- A) X = 13t, Y = T, Z = T

question 6

Multiple Choice

$\text { For the smooth curve } r ( t ) \text {, find the parametric equations for the line that is tangent to } r \text { at the given parameter value } t = t _ { 0 } \text {. }$
- $$\mathbf { r } ( \mathrm { t } ) = \left( 4 \mathrm { t } ^ { 2 } - 3 \mathrm { t } \right) \mathbf { i } + ( \mathrm { t } + 7 ) \mathbf { j } + \mathbf { k } ; \mathrm { t } _ { 0 } = 2$$

• A) x = 13t, y = t, z = t
• B) x = 10 + t, y = t, z = t
• C) x = 10 + 13t, y = 9 + t, z = 1
• D) x = 10 + 13t, y = 9 + t, z = 0

---

Definitions:

Implicit Costs

The opportunity costs of using resources owned by the firm for its own production instead of selling or renting them to others.

Interest Rate

The price, calculated as a percentage of the amount borrowed, that a lender charges a borrower for the use of their savings for one year.

Salary

A fixed regular payment, typically paid on a monthly or biweekly basis but often expressed as an annual sum, made by an employer to an employee.

Explicit Cost

Direct payment made to others in the course of running a business, such as wages, rent, and materials.