Represent the Following Curve by a Vector-Valued Function $\frac { x ^ { 2 } } { 121 } + \frac { y ^ { 2 } } { 64 } = 1 , x \geq 0$

question 52

Multiple Choice

Represent the following curve by a vector-valued function.
$\frac { x ^ { 2 } } { 121 } + \frac { y ^ { 2 } } { 64 } = 1 , x \geq 0$

• A) \(\mathbf { r } ( t ) = \frac { 11 } { 8 } \sqrt { 64 - t ^ { 2 } } \mathbf { i } + t \mathbf { j } ; 0 \leq t \leq 16\)
• B) \(\mathbf { r } ( t ) = \frac { 11 } { 8 } \sqrt { 64 - t ^ { 2 } } \mathbf { i } + t \mathbf { j } ; 0 \leq t \leq 8\)
• C) \(\mathbf { r } ( t ) = 11 \cos 2 \pi t \mathbf { i } + 8 \sin 2 \pi t \mathbf { j } , \frac { - 1 } { 4 } \leq t \leq \frac { 1 } { 4 }\)
• D) \(\mathbf { r } ( t ) = 11 \cos t \mathbf { i } + 8 \sin t \mathbf { j } ; - \pi \leq t \leq \pi\)
• E) \(\mathbf { r } ( t ) = 11 \cos \pi t \mathbf { i } - 8 \sin \pi t \mathbf { j } ; \frac { - 1 } { 4 } \leq t \leq \frac { 1 } { 4 }\)

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