Solve the Problem $x = t ^ { 2 } , y = t , * < t < \infty$

question 102

Multiple Choice

Solve the problem.
-Find the point on the parabola $x = t ^ { 2 } , y = t , * < t < \infty$ , closest to the point $\left( \frac { 1 } { 2 } , 54 \right)$ , (Hint: Minimize the square of the distance as a function of $\mathrm { t }$ .)

• A) \(( 0,0 )\)
• B) \(( 36,6 )\)
• C) \(( 9,3 )\)
• D) \(\left( \frac { 9 } { 4 } , \frac { 3 } { 2 } \right)\)

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