Example 7.31. Obtain the cubic spline for the following data x: 0 1 2 3 y : 2 -6 2 8

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Q: 1. [(PD(TU)] [(Q.R) DS] 2. Pv (QR) 3. O ITOU) OP IS DIQRI OTDUVS O(TDU) S 1.2 Constructive Dilemma

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Q: (c) Express 6x-5 in partial fractions and hence evaluate: (x-4)(x²+3) -6 6 x-5 dx √≤ (x−4)(x²+3)

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Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

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Q: ci Consider the following system: da =-2r (a) Sketch the phase portrait for this system on the axes…

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Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: Evaluate cos dV, where E is the region enclosed by the E sphere p = cos(4).

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Q: Consider the so called Riccati ODE and let y₁ be a solution. y' = p(t)y² + q(t)y + g(t). Show that:…

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Q: Consider the following matrices: 1 A = B = C [32] -6 3 6 Compute the following expressions or…

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Q: Evaluate the following expressions in MATLAB, where t = 8 s, i = √-1, and w = 1607 rad/s. (Enter…

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Q: X3 X5 For approximately what values of x can tanx be replaced by x-3+5 with an error of magnitude no…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. En 15 (2-x)

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Q: 4. A 2 kg mass is attached to a spring whose constant is 6 N/m, and the entire system is submerged…

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Q: 2. Let a1, a2, a3,... be the sequence defined recursively as follows: a₁ = 1, a2 = 20, and for all k…

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Q: Find all the three roots of the equation x² - 3 cos(x) +2.8 = 0 using (a) bracket method (bisection…

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Q: is a solution to the ODE a. x²y" - y = 0; b. x²y" + 6xy' + 4y = 0. Find the values of m for which…

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Q: Let = {a,b}. Prove the equivalence: b + ε*bab((ab)*)* = b(ab)*.

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Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals :…

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Q: 6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y=2 and the 3…

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Q: In order to solve with we first write and Setting We can solve for where to get and X-T/2 we find…

A: The given differential equation is                                     sin 2x dx+cos 3y dy=0…

Q: 1. Write the next three terms for the given sequences and patterr 1. 1, 2, 4, 8, 16, ... 2. 1, 1, 2,…

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

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Q: Lesson 15.3 Piecewise-Defined Function Evaluate the piecewise-defined function for the given values.…

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Q: The fixed point iteration method X(+1) = g(x₂) converges if O I g'(x) | = 1 Og'(x) | > 1 Olg'(x) |<1…

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Q: 6. Consider the following linear system of differential equations: dY [ -1 5 2 1 Y. dt (a) Determine…

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Q: Use least-square regression to fit a straight line to the given data below: x y 3 12.3 5 14.1 6 13.0…

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Q: Let V be the vector space P3[x] of polynomials in x with degree less than 3 and W be the subspace W…

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Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = A e²x + Be* + C

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Q: 1. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

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A: We have to find partial derivative .

Q: x + 2y ≤ 40 2x + y ≤ 40 Use the following constraints to maximize z = 3x + 2y. { x + y ≥ 10 x>0 y 0…

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