3x – 1 and g(x) = x² + 4x – 2. Evaluate the fol - - a. f(3) = b. f( – 1) = с. д(— 3) %3D

Q: D Exponential Shifting Theorem 4 (D° + 4D°-3D - 18)4=24x°e-3× t 4D²-3D - 18)y = 24 x°e¯*

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Q: D. EXPONENTIAL SHIFTING THEOREM 1. (D³ + 4D² – 3D – 18)y = 24x³e-3x 2. (D² + 4D + 4)y 2a-x = 64x²e¬x

A: Note:- According to company policy we can attempt only one question so please upload the next…

Q: eralvate s Ēodp where C is represientee ぐ F (Xっy)= yi 土 6+) = 28ti + tj

A: To evaluate: ∫CF.dr→F→x,y=xyi^+yj^rt=28ti^+tj^ ,     0≤t≤7

Q: Find the general cowtion of the die. y9) + ya) - 24 =-e (9+67x+17 x²) + (861nax - o cosex) „(2).…

A: The given differential equation is , y(3)+y(2)-2y = -e3x(9+67x+17x2) +…

Q: By using variation of parameters answer the following for the DE: y''-y'-2y=4x^2  g) What is u2y2…

A: We have to find u2y2 using variation of parameter.

Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

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Q: Calculate ∂ω/∂x for ω=e^−2x x(multiplied by) e^(z^2y)

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Q: 10. Find the antiderivative of the following functions: a) f (x) = 12 – x b) f (x) = 8x³ – 9x² + 4…

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Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

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Q: - r)rdrde 32(V2-1) 16(VZ-1) c. VZ-1) 4(VE-1), S(V2-1) a. d. 3. 3 3 e. 3.

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Q: Q2. If the solution of the below first order D.E is y = Cefxy) (x + xy?)y' = y3 Find the f(x, y).

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

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Q: 2. b. Then, use the linearization to approximate the number V8.7. Be sure to show work, and clearly…

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Q: (i) A business manager determines that t months after production begins on a new product, 6t2 + 5t…

A: Given: P(t) = 6t2 + 5t(t + 1)2 To Find: limt→∞P(t).

Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: 2 Find the general antiderivative of f(x) = 5x* + 4 + C

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Q: If f(x)=8x^10−9x^−8−9^6√x what is the antiderivative of f(x)?

A: f(x)=8x10−9x−8−96x To Find: the antiderivative of f(x)

Q: by first – shifting find L(e2t t3)= %3D 6. (s-2)4 .a O 1 (s- 3)4 .b O (s -2)3 3 (s - 2) 4

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Q: 3. Differentiate f(x) = ( 2x² + 3x – 5)(4x – 3) using the product rule. You may use the substitution…

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Q: How do you find elasticity when the q=D(x) = 500/(2x-12)2? I know the E(x) = -x*D'(x)/D(x) but for…

A: Consider the given demand function.

Q: Ql: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h=D 0.1) using Runge-Kutta.

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Q: Determine the value of the arbitrary constant of the antriderivative of F(X) = x-In(x) given the…

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Q: Exl. suppose the pdf of r.v. X is [x/8, 0<x<4 fx(x)= {*/8, 0<r<4 . Find the pdf of Y =-2X +8. 0,…

A: Y= - 2X + 8, we have dydx= - 2⇔ dx =-dy2and 0&lt;x&lt;4 ⇔ -8&lt;-2x&lt;0 ⇔0&lt;-2x+8&lt;8⇔…

Q: Solve the following 2nd order D.E using variation of parameters method: y'' + 2 y' + y = e^(-x)

A: The non homogeneous differential equation is given as y''+2y'+y=e-x Corresponding homogeneous…

Q: + 11x is The antiderivative of the function f(x) = 4 + 5.5x² + c 11 + 2.0z² + c + 5.5z² + c -4 +…

A: Anti derivative is obtained by integrating f(x)

Q: O For the bvp d²y - 9y = 3x, y(0) = y(1) = 0 the Green's functions G(x, §) satisfies d²G(x,£) -…

A: The greens function satisfies the homogeneous differential equation, not the non - homogeneous…

Q: Ql: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: :Q3 Classify PDEs below и ди y2 и + и = ue 5x — - ду

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Q: 15t + 40 10 Given t2 +3t 10 t – 2 t + 5 15t + 40 dt t2 + 3t – 10 antidifferentiation c) Evaluate…

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Q: Q16: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 0 an ordinary point? Explain…

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Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

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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: 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: Find the eror in the work, then correct the mistake and find the correct answer Step Equation nol…

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Q: Q3. Choose the correct answer 1- x- In x2 + k Is the result of integrating the function? A. 1-2х А.…

A: Find the function which is the resulting integration of function x-ln x2+k.   A function Fx is…

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: f(x)=Vx+10 X-4 Damain af flxt Donain of fle(x)) =

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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

Q: f Lan 2X e *3 of +sec2X Pinel dy o

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Q: .Evaluate the functions below using Gaussian Elimination Me 3x +4y + 2z = 10 x+ y = 1 x+ 4y + 6z = 4

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Q: Given d'y dx² = 6x-0.5x², y(0) = 0, y(12)=0, Use step size h = 4, z1 = 20, and z2 = 25. Enter 4…

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Q: Q1: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

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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: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: f'(x) = x³ – 8x? + 16x + 1, ƒ (0) = 0 %3D

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Q: Find the orthogonal trajectories of x2 + y? – 2cy = 0

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Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

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Q: (b) f(z)= (4 – 5e*)³ x² + 1 (c) f(r)= ez %3D (d) f(z) = e=²–5z+4 ez-5x+4 (e) f(x)=xe² – e² = re² –…

A: We can solve this as follows: