Find ab and c so that the quadrature formula has the highest degree of precision f(x)dx af (0) - bf (1) + cf (2) a=1/3 b=2/3 c=-1/9 O a=1/3 b=- 4/3 c=1/3 a=1/3 b=-2/3 c=1/9 a=1/3 b=4/3 c=1/3

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Q: cos x – 1 dx = ? 22n (a) E(-1)". 22n+2 (2n+2).(2n+2)! (b) E(-1)". (2n).(2n)! n=1 n=1 22n+1 22n-1 (c)…

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Q: cos x – 1 dx = ? 22n 22n+2 (a) E(-1)". (b) Σ-, (2n).(2n)! (2n +2).(2n+2)! n=1 n=1 22n+1 22n-1 (c)…

A: Given, I=∫02cosx-1xdx I=∫02cosxx-∫021xdx now solve both integral…

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Q: 31. (a) 32. (a) 33. (a) 12x-1| dx √2 + x) dx e* - 1| dx L'i lex -3π/4 (b) cos x dx (b) [*/² | } −…

A: Given: ∫-11ex-1dx

Q: What is the annihilator for y=x e*cos 2x ? (D²+5)2 ® D² +5 © (D²-2D+5)2 D D2-2D+5

A: See the solution.

Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d²y dx2 dy + 9x? + 6х— — бу %3 1+x3 dx

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Q: The point of intersection when the coefficients of dx & dy are equated to zero of the given DE:…

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Q: COS X -1 dx = ? X 22n (a) E(-1)" (b) E(-1)" 22n+2 (2n +2).(2n+ 2)! (2n).(2n)! n=1 n=1 22n+1 (c)…

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Q: c(x, 1) = exp solves ac(x.1) a'cx.1) at

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Q: The point of intersection when the coefficients of dx & dy are equated to zero of the given DE:…

A: Here I am attaching image so that you understand each and every step.

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Q: The equation below is said to be - 1 attachment - (d²y' 3 (dy sin x – x (x² – 1) ( + ye2x+1 dx2 dx,…

A: Given D.E

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Q: Using 3-point and 4-point Gaussian Quadrature, determine approximations for 1 1.5a3 6.12+1.7 dx 1

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Q: 9. dy dx (xy + 1)2

A: We have to evaluate the iterated integral given below: ∫01∫01 xxy+12dydx. First we will evaluate the…

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Given:  The number of cars produced when x dollars is spent on labor and y dollars is spent on…

Q: 1. [5an2f elan 28 sec² 2 Båß 3. e +1 2x e2x +2e* dx e* +1 4. |(30shm +ecoshm' 2.

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Q: If a curve f(x) has = (y – 1) (2+ x) and passes through the point (-1,2), then what is dx the…

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Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

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Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

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Q: What is the annihilator for y=x e*cos 2x ? A (D2-2D+5)2 B (D2+5)2 © D2-2D+5 (D D2 +5

A: A detailed solution is given below.

Q: Given that ƒ(1) = 5, ƒ′(1) = 4, g(1)= 2, and g′(1) = 3, find

A: Given- ƒ(1) = 5, ƒ′(1) = 4, g(1)= 2, and g′(1) = 3. To find- ddxfx·gxx=1 and ddxfxgxx=1  Identity…

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A: The solution is given as

Q: cos x – 1 dx = ? X 22n (a) E(-1)". (b) E(-1)". 22n+2 (2n).(2n)! (2n + 2).(2n+2)! n=1 n=1 22n+1…

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Q: Q# Which of the following is equivalent to: xarctan(5x)dx = -dx 2(1+25x²) A) -arctan(5x) – | 5x B)…

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Q: Find the general function M(x, y) so that the equation is M(x, y) dx + (sin xe ^y + xy) dy = 0

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Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Please refer the attached image for complete solution. THANK YOU.

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Q: • Find solutions using EXact Iquations 1.) solve lysinx t xycosx) dx + (xsinx +1 )dy=D0 tind the…

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