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Find the Coefficient Of x4x ^ { 4 } In the Maclaurin Series For

question 31

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Find the coefficient of x4x ^ { 4 } in the Maclaurin series for f(x) =xcos(x3) f ( x ) = x \cos \left( x ^ { 3 } \right) .

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Definitions:

Annuity Due

An annuity due is a series of payments made at the beginning of each period in the cycle, such as monthly rent payments, as opposed to at the end of the period.

Present Value

The current value of a future sum of money or stream of cash flows, given a specified rate of return.

Compound Interest

The addition of interest to the principal sum of a loan or deposit, where the interest that has been added also earns interest.

Equal Payments

A repayment structure where payments are the same amount each period, as seen in some loans and mortgages.

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