Calculate following derivative if y(t) 21-3 + 712. (Use symbolic notation and fractions where needed.) d y dt2 |t=2

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A: We will use the formulae of Laplace transform of derivatives of a function.

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A: Explanation of the answer is as follows

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A: Interval

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A: Solving

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A: This question can be solved using the concept of second order derivative.

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A: To find the taylor polynomial p1(x) .

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A: According to our guidelines we can answer only one question or 3 subparts of a question, other…

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A: Given

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A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

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A: 9)z2-2xz=16differentiating w.r.t. x;2z ∂z∂x-2z(1)-2x ∂z∂x=0(z-x)∂z∂x=z∂z∂x=zz-x

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A: According to our company's guidelines I can only answer first question, since you have asked…

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