Ask a New Question

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.
15 years ago

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.
15 years ago

Related Questions

Two planes that do not intersect are _____parallel how would you find the intersection of these three lines -209x+323y=28677 88s+1012y=93412 -31x+21... I'm trying to find the intersection point of y=x-2 and y=sqrt(x). I tried letting both equations equ... Do the following lines intersect? If yes, show the the point of intersection, if any. 5x+8y=-5 -x-... Do the following lines intersect? If yes, show the the point of intersection, if any. 5x+8y=-5 -x-... PLEASE HELP!! Explain intersectionality Explain at least one social philosophy from the textbook.... Does the graph (-2, 6) intersect at x+2y=10 and 3x+y=0 How does theatre often intersect with religious and political elements? Which set of equations intersect at (2,–1)? A {y=2x−5y=1−x B {y=2x−1y=1−x C {y=3xy=2x... Which set of equations intersect at (2,–1)? A. B. C. D.
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use