2 f(x) = v2x + 3,as 2. f(x) = v2x +3,a =3 %3D

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

A:

Q: 9. y = x – 5x+52) 21n10. y = 2r2 11. f(x) = 12. f(x) %3D x² +x- 6 15x2 +31x + 1 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: 16 dx (x-1)°(x+1)

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Q: 5. f(x) = 2x - 6 x2 - 7x + 12 Holes: Vert. Asy: Hor. Asy:

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Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

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Q: let x= et then by the chain rule d3x/dx3 equals

A:

Q: d. yı = X1 X3 X1 + X2 Ya = - X1 – 3x2 – 2x3 e. yı = x1 + 2x2 + X3 Y2 = Y2 = x1 + x2 Ya = X2 + X3.

A: d)  The map from R3 to R2 is onto.  e)   The map from R3 to R3 is not onto.

Q: E (X² + Y²) E (XY)

A:

Q: Solve with help of partial fraction technique (b) f (5 – 4 x – x² ) dx

A: Our Aim is to solve the integral given below with the help of partial fraction:-∫x5-4x-x232dx

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: 5. y = xArctanx - In v1+x

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Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

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Q: 8. 8. f(x) dx = 37 and g(x) dx = 18, find [3f(x) + 5g(x)] dx. %3D %3D

A: We have to find the value of integral: ∫083 fx+5 gx dx if ∫08fx dx=37 and ∫08gx dx=18. Rewriting the…

Q: Evaluate VA-x2 4-x2-y2 (x² + y²) dz dy dx. -V4-x2 0.

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Q: how would I take the partial derrivitive of this equation, I cannot use the chain Rule as we have…

A: Given function,

Q: C. SOLVE USING PARTIAL FRACTIONS. dx S- 1. .2 x + 2x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: dx x(x2 + 1)2 3.

A:

Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

A:

Q: Find the general solution of the following using the method provided: 3. Variation of Parameters y"…

A:

Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: y' +(E- 1)y ==

A:

Q: .3 S(3 – e3*)²dx

A:

Q: Q5/ Use Newt on-Raphson Method to find the approximate solution of the nonlinear equation f(x) given…

A: We are given that x3-x-1=0 . We have to find the approximate solution of the given nonlinear…

Q: V1-x2 3. Evaluate S S /1-x²-y² dxdydz V1-x2-y2-z2

A: We will solve the following.

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: S(2 + e2*)³dx

A:

Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: Exercise 5 Using the method of variation of parameters, the particular solution , for y"+3 + 2y = "…

A:

Q: S sec 2ydy

A: Topic:- integration

Q: y³dy 2. S. (a²-y²)7

A:

Q: Find f(t). 2s + 3 s2 + 4s + 13,

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Q: f(x₁, x₂) = (x₁ - x₂)² + (x₁ −4)² + 2x₂-2 Find the optimal solution using Hessian.

A: note : As the "Student ID" is not provided, we will solve the first question (a) only.   As per the…

Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

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Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

A:

Q: 2 c2x-4 ( dydx 2у - 1) Q2. Evaluate the double integral x + 1

A: In this question we have to find the double integration.

Q: Obtain the general solution by the parameter variation method ÿ = 2ÿ – ý + te-2t + 3

A: The solution is given as

Q: 3x The y, of y''-6y'+9y = by using variation of parameters is: .A Y,(x) = -In(x). e 3x 3x -e |

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Q: 2x³y' = y(y² + 3x²) using Bernoulli.

A:

Q: 4x1 -5x2 +3x3 +3x4 4 -I1 +x2 +3x3 +3x4 4 3x1 -4x2 +6x3 +6x4 8 -3x1 +3x2 +9x3 +9x4 12 +s +t

A:

Q: First order linear of 2x3y'=y(y2+3x2)

A:

Q: Q2/ By using partial method solve fx² In x dx

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Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

Q: dy 6. S: y3-2y2

A:

Q: Does y =e9-x2-2 exist?

A: Given an equation, y=e9-x2-2. To check whether the equation exists or not. The value of e is…

Q: 4. Solve y"- 4y' +3y = 1 by variation of parameters. %3D 1+e-*

A:

Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…

Q: Use the Gauss-Seidel method to solve the following system until the percent relative error falls…

A: The gauss-Seidel method uses the iterations to solve the system of linear equations. The iteration…