- #1
bomba923
- 759
- 0
Ok...well, here goes:
Let's say we draw a slope-field for
\frac{{dy}}{{dx}} = \frac{x}{{k - y + \sqrt {x^2 + \left( {k - y} \right)^2 } }}
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Now, let's say a ray of light traveling in the direction \left\langle {0, - 1} \right\rangle "hits" one of the slope segments we drew. However, each "slope segment" is a actually a short planar mirror!
And so,
*Regardless of which segment this light ray strikes, will the light ray be reflected through the point (0,k) ?
(assuming this ray strikes one and only one "mirror"/slope-segment)
Let's say we draw a slope-field for
\frac{{dy}}{{dx}} = \frac{x}{{k - y + \sqrt {x^2 + \left( {k - y} \right)^2 } }}
---------------------------------------
Now, let's say a ray of light traveling in the direction \left\langle {0, - 1} \right\rangle "hits" one of the slope segments we drew. However, each "slope segment" is a actually a short planar mirror!
And so,
*Regardless of which segment this light ray strikes, will the light ray be reflected through the point (0,k) ?
(assuming this ray strikes one and only one "mirror"/slope-segment)
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