6. Find the equation of the line tangent to the following functions ate the given points. a. y = x² at x = 3 3πt b. y = sin x at x == 4

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A: Note: Due to guidelines, I can solve only first 3 sub parts.

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A: x=8+3t2

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A: Explaination of the answer is as follows

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A: To solve the following Cauchy problem.

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A:

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A: Given,.Let assume,

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A:

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A:

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

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A: By changing the variables, to evaluate the following definite integral.

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

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A: Given that the parametric equation

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A: Given,

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A: The given series is

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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A: Given,

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Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

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Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

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A: Given,

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A:

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Q: you alos calculate the following

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A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

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A: Consider the integral

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