Pendulum Problem Calculate the speed of the pendulum with respect to the x axis. Show solution using differential equation What is the position of the ball in the x axis granting initial position at 2m from the origin (center of pendulum) with a length of 10m. The ball is 100kg. Pendulum

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = 1 n = 4, c = 5 %3D Pa(X) =

A: Solved below

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A: Let's find. 

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 %3D P4(x) = %3D

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A: 1.y=1x2+35y=x2+3-5y'=-5x2+3-6×2xapplying chain rule option( d) is correct2.fx=x3-1x+44x-2f'x=3x2x+44...

Q: dy/dx

A: We will perform implicit differentiation. 

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 n = 4, c = 5 x2 f(x) = Pa(x) = %3D

A:

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A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost ...

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A: Find the integral

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A: We will solve the problem 

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A: Given query is to find the general term for the sequence.

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A: The given integral,                ∫0π41-uudu

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A: Extrema

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A: In order to calculate we need to construct the matrices A, X and B and solve them using matrix inver...

Q: 10. The following is a power series except for 00 00 (x – 1)" 00 (2х + 5)3п b. 2n Σ а. (2 — 5х)" nn ...

A: Power series is a series of the form ∑n=0∞ cn(x-a)n

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3

A: The Taylor polynomial at centered at c=3 is given below.

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A: Find your answer below 

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A:

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Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

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A: We need to solve system of linear equation.

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

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