At what points does the line y
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Let L whose be a straight line in the xy-plane whose equation is of the form
y - 8 = m(x - 2).
(a) Determine all the points in the xy-plane where the line L intersects the curve y = 2x^2 .
(b) Using the results of Part (a), determine whether there are any values of m such that L intersects the curve y = 2x^2 in exactly one point.
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Line Intersection Problem
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Let L whose be a straight line in the xy-plane whose equation is of the form
y - 8 = m(x - 2).
(a) Determine all the points in the xy-plane where the line L intersects the curve y = 2x^2
The line y - 8 = m(x - 2) can be rewritten as y = mx - 2m + 8.
Set the y's from the line and the curve equal to each other and solve for x:
mx - 2m + 8 = 2x2
0 = 2x2 - mx + (2m ...
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