Asked by anonymous
The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at point P and the parabola y=4x^(2)+4x+5 at point Q.
a. If a line tangent to the cubic at point P is parallel to the line tangent to the parabola at point Q, find the value of c where c>0.
a. If a line tangent to the cubic at point P is parallel to the line tangent to the parabola at point Q, find the value of c where c>0.
Answers
Answered by
MathMate
Find the derivative fc(x) of the cubic, and fp(x) of the parabola.
By equating fc(x) and fp(x), we can find the value of x for which their tangents have the same slopes.
If I am not mistaken, c=1.
By equating fc(x) and fp(x), we can find the value of x for which their tangents have the same slopes.
If I am not mistaken, c=1.
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.