) + y = 5x + 6ex. y(0) = 1, y'(0) = 0, y''(0) = 1

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Q: Solve for x: 3* - 6(√3)* 27 = 0

A: We see     3x - 6(√3)x - 27          = (√3)2x - 6(√3)x - 27          = (√3)2x - 9(√3)x + 3(√3)x - 27…

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Q: . Determine the solution to the following system: x-y +z = 10 2x + 3y2z = -21 2 1 1 1 2x + 5y + z z…

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Q: 6) Use Stokes' Theorem and Theorem 10 in section 16.7 to find § F · dř. F(x, y, z) = (2y, xz, x + y…

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Q: Solve by simplex method to find Z only S.T. Max. Z= 4X1 + 5X2 X1 + X2 ≤ 10 3X1 + 7X2 42

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Q: +r (n+r+1) ( ) + ( + ¹) + ( + ²) + + (" + ²) - ("+²+¹) = 1 2 r

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Q: Use Newton's method to approximate all the intersection points of the following pair of curves. Some…

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Q: (4) Find the inverse Laplace transform of F(s) : = 2(s − 1)e-2⁹ s² - 2s + 2

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Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

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Q: Find two power series solutions of the differential equation about the ordinary point x = 0. (x - 1)…

A: The differential equation given isThis can be solved by assuming a power series solution of the form

Q: Why can't a I by-3 system have x₂ = (2, 4, 0) and xn = any multiple of (1, 1, 1)?

A: We have to show that for a 1 by 3 system a solution and  is not possible.