Solve the initial value problem y" - 4y' - 45y = 0, y(0) = : Find a so that the solution approaches zero as t→∞. 8 || = a, y'(0) = = -45.

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A: If |A| = 0 then it is necessarily zero matrix  Example :  Let A =1224 Now |A|=1224              =…

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A: The solution is given by using the Heun's method upto 4 decimal places as follows.

Q: 7. The quadratic spline interpolating (-1, 0), (0, 1) and (1, 3) is Qo(x) = 1 + 2x + x², Q₁(x) = 2x…

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A: It is known that: ddxf(gx)=f'(g(x))g'x.

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Q: 3/18 (a) 17/18 (b) 1 (c) 13/18 (d)

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Q: 14- If the p. d. f of a random variable X is f(x) = 2,0 ≤ x ≤ 2, then P(X> 1.5|X > 1) is (a) 0.5833…

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Q: Given that 2m-3-1-73 5 " then m =

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Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

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Q: -3 the values of the minors of the elements of first row are respectively 2 No answer text provided.…

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Q: 4- Power Series Solution. Solve y' - y = 0. y = a₁ + a₁x + a₂x² + A3x³ + ... = Σ amxm m=0

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Q: 24- The value of the half-interq range of the table below is الفئات عدد الطلاب 40-49 50-59 60-69…

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Q: To approximate y(0.4) for the following initial-value problem: ý=y-t²+1, such that 'i' is equal…

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Q: n Ralston's Method, agis equal to

A: Ralston's method  is second-order method with two stages and has a  minimum local error bound.

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Q: Solve for the 1.Fixed Point-Alteration 2.Newton-Raphson Method 3.Secant Method a. 4x² + 3x - 3=0

A: According to guidelines we can solve only one problem

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Q: 1. Let matrices be 6 A = 10 -3 1 L-10 5 [5 a = 1 -2 -21 [2] 1 1 94 4 -4 B = 47 0 -40 b = [308] -4 0…

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Q: 4. Evaluate //F FdS, where F(x, y, z) = (2x + 2xz, -4xy², y - z2) and R R surface of the solid…

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A: The ratio test: The convergence of the series: ∑i∞bi can be examined by evaluating the expression:…

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Q: QUESTION 1 A study was made on the amount of converted sugar in a certain process at various…

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Q: In Heun's Method, the value of a2is O 1/2 O 3/4 O 2/3 O 1/3

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Q: 8. Let A and B are square matrices of the same order and let S non-singular matrix and A similar to…

A: I have given the answer in the next step. Hope you understand that

Q: Given the Rational Function f(x) = Check all that apply. p(x) which of the following statements are…

A: I have given the answer in the next step. Hope you understand that

Q: Find the answer of -16 mod 5

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Q: 6. For any two nx n non-singular matrices A and B, then (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A).…

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Q: CLO1 - Q: Find all solutions of the equation 26+(2-2)² = -1 + $ CLO1 Q: Find the Principal value of…

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Q: Q3/ find the Fourier series for the following function. F (t) = ( 0<t<2 2<t<4

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