Consider the following data on domain [-1,1] x -1 -1/2 0 1/2 y 1 -1/2 1 5/2 Need help to rescale and transfer the data so that x ∈ [0,2π].

Q: (2. Calculate Karl Pearson's coefficient of skewness from the following data : Profits (Rs. Lakhs)…

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Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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A: Given- Consider the function Ωkt+1 ≡ kt+1st, where st = srt+1 = srkt+1.  To find- Differentiate the…

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Q: Solve the following BVP using finite difference approximations with the step-size 1/3: d²u 3 dx²=u²,…

A: Given IVP is d2udx2=32u2,      u(0)=4,  u(1)=1           (1) step size h=14 By finite difference…

Q: 2. If :|S1, determine the maximum modulus f(:) (a) f(=) =z-2z+3, (b) f(=) == +z-1, (c) f(=)3= :+1…

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Q: Consider the following IVP: у" +у'%3D-сos x;B у(0) %3D а, у(0) -b Find the general solution. A y (x)…

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Q: Which of the following characteristic equations is primitive ? Select one: а. х3 + 1 b. х3 +х+ 1 С.…

A: Option B is correct...

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

Q: *) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are…

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Q: The Wronskian 1. Show that the functions ex, cos x and sin x are linearly independent.

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: 2. Show that when f'(x) is evaluated at x = Xị, the equation to calculate the unequally spaced data…

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Q: 6. Let 1 f (x) - cos x + sin(2x), x E [0, 1] 2 Find the least squares polynomial approximation of…

A: Let fx=12cos x-sin2x, x∈0,1. To find quadratic fitting  fx≈P2x=a0+a1x+a2x2 Consider, s0=∫011dx=1

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A: Given  fxθ=θ              when x=-11-θ2θx     for x=0, 1, 2, ....

Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

A: The given function is f(t)=(e-3t-e5t)2. Expand the function implies, f(t)=e-6t+e10t-2e2t The Laplace…

Q: the following constrained optimization problem using the method of Lagrange multipl max ln(xyz),…

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Q: A. B. C. D. E. 0.6667 0.2857 0.4665 1-30 01 2.2500 -0.3333 -0.4286 -0.5274 -1 5 0 -1.7500 -0.6667…

A: Given : a…

Q: Let f(x) = -cos(x). Compute ộ = coto + C1T1 where to = 1 and 1i = x. %3D Compute the discrete…

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Q: Repeat the previous example assuming that the modulating signal is given by: f(t) = {t - 1, 0, 0<t<…

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Q: Determine Taylor's formula of order 1 and center a = (0, 0) of f(x)=ex1sin(x2).

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Q: 12: Apply Newton's method with line search for f(x) = x₁-x2 + 2x² + 2x₁x₂ + x2 with a starting point…

A: We have f(X) = x1-x2+2x12+2x1x2+x22

Q: Let p(x)= e5x be the standard integrating 3 factor to x y' +p(x)y =x°. Find p(8).

A: We have to find the value of p(8).

Q: Find the best rank 2 approximation to A from (1) with respect to ||:||F.

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Q: Let C be the shortest path that connects a to ni and I = . (sinhz + 1)dz %3D O I-sinh rt+ T(i-1) O…

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Q: Consider the following LP Min z = 3x, + 2.x, +7x, s.t - x, + X, =10 -2x, + x, - x, <-10 *,X,,x, 2 0…

A: Hi! As per norms, we will be answering the first question. If you need an answer to others then…

Q: Consider the following basis functions: (sin(x), log(x), 11. Using Least Squares on given data set…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: We will first find for h=0.1.

Q: 1.1 Solve for x in cach of the following: 1.1.1 * +x-12=0 1.1.2 V2x+1 =x-1 1.1.3 2 = 27 1.1.4 x…

A: As per the guidelines we are allowed to solve one question. So please upload the other questions…

Q: For the following data • Compute and plot the values of (h) and r, at lags h 0, 1, 2, 3 and 4. • Use…

A: Hypothesis Testing:               Hypothesis testing is used to estimate the sample size…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Suppose that the average monthly low temperatures for a small town are shown in the table. Month 2.…

A: Here we use the model f(x) = a sin (b (x - c)) + d model for the given data.   Now, the equation…

Q: 2. Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem(3.3) to determine the step…

A: Given function is f(x)=sinx Interval is [0,1] Solution a: For linear interpolation N=1 So…

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Q: 1 3 3. Use the IVT to prove that y = x ln x has at least one zero on 2' 2

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Q: Consider the IVP S2(t) = -1+cos(t + x(t)) cos(t + x(t)) x(0) = 0. Show that the ODE is exact and…

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Q: Let C be the shortest path that connects t to ni and I = S. (coshz – 1)dz. Then |=-sinh n+ n(1-i)…

A: The solution is given by using line integral method as follows

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Here we have to use Euler's method to obtain a four-decimal approximation of the indicated value.…

Q: The maximum amplitude of the characteristic function is unity at =0, i.e, 1øx (@)| søx(0) or |øx(@)|…

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Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: x+1 Q1/ Prove that coth-1x = x-

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Q: A clamped cubic spline for a function f on 0,3 is given by [1+ax² -2x', S(x) = . [1-2(x-1)+b(x-1)² +…

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Q: 1. Evaluate the following. Use only the rules and techniques of integration presented in the module.…

A: To evaluate the given integral.

Q: se Euler method to compute ys for the DE yy'=2 x for y(1)=3

A: Euler's Method

Q: 2. Let f(t) be a continuous function on the interval [0, 27]. Suppose the 1st order Fourier…

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