Using Green's Theorem, Calculate the Area of the Indicated Region

question 139

Multiple Choice

Using Green's Theorem, calculate the area of the indicated region.
-The astroid $\mathbf { r } ( \mathrm { t } ) = \left( 5 \cos ^ { 3 } \mathrm { t } \right) \mathbf { i } + \left( 5 \sin ^ { 3 } \mathrm { t } \right) \mathbf { j } , 0 \leq \mathrm { t } \leq 2 \pi$

• A) \(\frac { 75 } { 8 } \pi\)
• B) \(\frac { 75 } { 4 } \pi\)
• C) \(2 \pi\)
• D) \(\frac { 75 } { 16 } \pi\)

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