Use the method of variation of parameters to solve the initial value problem x'=Ax + f(t), x(a)=x, using the following values. 4²-et-²+et A= -2 f(t)= 16e¹ 25¹ x(0) =

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Q: If y = a³ + e*, find y(4) when a = 0

A: Given: y=x3+ex   As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And…

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A: On solving this we will get

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Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

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A: Given function Where

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Q: f(x)= 3x2 -2, find f '(-2) O -12 none of these answers O 12 6x

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Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

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A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Referto Forcion TOF nctior fCx)=X+4 (+) a cx)=2x²+2x

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Q: If f(x) = 18x2 + 96 3 ³√√x' find f'(8).

A: Given Function:- fx=18x23+96x3

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Q: Given f(x)=-25sin (Sx) and f₁0) = -5 and f(0) = 4 Find F(1) 2

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Q: y' = (1 − x²)²; y(15) = 149,645

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A: f'(x)=8x3+16x+6f(1)=-3∫xndx=xn+1n+1+c

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A: Given that  and .The aim is to find the two possible equations for .

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: solve for x if CDy=4(x-E)

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