A= 5 2 -1 53 -1 3 ○ 2

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: Please see the attachment

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A: 1) Area of the region R is integration of 3 from -1 to 4 - integration of (1 - x2)from -1 to 1 -…

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A: Please see the attachment

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A: Solution:-when writing a matrix in row echelon form using gaussian elimination,

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A: Given :  T : V→V be a linear operator on a finite dimensional space V.  And c1 , c2 , ..., ck be the…

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A:

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A:

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A:

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A: # since the lengths AC and FD is not same, so considering the triangles are similar, △ABC≈△DEF

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A:

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A:

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A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

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A:

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A: Solution : given, Rate of bugs growing = 0.95 bug/second volume of a bug =0.002 unit I) number of…

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A: Solution : To prove- ∫BfdV=∫T∫g1(x)g2(x)f(x,y)dy dV(x) B={(x,y) : x∈T,g1(x)≤y≤g2(x)} apply set B…

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A: Here we can use the following formula  If z=fx,y, thendz=fx dx+fy dyδzδy=fx δxδy+fy

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A: Improved Euler (heun's) method  Replace x with t

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A: We will draw the figure and use integral to find mass and moment .Then will find center of mass

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A: The given relation is: Φ(n)=∑d|nϕ(d).....................(i) where ϕ(n) is the Euler's phi function.…

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A: We will integrate both sides separately and then equate them to create equation . At end solve for y…

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A:

Q: (4) In finance, a zero coupon bond is a contract that pays out one dollar at maturity. The problem…

A: F(t,r;λ)=e-aϕ(t)-rψ(t)F(0,r;λ)=e-λr=e-aϕ(0)-rψ(0)⇒ϕ(0)=0⇒ψ(0)=λ put F(t,r;λ) in given differential…

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A:

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A: Solution

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A: .

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A: There are may formula for Runge-kutta of order two, i use the modified Euler form

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A:

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A: For the given problem the feasible region is region-3 .

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A:

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A: given :- p is an odd prime number and n is positive integer(i.e. n≥1) To prove:- there exist a…

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A:

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A:

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A:

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

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

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A: Given: point A= (1,3) point B=(4,1) projector distance PD=6cm

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A:

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A:

Q: 1. Find the range of the following: a) 150, 250, 825, 400, 18, 500 b) 2.2, 1.8, 5.1, 0.3

A: Solution

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A: The solution is given as

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A:

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A: Solution

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A:

Q: (5+j2)(3≤30º) (6 – j2)

A: Follow the steps.

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A: Some times permutations matrix P not needed.

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A: