Find the first four nonzero terms of the Taylor series about 0 for the function f(x) = √1 + x cos(6x). Note that you may want to find these in a manner other than by direct differentiation of the function. √1 + x cos(6x): +... = 1 + 1/2x +-145/4x^2 +

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A: We will find out the required term.

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Q: 7a) Find the first four derivatives of f(x) = and evaluate at x = 1. 7b) Find a formula for the nth…

A: We are given : f(x)=1x2⇒f'(x)=-2x3⇒f''(x)=(-2)(-3)x4=6x4⇒f'''(x)=-24x5⇒f''''(x)=120x6Now, at…

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Q: find 5 th terms of the function{ sin(2x) }using Taylor series at a= pi/6

A: We will find out the corresponding term.

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Q: (14). . Find the first fuer terms of the Taylor Series for the function flx)= ex9 ○メ=o.

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