February 22, 2017

Homework Help: last calc question, i promise!

Posted by jane on Friday, February 20, 2009 at 12:26am.

given the curve x + xy + 2y^2 = 6...

a. find an expression for the slope of the curve.
i got (-1-y)/(x + 4y) as my answer.
b. write an equation for the line tangent to the curve at the point (2,1).
i got y = (-1/3)x + (5/3).

but i didn't any answer for c!
c. find the coordinates of all other points on this curve with slopes equal to the the slope at (2,1).

do i just set (-1-y)/(x+4y) equal to -1/3?

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