Find the First Four Nonzero Terms in the Maclaurin Series $x - \frac { 1 } { 6 } x ^ { 3 } + \frac { 1 } { 30 } x ^ { 5 } - \frac { 2 } { 315 } x ^ { 7 } + \ldots$

question 380

Multiple Choice

Find the first four nonzero terms in the Maclaurin series for the function.
-sin x cos x

• A) \(x - \frac { 1 } { 6 } x ^ { 3 } + \frac { 1 } { 30 } x ^ { 5 } - \frac { 2 } { 315 } x ^ { 7 } + \ldots\)
• B) \(x - \frac { 2 } { 3 } x ^ { 3 } + \frac { 2 } { 15 } x ^ { 5 } - \frac { 4 } { 315 } x ^ { 7 } + \ldots\)
• C) \(1 + x - \frac { 1 } { 2 } x ^ { 2 } - \frac { 1 } { 6 } x ^ { 3 } + \ldots\)
• D) \(x + \frac { 1 } { 3 } x ^ { 3 } - \frac { 2 } { 15 } x ^ { 5 } + \frac { 4 } { 315 } x ^ { 7 } + \ldots\)

---

Definitions:

Straight-Line Depreciation

An approach to spreading out the expense of a tangible asset uniformly over the asset's operational life on a yearly basis.

Balance Sheet

A balance sheet is a financial statement that provides a snapshot of a company's financial position at a particular time, listing assets, liabilities, and shareholders' equity.

Net Income

Total revenue minus total expenses, indicating the profit earned by a company in a specific period.

Expenses

Costs incurred in the process of generating revenue, typically categorized as operational costs like rent, salaries, and utilities.