Find the Inverse Laplace of the following 6s – 4 s2 – 4s + 20 2e-24 cos 4t + 8e " sin4t Option 3 None of the Choices 2et cos 4t + 8e²sin4t 6e cos 4t + 2e-ª sin4t Option 2 Option 4 6et cos 4t + 2et sin4t Option 1

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A: To integrate.

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Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

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Q: DEFINITION

A: We will find the Laplaces Transform.

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A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n

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A: we have to find the interest rate

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A: Given: y=5x, y=3x^2

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A: topic- ellipse

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A: Solved below.

Q: I. Find əx and and (whenever possible) for the following functions. az ne ду 1) w%3D 5x*у — 11ху3 +…

A: 2). The given function is: w=2ytan2x+y-3xsecx2y3   As we know that; The Power law: ddxxn=nxn-1 The…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Arc length of the parametric curve :                 L = ∫αβ dxdt2+dydt2 dt.

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A: Given query is to find series converges or diverges.

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A: The solution is given in the next step.

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Q: S e6m sin m dm Integration by Parts

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A: I have authority to answer only one question, so  I am posting answer for 1 st question

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A: answer is in next step

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

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A: The given expression is: fave=1b-ad-c∫∫Rfx,ydA And fx,y=xy2x2+1 and R=x,y|0≤x≤1, -3≤y≤3 So, a=0,b=1…

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A: answer is in next step

Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: 1. Find the equation of the plane containing the lines L1 and L2 given below: z = 4t + 3 z = -4s – 1…

A: Given :L1:  x=2t+1, y=3t+2, z=4t+3L2 : x=s+2, y=2s+4, z=-4s-1

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Q: I just want to confirm if my solution is right. Please check. If not, please correct me.

A: You have done a mistake which I have shown in step 3 of this solution. Kindly go through it.

Q: (2) Evaluate the iterated integral by converting to polar coordinates. 2 v8-yz Vx2 + y² dx dy o y

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