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Q: Find the linearization of y = eV3x at x = 64. (Use symbolic notation and fractions where needed.)…

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Q: 3t Q3) Verify that -e-3t e 3t are solution for re-3t 3t 1 e-3t -2 21 2 X on (-0, ∞). 2 X': -2 1 2 1

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Q: Q3. Verify that y² = x² – 3 is the particular solution to the following ivp: y' = ; y(2) = -1. %3D

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Q: 6/11 - 8) AT= 12 RT = 4x S. T %3D doesn't R

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Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over ]3,4[ 12,31 O 11,21…

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Q: a) Prove If he Given DE Is exact or non-exact Find its General solution

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Q: 03 Solve the diferential eauation ecosx-0. COSY-o by Milne s method with h-ol

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Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

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Q: 2 Find z ax? 2 and ду?. ay ax 1. Z z = 3x y³ 4x* y?

A: Here I am attaching image so that you understand each and every step.

Q: Мaximize z —D 5ӕ + 5у 2х + 5y 40 бх + 4y < 54 Subject to Маximum is x = A VI VI AL AI

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Q: Siven X (z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2 +13z-3 O 1 O 0.5 -1 O 1.5

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Q: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

A: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

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A: We will show in step 2.

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Q: 2. Verify that r = Cie +C2 is a solution to a" – r' = 0. Find C1 and C2 so that r satisfies x(0) = 1…

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Q: What is the solution of 2r (y + 1) dr ydy 0 when z = 2 and y= 0 ? In(y +1) + 4 1- In(y+1) +3 In(y+1)…

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Q: Evaluate /, a Te dydx y2 2 JJ4X-x² 32 dydx (x²+y²)' V4x-x? O 4 In(v2 – 1) – 4+7y/2 3 4 In(v2 + 1) –…

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Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

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A: Use the procedure of reduction of order to solve the given differential equation as in next step.

Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

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Q: 6x + 6 13 dx Evaluate - x4 -3 О З2? + 2 - 13x + C, Where C is the parameter O 3x2 – 2 3 – 13x + C,…

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Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.)…

A: topic- linearization of a function

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Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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Q: 3a Show that the method xn+1 = Xn 6+ Xn ,converage to vā. %3D a

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Q: 1. Using Gauss-Seidel and Jacobi Method, find the values of x1, x2 and x3 with ek < 0.001. 2x — 6х,…

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