When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

Q: 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).

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Q: (5) Solve for n EN. +2 (a) (3) = }(n+²). 5 n (b) (²) > (^).

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Q: Deduce that if (b) Let a 2 cos 2 and ß = 2 cos 4. Show that a = @ +w4 and B=w² +0³. Find a quadratic…

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Q: 26 E(- 1)"2n - %3D n=0

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Q: Let A = 2 3 4 1-3 5 Find the following: (a) (DA)T and B = 1 5 2 -1 0 1 3 24 and C= (b) 2C+C² 4] 6 -2…

A: The matrixes are :The main aim is to find :a) b)

Q: 1² cu (u + 4)(u - 5) du

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Q: -S₁ (3 + e-") 5(e-3) dt =

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

Q: 4" (x-3)" /n (b) (-1)" n=1

A: INTRODUCTION: The radius of convergence is half the length of the convergence interval. If the…

Q: If x=√√ 1-t and y=-3t+1³, what is y'? (Α B (C) D -6 (t-1) (t+1) √√1-t 6(1²-1) √√1-1 -3 (1²-1) √√1-1…

A: x=1-ty=-3t+t3y'=dydx=dydtdxdtdtndt=ntn-1

Q: 4. Determine constants a, b, c, d and e that will produce a quadratic formula Lf(x)dx = af(-1) +…

A: Given that,  To hold for polynomials Plugging these into the formula.…

Q: X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a)…

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Q: 5. If Z1 = V3 – 2i, Z2 = -i+1 and Z3 = 4i – 2. Evaluate (i) Re{3Z} – 5Z7 + 2Z}} (ii) |(1+ Z2+ Z3)(i…

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Q: 7. Show that I (A)(3)(2)("-") = 1 (2π)(m-1)/2 m

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Q: Write the general solution of the ODEs by finding two power series solutions about the ordinary…

A: The differential equationTo find the series solution about x=0, ordinary points.

Q: If the general solution of (2+²-3y2) y'= 2xyżsy"In|y"+xª = Cy", what is the value of b? (A) 3 B 2 -1…

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Q: 1. Find arg z. (a) z = -3+ 4i (b) 一) + V3i 1 – V3i 3 z =

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Q: Find all exact solutions to 3sin²(0) – 7sin(0 ) + 2 = 0

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Q: Find the general solution of EonC(2)'y/n-1),

A: ∑i=0nnCi(2)iy(n-i)

Q: 4. Given that z₁ = 1-5i and 22 = 3 + 4i, find (a) Z1/Z2 (b) Z1/Z2 (c) 21/Z2

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Compute the following: (a) Arg((v3+ i)"). (b) The solution to (3 – 4i)z = 11 + 2i write the answer…

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Q: (a) e2tsin (wt +t/6)

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Q: 11. Solve x² - x - 2 in Z3[i] = {a + bi : a, b € Z3}.

A: We have to find solution of x2 - x - 2 over Z3[i]. We know that  Z3[i] = { 0, 1, 2 , 1+i , 2 + i ,…

Q: b) y(4) + y(3) – 7y(2) – y' + 6y = 0. c) y(4) – y(3) – 7y(2) + y' + 6y = 0.

A: Solve the given differential equation Here I am giving answer of 1 st problem if you want answer of…

Q: Q2) n(x) = x1 , kx) = (x – 1)/2 , %3D %3D | 1-(8 + x) Find a formula for ( monok).

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Q: Write the following in the form of: r(x) if s(x)+0 P(x) = q(x)+- S(x) s(x) x'+3x +5 (a) x' +2x' +x -…

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Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

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Q: 3. 2хydx - (3xу + 2y?)dy %3D0 o (x - 2y)*(2x +y) = c O (x - y)*(x + y) = c (х + 2y)(2x - у)*- с о…

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Q: -Suppose-Z₁ =3+2i, z₂ =4−5i . Calculate-|6z₁ - 9z₂|

A: AnswerGiven complex numbers z1=3+2i and  z2​=4−5i, we want to calculate the modulus of the…

Q: The population ( in hundreds) of fish in a pond is given by P (t) = 2t+sin(2t - 10) t months from…

A: By the Bartleby Authoring Guidelines, we can answer only first question in case of multiple…

Q: Write in factored form. Determine the x-intercepts. y = x². - 1

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Q: (Зх — 1) (x² – 1) A B (x + 1) (x – 1) A = %3D В (Зх — 1) dx (x² – 1) - +C -

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Q: ( 2(x +1)cx = 3 If then a equals ?

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Q: y=In [e 7* (x° + 5) (x³ + 8x)] d [In [e 7* (x³ + 5) (x° + 8x) ]] = ] dx

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Q: (:) () -0. -6-1 a) i) If A = 2. and B = 5-2 Calculate:- B'(2A) =

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*)…

A: we have to find the solution of  given differential equation.

Q: Question 6. Let A D = 2 -1 3 0 4 1 -3 03 4 -5 2 7 1₁.- [ 0 -1 3 04 03 -2 2 [249] and E= 1 C = 2 0 4…

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