1 3. Let f(x) : 1- x (b) Give the general formula for the n-th derivative of f. (c) Prove that your formula is correct for all n ENusing a proof by induction.

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Q: IV. Determine if the given is convergent or divergent. sin(2 tan-1n – TI) Σ (2 tan-1n – Tt) #3. n=1

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Q: IV. Determine if the given is convergent or divergent. sin(2 tan-1n – T1) (2 tan-1 n – T) #3. n=1

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Q: Example 12 Given the function f (x) = In cos x. Obtain the Maclaurin's expansion for f (x) till the…

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Q: 1.1. Compute the Fourier series for f(x): f(x) = {, - 2 <x<0 0<x<2

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A: Given: f(x)=x3sin3xcos3x f(x)=x3sin3xcos3x=x32·2sin3xcos3x=x32sin23x…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: