Use a Graphing Utility to Solve the System of Equations $$\left\{ \begin{array} { r } x ^ { 3 } + y ^ { 2 } = 2 \\x ^ { 2 } y = 4\end{array} \right.$$

question 6

Multiple Choice

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places.
- $$\left\{ \begin{array} { r } x ^ { 3 } + y ^ { 2 } = 2 \\x ^ { 2 } y = 4\end{array} \right.$$

• A) \(x = - 1.37 , y = 2.14\)
• B) \(x = 1.37 , y = 2.14\)
• C) \(x = 2.14 , y = 1.37\)
• D) \(x = 2.14 , y = - 1.37\)

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Definitions:

Obturator Internus

A muscle within the pelvis that acts to rotate and stabilize the hip.

Gluteus Medius

A muscle located on the outer aspect of the hip, crucial for stabilizing the pelvis and enabling hip abduction.

Tensor Fasciae Latae

A muscle of the thigh that helps to stabilize and move the hip and knee, and is involved in the abduction and internal rotation of the hip.

Tibialis Posterior

A deep muscle of the lower leg that supports the arch of the foot and aids in plantar flexion and inversion of the foot.