$\text { For the curve } r ( t ) \text {, write the acceleration in the form aTT } + \text { anN. }$

question 78

Multiple Choice

$\text { For the curve } r ( t ) \text {, write the acceleration in the form aTT } + \text { anN. }$
- $$\mathbf { r } ( \mathrm { t } ) = ( \mathrm { t } + 1 ) \mathbf { i } + ( \ln ( \sec t ) - 9 ) \mathbf { j } + 9 \mathbf { k } , - \pi / 2 < \mathrm { t } < \pi / 2$$

• A) \(\mathbf { a } = ( \cos t ) \mathbf { T } + ( \cos t ) \mathbf { N }\)
• B) \(a = \left( \sec ^ { 2 } t \right) T + ( \cos t ) \mathbf { N }\)
• C) \(\mathbf { a } = ( \csc t ) \mathbf { T } + ( \sec t ) \mathbf { N }\)
• D) \(\mathbf { a } = ( \sec t \tan t ) \mathbf { T } + ( \sec t ) \mathbf { N }\)

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Definitions:

Total Fixed Costs

The sum of all costs associated with the production of goods or services that do not change with the level of output, such as rent, salaries, and equipment maintenance.

Fixed Costs

Fixed costs are business expenses that remain constant irrespective of the level of goods or services produced, such as rent, salaries, or loan payments.

Output

The total amount of goods and services produced by a firm or country.

Average Fixed Costs

The fixed expenses of a business divided by the number of units produced, demonstrating how those costs dilute with increased production.