Asked by Dloc
The slope of the tangent to a curve at any point (x, y) on the curve is -x/y . Find the equation of the curve if the point (3,-4) on the curve.
Answers
Answered by
Reiny
you might have noticed that if we find dy/dx for a circle of the form x^2 + y^2 = r^2 we get
2x + 2y dy/dx = 0
dy/dx = -2x/(2y) = -x/y
So we had a circle of the form x^2 + y^2 = r^2
plug in the given point to find r^2
and you are done.
2x + 2y dy/dx = 0
dy/dx = -2x/(2y) = -x/y
So we had a circle of the form x^2 + y^2 = r^2
plug in the given point to find r^2
and you are done.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.