Find the equations of the tangents to the given curve that pass through the point (15, 15).
I isolated t from x:
Plugged it into the y equation:
Then found the the derivatives of y:
Plugged in when x and y are equal to 15:
So I found my two equation to be:
But these aren't the right answers. Any suggestions?
I just wanted to revive this, being that I have a similar question on my homework. There are two tangents, and I can't find the answer anywhere on the internet. The key factor is that the tangent to the curve only has to pass through the point listed, not be tangent to the curve at that point.
For this equation, which looks like "<" there will be two tangents that pass through that point.
If clarification is needed, you can consult a graphing calculator to see that two DIFFERENT tangents to the curve will pass through the point listed. I need to find both equations.