Solve the Problem $$\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 81 } = 1$$

question 98

Multiple Choice

Solve the problem.
-Find parametric equations for an object that moves along the ellipse 1 with the motion described. $$\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 81 } = 1$$ The motion begins at $( 3,0 )$ , is counterclockwise, and requires 5 seconds for a complete revolution.

• A) \(x = 3 \cos \left( \frac { 2 \pi } { 5 } t \right) , y = - 9 \sin \left( \frac { 2 \pi } { 5 } t \right) , 0 \leq t \leq 5\)
• B) \(x = - 4 \cos \left( \frac { 2 \pi } { 3 } t \right) , y = 6 \sin \left( \frac { 2 \pi } { 3 } t \right) , 0 \leq t \leq 3\)
• C) \(x = - 3 \cos \left( \frac { 2 \pi } { 5 } t \right) , y = - 9 \sin \left( \frac { 2 \pi } { 5 } t \right) , 0 \leq t \leq 5\)
• D) \(x = 4 \cos \left( \frac { 2 \pi } { 3 } t \right) , y = 6 \sin \left( \frac { 2 \pi } { 3 } t \right) , 0 \leq t \leq 3\)

Understand the components and significance of the balance of payments accounts.

Examine how currency valuation affects international investment flows and trade balances.

Understand the transition from the U.S. being a creditor nation to becoming a debtor nation and its implications.

Analyze the relationship between personal savings rates and the current account balance.