Asked by Anonymous
The circle defined by the equation x^2 + y^2 = 18 has two points where the slope of its tangent line is m=1. Find those points.
Answers
Answered by
Damon
LOL, sketch a graph !
Answered by
Steve
Good idea. However, in an attempt to use your math, and also to apply to a possibly more general problem later, try implicit differentiation:
x^2 + y^2 = 18
2x + 2yy' = 0
y' = -x/y
So, if -x/y = 1 and x^2+y^2 = 18,
2x^2 = 18
x = ±3
Now, figuring y should not be too hard.
x^2 + y^2 = 18
2x + 2yy' = 0
y' = -x/y
So, if -x/y = 1 and x^2+y^2 = 18,
2x^2 = 18
x = ±3
Now, figuring y should not be too hard.
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.