li) 8 x³ + 2x² - 4x - 8 r³+2x² J dr

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A: we know cos C+cos D=2.cos(C+D2) cos (C-D2) 18) cos u+ cos v=2.cos(u+v2) cos (u-v2)

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A: Use Laplace transformation , to solve the initial value problem

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Q: 10) Expresse sin ( ut v/ in terms of sine & coline 11) Write sinu colv as a Sum 12) Write sinusing…

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Q: The partial fraction decomposition of g(x) ²+16 2+3 + f(x)= g(x) = > where -3x²+6x-55 x³ + 3x2 + 16x…

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Q: Solve the system by using the inverse, and verify by Cramer's Rule. 4) 4x1 + 2x2 = -8 2x1 + 9x2 = 12

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Q: [1² dy dx = rdr de rde dr+ √2 rde dr

A: Let x-1=rcosθand y=rsinθ.Now given 1≤x≤2 and 0≤y≤2x-x2.So y=2x-x2⇒x2-2x+y2=0…

Q: a) f(x)=x44 b) g(x)=(3-x+4x²)(2x²- c) h(x) = x² – 3x 2-x²

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Q: 21. Which of the following statements is implied by the true statement AB = N? (a) N÷B=A (d) N-A=B…

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Q: 4) Find the general solution for the following differential equation: y² + 3y=8 = ¹/ 4

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Q: 1) Find the general solution of the homogeneous system below. x1 + 2x2-3x3 = 0 4x1 + 7x29x3 = 0 -x1…

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Q: compute a bound error on the error that you woudl get from ususing T3 ( 2 ) to approcixmate 2^1/3

A:

Q: Find the Taylor polynomial T2(x) for the function f(x)=In(1+x) based at b=0. 1.2 2 T₂(x) = x- Use…

A: Here given function  f(x) = ln(1+x) Now to find  T2(x)