Use Gaussian elimination and Gauss Jordan method to solve the system of linear equation. x - 2y-6z = 12 2x + 4y + 12z = -17 x - 4y - 12z = 22

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Q: 18. 8T nn

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A: The given equation is; tanx dx + y cos2x dy =0 Repost the next questions.

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: (a) 3f(x) Derivative of given combination  3f'(x) at x=2 3f'(2) = 3*17=37

Q: 2. Divide 20 into two parts. Find the two positive numbers if: (a) their product is a maximum; (b)…

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Q: 29. Σ n=1 n In2 + 4η + 1

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Q: - Find and sketch the domain of the functions: √x+y+1 x-1 b) f(x, y) = x ln(y² - x) c) f(x, y) =…

A: The given functions, a) fx,y=x+y+1x-1b) fx,y=xlny2-xc) fx,y=6-3x-2y We have to find the domain of…

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Q: Use the graph of y = f(x) to graph the function g(x)=f(x)-2 y = f(x) Q AY -6 -4 -2 -2 + ib N Choose…

A: Concept: A relation between a collection of inputs and outputs is known as a function. A function…

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Q: Find the equation of the tangent line to the curve xy+x=2 at the point (-6, -4/3). Write the answer…

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Q: Given f(x, y, z) = x²y³z - 3xy²z³ + 5x²z - y³z, find fxyz

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Q: plot 1 2√x+y + 1 2√x-y

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Q: Given f(x, y, z)= xyz, find fxyy

A: Derivate f thrice with respect to x, y and then again with respect to y.

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Q: In Exercises 9 and 10, use the graph to find (i) lim_f(x), (ii) lim f(x), (iii) lim f(x), and (iv)…

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Q: How would you define f(6) in order to make f continuous at 6? f(x) = x²-3x-18 x-6

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Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

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Q: 38. n=1 n-2 10n + 5

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Q: -5 -4 -3 -2 -1 5 4 3 -4 2- 0 --10 -2- -3- -57 1 2 3 4 5

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Q: F(x)=7x1-9 and a.) f(q (1)) b. g (F(1)) c. f(g(x)) D. g (f(x)) e f ( t) g (t) g(x) = 7 (MJ.

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Q: 49.9(0)(-77.895)

A: Question : -49.9(0)(-77.895)

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Q: 10. Solve uxx + Uxt-20utt = 0, u(x, 0) = (x), u₁(x, 0) = (x).

A: Factor the operator as we did for the wave equation

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Q: 7. AT 0=1 n n + 1

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Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: the lakrang. 3 foxy 2 2 7 True Erort

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Q: dy/dx-3y=0,y(0)=2 solve by Laplace T. * f(s) Option 1 = - 1²/2+5²2²232 S-3 y=2 e³t

A: Given :dydx-3y=0     , y0=2

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Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 8-π/2 1+cos20 3) lim

A: limθ→π2 1-sinθ1+cos2θ

Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

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Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

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Q: angle between 0∘0∘ and 360∘360∘ that is coterminal with the 1950∘1950∘ angle is what degrees.

A: Topic:- trigonometry

Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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Q: Then (fofof)(x) = || (gogog)(x) = ((fog) - (gof))(x) = ((f+g) o (f-g))(x) = f(x)=2x-1 and g(x) = 3x…

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