For the Curve R(t), Find an Equation for the Indicated

question 116

Multiple Choice

For the curve r(t) , find an equation for the indicated plane at the given value of t.
- $r ( t ) = \frac { 40 } { 9 } ( 1 + t ) ^ { 3 / 2 } \mathbf { i } + \frac { 40 } { 9 } ( 1 - t ) ^ { 3 / 2 } \mathbf { j } + \frac { 10 } { 3 } t \mathbf { k }$ ; osculating plane $a t \mathrm { t } = 0$

• A) \(x - y = 0\)
• B) \(x - y = - \frac { 40 } { 9 }\)
• C) \(x - y = \frac { 40 } { 9 }\)
• D) \(x - y = \frac { 80 } { 9 }\)

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