Xexs is The Laplace inverse of s2+4x? O a. sin(2x(t-1)) 5(r-x)dr 0.

Q: Evaluate f x'V 1+4x² dx.

A: Consider the definite integral ∫01x21+4x2 dx to evaluate this, first evaluate the indefinite…

Q: Eses: Find the derivatives of: 1 In sinx, 2 - sin(lnx), 3 - e-cosx 4 - /cos(3x - 1), 2 - [1+ cos(x?…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: | (cos c+ 1) dc;let x be constant

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Q: In deriving three point formulas, we use Lagrange polynomial. The derivative of L1 at Xo is: Select…

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Q: Which of the following pair of functions linearly independent

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Q: 4 (t) = -5 sin t + 8sec?t – 8 csct cot t + 4et + - 1+

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Q: Evaluate L{t°e! e3(1 – t) 3e-t sin (4t - 2) 2) + t2 $ (3t)} cos

A: Explanation of the answer is as follows

Q: | w(w? + 1)3dw -1 dx х2 sin30cose d0

A: We will answer the first question since exact one wasn't specified, Please resubmit the question and…

Q: Compute 2 sin x dx -2 4 1 -1 2] O O O

A: Answer is- Option 3 is correct Explanation is given below...

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

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Q: Determine for the following function: dy dx y=xヤ ヤャ (3lnx) 十++ 2(3lnx +1) ++e (3lnx + 1) 2(3lnx)

A: dy/dx = ?

Q: 150. dx), V9 – y²dy 3

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Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: fx = 4y sin(x) and fy = 4y + 4 cos(x).

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Q: c) [x* sin (10+x*) ax 20. d) [xVx² +4 dx 2d.

A: As per the bartleby guideline if more than one question is asked only first will be answered kindly…

Q: it メ=う,TLXム2 3TT find: a: sinkx),

A: since you have asked multiple questions in single request so we will be answering only first…

Q: e)f[cot2x√sin2x + cos2x]dx

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Q: dx √x² + 2x + 2 S₁v - = In(√5-2).

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Q: (d) v1+ tan x =1+;x

A: To prove that the following approximation holds, 1+tanx≅1+12x