+1493 I need help!
What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{3}} (x^2 - 7 + 2x)?
+410 Let the point be (x, y)
You want the minimum of
\(\sqrt{x^2+y^2}\)
and
\(y = \frac{1}{\sqrt{3}} (x^2 - 7 + 2x)\)
Substitute y in, then use differentiation to find the minimum value of x
The value is about 1.82843 at x = 1.82843
