Find the Unit Tangent Vector of the Given Curve $T = \frac { 2 } { 3 } \mathbf { i } - \frac { 2 } { 3 } j - \frac { 1 } { 3 } \mathbf { k }$

question 28

Multiple Choice

Find the unit tangent vector of the given curve.
-r(t) = (10 - 2t) i + (2t - 3) j + (10 + t) k

• A) \(T = \frac { 2 } { 3 } \mathbf { i } - \frac { 2 } { 3 } j - \frac { 1 } { 3 } \mathbf { k }\)
• B) \(\mathrm { T } = - \frac { 2 } { 3 } \mathrm { i } + \frac { 2 } { 3 } \mathrm { j } + \frac { 1 } { 3 } \mathbf { k }\)
• C) \(T = \frac { 2 } { 9 } \mathbf { i } - \frac { 2 } { 9 } \mathbf { j } - \frac { 1 } { 9 } \mathbf { k }\)
• D) \(T = - \frac { 2 } { 9 } i + \frac { 2 } { 9 } j + \frac { 1 } { 9 } k\)

Describe the considerations in calculating the Weighted Average Cost of Capital (WACC) for new capital budgeting projects.

Explain the impact of flotation costs and other factors on the cost of new equity.

Recognize the differences between the cost of capital components and the returns paid to investors in the underlying securities.

Understand the importance of market values in maintaining or achieving a firm's capital structure.

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Definitions:

Demand Curve

A graphical representation that shows the relationship between the price of a good and the quantity demanded by consumers.

Consumer Surplus

The gap between the price consumers are ready to pay for a good or service and the price they end up paying.

Market Demand

Represents the total quantity of a good or service that all consumers in a market are willing and able to purchase at various prices.

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