Find the Interval on Which $f ( x ) = x + \cos x , 0 \leq x \leq 2 \pi$

question 181

Multiple Choice

Find the interval on which $f ( x ) = x + \cos x , 0 \leq x \leq 2 \pi$ is increasing.

• A) \(\left[ \frac { \pi } { 3 } , \frac { 5 \pi } { 3 } \right]\)
• B) \(\left[ 0 , \frac { \pi } { 3 } \right]\)
• C) \(\left[ \frac { 5 \pi } { 3 } , 2 \pi \right]\)
• D) \(\left[ 0 , \frac { \pi } { 2 } \right]\)
• E) \(\left[ \frac { \pi } { 2 } , \frac { 3 \pi } { 2 } \right]\)
• F) \(\left[ \frac { 3 \pi } { 2 } , 2 \pi \right]\)
• G) \([ 0 , \pi ]\)
• H) \([ \pi , 2 \pi ]\)

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Definitions:

Closing Entry

Journal entries made at the end of an accounting period to transfer temporary account balances to permanent accounts.

Capital Balances

The amount of owners' equity or shareholders' equity in a business, reflecting the residual assets after deducting liabilities.

Share of the Profit

The portion of a company's earnings allocated to each outstanding share of common stock, illustrating the company's profitability on a per share basis.

Average Capital Balances

An average of the various amounts of capital held in an account over a specific period, often used to calculate interest or allocate profits and losses in partnerships.