Find the Work Done by F Over the Curve in the Direction

question 50

Multiple Choice

Find the work done by F over the curve in the direction of increasing t.
- $$\mathbf { F } = \mathrm { zi } + 3 \mathrm { x } \mathbf { j } + 6 y \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { ti } + \mathrm { tj } + \mathrm { t } \mathbf { k } , 0 \leq \mathrm { t } \leq 1$$

• A) \(W = 5\)
• B) \(W = \frac { 15 } { 2 }\)
• C) \(W = 15\)
• D) \(W = 30\)

---

Definitions:

Cash Dividend

A payment made by a company to its shareholders, usually as a distribution of profits.

Net Income

The total profit or loss of a company after all revenues, expenses, and taxes have been accounted for, typically reported on an income statement.

Trading Securities

Financial securities that are purchased by a company not for long-term investment but rather for the purpose of selling them in the short term to generate profit.

Fair Value

Fair value is an estimate of the market value of an asset or liability, based on current prices in an active market or through valuation techniques.