Find an Equation for the Line Tangent to the Curve $$x = \sin t , y = 6 \sin t , t = \frac { \pi } { 3 }$$

question 68

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$x = \sin t , y = 6 \sin t , t = \frac { \pi } { 3 }$$

• A) \(y = - 6 x + 6 \sqrt { 3 }\)
• B) \(y = 6 x\)
• C) \(y = 6 x - 6 \sqrt { 3 }\)
• D) \(y = 6 x + \frac { \sqrt { 3 } } { 2 }\)

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Definitions:

Real GDP

Real GDP measures the value of all final goods and services produced within a country’s borders in a specific period, adjusted for inflation.

Aggregate Supply Curve

A graphical representation that shows the total quantity of goods and services that producers in an economy are willing to supply at different price levels during a specific time period.

Total Investment

Total investment refers to the sum of all expenditures on capital goods by businesses and government within a specific time period.

Keynesian Range

A segment of the aggregate supply curve where output can increase without an increase in price levels, related to Keynesian economics theories.