Find the Function with the Given Derivative Whose Graph Passes $$r ^ { \prime } ( t ) = \sec ^ { 2 } t - 4 , P ( 0,0 )$$

question 140

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $$r ^ { \prime } ( t ) = \sec ^ { 2 } t - 4 , P ( 0,0 )$$

• A) \(r ( t ) = \tan t - 4 t\)
• B) \(r ( t ) = \sec t \tan t - 4 t - 1\)
• C) \(r ( t ) = \sec t - t - 6\)
• D) \(r ( t ) = \sec t - 4 t - 4\)

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Definitions:

Aggregate Supply

The aggregate amount of products and services that companies in an economy intend to sell over a particular time frame.

Deficit

A financial situation where expenses exceed income or imports exceed exports.

National Debt

The total amount of money that a country's government has borrowed, by various means, to fund its expenditures beyond what it collects in taxes.

Decreasing Rate

A situation where the rate or speed of a process or value is diminishing over time.