Evaluate the Integral A) $2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } + 3 \pi + 4 } { 2 } \right) j \mathbf { j } + 10 ( 1 + \sqrt { 2 } ) \mathbf { k }$

question 83

Multiple Choice

Evaluate the integral.
- $$\left. \int _ { 0 } ^ { \pi / 4 } \left[ \left( 2 \sec ^ { 2 } t \right) \mathbf { i } - ( 3 + \sin t ) \mathbf { j } - ( 10 \sec t \tan t ) \mathbf { k } \right) \right] d t$$

• A) \(2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } + 3 \pi + 4 } { 2 } \right) j \mathbf { j } + 10 ( 1 + \sqrt { 2 } ) \mathbf { k }\)
• B) \(2 \mathbf { i } + \left\{ \frac { 2 \sqrt { 2 } - 3 \pi - 4 } { 2 } \right) j + 10 ( 1 - \sqrt { 2 } ) \mathbf { k }\)
• C) \(2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } - 3 \pi - 4 } { 4 } \right) \mathbf { j } + 10 ( 1 - \sqrt { 2 } ) \mathbf { k }\)
• D) \(2 \mathbf { i } + \left( \frac { 2 \sqrt { 2 } - 3 \pi - 4 } { 2 } \right) j \mathbf { j } + 10 ( 1 + \sqrt { 2 } ) \mathbf { k }\)

---

Definitions:

Consolidated Balance

A financial statement that combines the assets, liabilities, and equity of a parent company and its subsidiaries into one report.

Partial Equity Method

An accounting method used when an investing entity has significant influence but not full control over the investee, involving recording investments at cost and adjusting for the investor’s share of periodic net income or loss of the investee.

Dividends Received

Income received by investors, typically shareholders of a corporation, from the profits of the company.

Investee

A company in which another entity has invested, granting the investor a level of influence or control over its operations.