Solve the following PDE using the method of separation of variables and Fourier:

Q: Please make your own questions and solve it on your own about the following topics: - Kurtosis

A: Question :- Using the data from the example above (12 13 54 56 25), determine the type of kurtosis…

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Q: da (c) Use Romberg's method to compute correct to 4 decimal places by taking 1+2? h = 0.5, 0.25 and…

A: Trapezoidal Rule:                                      ∫abf(x)dx=h2[y0+yn+2(y1+y2+y3+...)] Given…

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A: Consider the system of linear equations  a1x+b1y=c1a2x+b2y=c2 To solve the system of equations by…

Q: 1. Find a real root of the equation x³ – 18 = 0, correct to three decimal places by using Bisection…

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Q: Find the smallest positive root by using the bisection method Ax) = 2x-x with Residual error e<0.01

A: The given function is,f(x)=2x5-x3

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A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: ) Integrate from 9 to 13 the function: ( 1/ (x^2 + 6x) ). Calculate a floating-point value. ans:1

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Q: QUESTION 16 Compute the following. x4/7+ 12x +9 dx 3x6-17x3+15

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Q: Solve the DE x²y"-3xy'+4y=lnx.

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A: Let's find.

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Q: Integrate the following: x4 -dx 5 (4xº + 9) “

A: Given Data: Integrand: ∫x44x5+95dx One important rule of integration is, ∫fxnf'xdx=fxn+1n+1+C…

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Q: Find the following.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

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Q: Solve the following DE using variable separable 1. dyidx = 4x + xy/y -xy

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

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Q: a) S dt

A: To evaluate the integral , ∫lnttdt Solution: The given integral is ∫lnttdt Using by parts in the…

Q: Verify that 1 1 1 x2 – 1 2 x – 1 x +1 and use this equation to evaluate 7 1 dz x2 – 1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: ] Perform the numerical integration for the following unction Jo 1+x2 xp

A: We use trapezoidal rule by taking 4 -sub intervals for this integration.

Q: : Use the e Runge-Kutta method to approximate values of

A: Introduction: The Runge–Kutta technique is a popular and successful approach for solving…

Q: (2 + j)?

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Q: a) fx² sec2

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Q: Evaluate the given definite integra ! 28 X-5 dx = 0.8 Round to three places as needed.

A: The value of given integral is 43.224

Q: Find the indefinite integration of 9t8 +(t/8)

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Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: Find the value of 24 correct to 3D using Newton-Raphson iteration method.

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Q: )find dy to yalog,o(3X+1)

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Q: Solve the D.E Seczx %3D

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Q: 1. b. X %3D in

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Q: 8. Find a negative root of the equation x-x +11 = 0,correct to 4 decimals using bisection methods.

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Q: of J76-0 do 9 ☺ Sal loe doc

A: To find Integral

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Q: Please calculate the following problem. Show all work

A: We will do the calculations for land area.

Q: Use the nspire calculator to integrate (b) Use the shorteut formulas to find L{81* – 5t² –…

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Q: 1 dx (2x + 1)'

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Q: Solve the DE x2y"-3xy+4y=lnx

A: Given the differential equation is                                 x2y''-3xy'+4y=lnx ⋯⋯⋯ (i) Solve…

Q: Choose the correct answer for the following integration

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Q: Find the value of 24 correct to 3D using Newton-Raphson iteration method. 20x

A: Find the value of √24 correct to 3D using Newton-Raphson iteration method.

Q: If PXS 40 and SPX 63°, calculate: TO (b) RQP. (a) PSR

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Q: 3. Find the areaintercepted by the three equations 4x? – y² + 2x = 1, y² – x = 4, and y = x – 2.

A: Given 4x2-y2+2x=1y2-x=4y=x-2

Q: Use the linear approximation L(x)=2-(x/4) to approximate the numbers radical(3.9) and radical(3.99).…

A: 3.9 is close to 4. And 4 is being used for approximation.For radical(3.9) , x=4-3.9=0.1We have to…

Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…