Solve the Initial Value Problem for X as a Function $$( t + 4 ) \frac { d x } { d t } = x ^ { 2 } + 1 , \quad t > - 4 , x ( 1 ) = \tan 1$$

question 220

Multiple Choice

Solve the initial value problem for x as a function of t.
- $$( t + 4 ) \frac { d x } { d t } = x ^ { 2 } + 1 , \quad t > - 4 , x ( 1 ) = \tan 1$$

• A) \(x = \tan [ \ln | t + 4 | - \ln 5 ]\)
• B) \(x = \tan [ \ln | t + 4 | - \ln 5 + 1 ]\)
• C) \(x = \tan ^ { - 1 } [ \ln | t + 4 | - \ln 5 + 1 ]\)
• D) \(x = \frac { 1 } { t + 4 } - \frac { 1 } { t - 5 }\)

Comprehend the significance of both upward and lateral influence for a leader in securing benefits and resources, and effectively representing team interests.

Acknowledge the impact of external constraints such as labor laws on leadership decisions and actions.

Appreciate the role of task and external behaviors in ensuring coordination within and outside the leader's work unit.

Understand the various leadership processes and problems, including common process problems and methods leaders develop their agendas.

---

Definitions:

Variable Costs

Costs that vary directly with the level of production or a company's output, such as materials and labor.

Fixed Costs

Costs that do not change with the level of production or sales, such as rent, salaries, and insurance premiums.

Marginal Costs

The increase in total cost that arises from producing one additional unit of a good or service.

Output

The amount of goods or services produced by a company, industry, or economy within a certain period.