(14). Obtain using Jacob's method, all the eigen values and eigen vectors of the following matrices: (a) 1 1 0.5 A = 1 1 0.25 0.5 2 (b) √2 √2 1 B = 0.25 √2 3 √2

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

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A: This is a question from the series and sequence.

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Q: | Example 10.34. Solve the equation y" = x +y with the boundary conditions y(0) = y(1) = 0.

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A: The given problem is prove the following complex trigonometric identity using euler identities. The…

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A: Divides the region in two parts .

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A: In the graph we have graphed an ellipse  x252+y232=1

Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

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Q: 1. Find the Fourier series representation of f(x) = { x ² 0, -π< x≤ 0 0<x< T X, **Box your answers…

A: According to guidelines we can solve only one problem.

Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y=x-y² in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs. Thank…

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Which of the following function has the Macularin series (-1)"4"x² [(-1)"4" 1 n=0 A. 1 B. 1 - 2²

A: Given the Macularian series                                 ∑n=0∞-1n4nx2n

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A: Note: As per our policy, we are allowed to answer only first two part of question kindly post…

Q: Use spherical coordinates to evaluate the integral •√₁-x² √√₁-x²-x² (x² + y² + ²)dzdydx.

A: To evaluate the integral using spherical co-ordinate system :-

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A: h(x)=(x+3)(x-2)(x-2)funtion is not defines for x=2 ,and for x≠2 h(x)=(x+3) which is a linear…

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A: Find the slope of the tangent to the curve x2+y2=25 at (3,4). 2x+2ydydx3,4=0dydx3,4=-xydydx3,4=-34

Q: Example 10.17. Apply Runge-Kutta method to find approximate value of y for x = 0.2 in steps of 0.1,.…

A: Probem is solved using runge kutta method.

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Q: Show that the compactness in satability theorem is neccessary.

A: The Stability Theorem fails when X is not compact

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A: LetI= ∫-2-1dxx+2substitute u =x+2⇒du=dxLower limit: when x =-2u =-2 + 2 =0Upper limit : when x =-1u…

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Q: 4. Show that a sublinear functional p satisfies p(0) = 0 and p(-x) ≥-p(x).

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Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, 3 are positive…

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Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?

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Q: Example 10.10. Using modified Euler's method, find an approximate value of y when x = 0.3, given…

A: We can solve this using given information

Q: Example 8.13. Use Simpson's 1/3rd rule to find dx by taking seven ordinates.

A: Here we have y=f(x)=e-x2 now to take seven ordinate means n=6  (6 intervals) then step size…

Q: DIE the solution. оn If ind a) зхун 6 x2y! +12 xy=ex+о I the value

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…