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I have no idea how to do this as i have been absent from class for medical reasons.

the curve $y=3+x^2$ and the line $3x-y=-6$

The answer is a possibility of the following:

a) $ y=3x, y=3x+4$

b) $ y=12x-15, y=12x+17$

c) $ y=-3x+9, y=-3x-16$

d) $y=12x-13, y=12+19$

e) $y=-12x-16, y=-12x+8$

f) $y=3x+5, y=3x+1$

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    Please clarify the question. So you seek a line that is parallel to $3x-y=-6 \Longleftrightarrow y = 3x +6$? Then the only candidates could be lines with the same gradient, i.e. those with a $3x$-term...2012-10-26
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    Sorry, wanted to write "e.g. those with a $3x$-term".2012-10-26
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    As far as I can tell, there is something wrong with this problem. You are looking for tangent lines with slow $3$, but only one tangent line has slope $3$.2012-10-26
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    Why is this tagged as algebraic geometry question? It should be analytic geometry instead.2012-10-26
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    That is all the info. i was given to do the question. My apologies for the incorrect tag but i was rushing when i put this up.2012-10-27

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