The degree of precision of the following quadrature formula is: 3h5 r)dx =r(0) + 3f(1) + 3/(2) + f(3) – where 1<{<3 80 O 2 Оз 3. O 4 O 1

Q: 3. Two ships leave port at exactly the same time. Doria heads. north at 10 knots and Stockholm heads…

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Q: 2. f(2y+3)y+2 dy

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to | (- - 62 + 24x2 – 2x…

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A: Given, the ODE is                       We have to find the solution to this ODE.

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A: Newton's Raphson method

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A: Given that, y=x sinx2, x0=1.5. By Newton-Raphson method, xn+1=xn-fxnf'xn. Solve for n = 0.…

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A: Apply formula of trapezoidal error

Q: Use the modified Euler method of Lecture 3, with n 10, to find xt1 = -t, (0) = 0

A: Consider the given differential equation.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to | (-z* + 10z° – 24x² +…

A: (a) How large should n be to guarantee that the Trapezoidal Rule approximation to…

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Q: Solve * + 3x – 4x = 20t, given that at t = 0,x = 0 and %3D

A: Introduction: One independent variable and its derivatives are included in an ordinary differential…

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Q: Solve for z. 4r 7 1 5/Ax Submit Question Iype her %3D

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Q: If so be solvet using atgebrate 3/2 /2 Substitufion, give the substitution for X and dx.

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Q: [5] Use the Gaussian quadrature to approximate the integral 1 x²e¬*dx. (a) Choose n = (b) Choose n =…

A: As per instruction we are allowed to answer only two sub questions. The generalised Gaussian…

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A: The given differential equation is: (t-3)y'+ (tan t) y=t ;      y(π)=0

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A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

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Q: We use the same notations for the interval E = [-1,1]. Show that 1 Mn+1 n+ 1 S 2n-1 M₁ 2n-1 Deduce…

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Q: 2 2 dx using Mid – Point Rule is The approximation of o x²- 4 | 1 15 16 15 14 15 None of these 8 15

A: The given integration is,∫022x2-4 dxSo, here f(x)=2x2-4

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to - z* + 12z - 30z - 2x…

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Q: 0 Given Sukiject to: find the vaplue x that wiU Minimine

A: Express z as in terms of x using constrain then use derivative to find x for minimising z.

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Q: Use the method of Variation of Parameters to solve the following DE: у" — у %3D2х2 —х— 3.

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Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

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Q: 2. Solve An=b; A 23 2 matróx n verri m 3. A Find Is it my mme ic?

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Q: By expanding (x – h)² + (y – k)² = r², we obtain x² – 2hx + h? + y² – 2ky + k² – r² = 0. When we…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.