Find a finite difference approximation to f"(x) using the points x — x − 2h, x-h, x,x+h,x+2h and determine it's order of accuracy.

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Q: Use flat random numbers to estimate л.

A: Let us estimate the pi using flat random numbers in the next steps.

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Q: Example 7.7. Find f (22) from the Gauss forward formula 20 25 30 35 40 45 f(x): 354 332 291 260 231…

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A: We want to find true option.

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Q: 8 (i) Σ n=1 Test for convergence the series 3.6.9 ... 3n x" (x>0), 7.10.13... (3n+4)

A: Test for converges of the series, using Ratio test

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A: We have: T r 40 1069.1 50 1063.6 60 1058.2 70 1052.7 80 1049.3 90 1041.8 100 1036.3…

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Q: 1. Consider the mathematical systems (R, *1), (R, *2), and (R, *3) where *1,*2, *3 are defined as a…

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Q: 16. A series of elements to the power of zero.

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Q: 3. Consider the function f: IR→ (0,1] defined as f(x) = x² +1 (a) Prove that f is not one-to-one.…

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Q: Solve the differential equation below using series methods. (-7x²+8)y'' - 2xy = 0, y(0) = 4, y'(0) =…

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Q: Which of the following is True? (1) x² - 4y2 - 9z²+36 = 0. is an equation of a Hyperboloid of Two…

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Q: Which statement below best describes the graph? 8 6 A X +2+ -4 -6- O Domain = {-4,-3, 0, 2, 7);…

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Q: -Solve the following differential equations: 1)+²=x² (Integrating factor).

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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Q: Exercise II Use the method Laplace transform to solve the following. (a) = 1₂-1₁ +1₁ 2²₂2 = 1₂.

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Q: Nothing is known about the personal life of the ancient Greek mathematician Diophantus except for…

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Q: Problem 8: Graph one complete cycle only, making sure that amplitude, period, and phase shift are…

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Q: solve the following system of equations: x'=dx/dt=7y+7e4t y'=dy/dt=5y-3e-5t x(0)=2 and y(0)=3

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Q: Let M be the surface given by z = y^2 − x^2. Compute its Gaussian and mean curvatures at all points

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Q: List the eigenvalues of A. The transformation x→Ax is the composition of a rotation and a scaling.…

A: Solution

Q: Let A (1,0, 2) and B= (6, -2,3). Solve for projAB. =

A: Given vectors are A = 1, 0, 2   and   B = 6, -2, 3

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A: Given initial value problem is y' + y = g(t) , y(0) = 0 where g(t) = 1,0≤t≤10,t>1

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Q: (c) Use integration by parts to evaluate the following integrals: √ 2 2 e 3x sin2x. dx

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Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

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Q: Determine the area enclosed by the curve r²=4sin(20).

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Q: A square matrix A is nilpotent if A" : = 0 for some positive integer n. Let V be the vector space of…

A: We shall solve first three subparts only as per the company guidelines. For others kindly post again…

Q: 3. Find the general solution, given satisfies the complementary equation. As a byproduct, find a…

A: We can solve this using inspection

Q: Compute the greatest common divisor (GCD) between the numbers. (a) gcd (24,54 ) = 6 (b) gcd (18,42 )…

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Q: 22 Find the PALU factorizations (and check them) for 0 1 1 A = 1 0 1 and A = 2 3 4 1 2 0 24 1 1 1 1

A: Solution :- As per guidelines I submitted only first question. If you want all question the repost .…