Find the Curvature of the Curve R(t) $$\mathbf { r } ( \mathrm { t } ) = ( 3 + \ln ( \sec t ) ) \mathbf { i } + ( 1 + \mathrm { t } ) \mathbf { k } , - \pi / 2 < \mathrm { t } < \pi / 2$$

question 65

Multiple Choice

Find the curvature of the curve r(t) .
- $$\mathbf { r } ( \mathrm { t } ) = ( 3 + \ln ( \sec t ) ) \mathbf { i } + ( 1 + \mathrm { t } ) \mathbf { k } , - \pi / 2 < \mathrm { t } < \pi / 2$$

• A) \(\kappa = - \cos t\)
• B) \(\kappa = \sin t\)
• C) \(\kappa = \cos t\)
• D) \(\kappa = 1 - \cos t\)

---

Definitions:

Master Budget

A comprehensive financial planning document that includes all of a company's budgets, consolidating its income, expenses, assets, and liabilities.

First Quarter

The first quarter (Q1) refers to the first three months of the fiscal or calendar year, typically consisting of January, February, and March.

Master Budget

A comprehensive financial planning document that consolidates all individual budgets related to sales, cost of goods sold, operations, and capital expenditures.

Credit Sales

Sales in which the payment is received after the service is delivered or the goods are sold, typically through an agreement or credit.