Find the Polynomial of Lowest Degree That Will Approximate $F ( x )$

question 366

Multiple Choice

Find the polynomial of lowest degree that will approximate $F ( x )$ throughout the given interval with an error of magnitude less than than $10 ^ { - 3 }$ .
- $$\mathrm { F } ( \mathrm { x } ) = \int _ { 0 } ^ { \mathrm { x } } \tan ^ { - 1 } \mathrm { t } ^ { 2 } \mathrm { dt } , [ 0,0.75 ]$$

• A) \(\frac { x ^ { 3 } } { 3 } - \frac { x ^ { 7 } } { 7 }\)
• B) \(\frac { x ^ { 3 } } { 3 } - \frac { x ^ { 7 } } { 21 } + \frac { x ^ { 11 } } { 33 }\)
• C) \(\frac { x ^ { 3 } } { 3 } - \frac { x ^ { 7 } } { 21 }\)
• D) \(\frac { x ^ { 3 } } { 3 } - \frac { x ^ { 7 } } { 21 } + \frac { x ^ { 11 } } { 231 }\)

Recognize the importance of cooperative goals and attitudes in conflict resolution.

Understand the mechanisms of heating in the Earth's atmosphere, including the role of long-wave radiation.

Analyze trends in atmospheric composition and their environmental implications, focusing on greenhouse gases.

Identify and describe various desert features and their formation processes.

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Definitions:

Balance Sheet

A statement of finances that shows the assets, liabilities, and equity of shareholders of a corporation at a certain moment.

Revenue Account

An account that tracks the income earned from normal business operations, such as sales of goods or services, distinguished from other types of income.

Withdrawal Account

A withdrawal account is an account in a partnership or sole proprietorship from which an owner can withdraw his or her share of the business profits.

Closing Process

The closing process involves summarizing revenue and expense accounts and transferring net income or loss to owner's equity to prepare the company's books for the next accounting period.