Kirsten S.
asked • 09/03/16Find the equation of the normal to y=7t^3-4 when it interacts with y=2t+1
Find the equation of the normal to y=7t^3-4 when it interacts with y=2t+1
More
1 Expert Answer
Mark M. answered • 09/03/16
Tutor
5.0
(278)
Mathematics Teacher - NCLB Highly Qualified
7t3 - 4 = 2t + 1
7t3 -2t - 5 = 0
Real solution t = 1.
Point of intersection: (1, 3)
Slope of 7t3 - 4 at t = 1 is 21.
Point slope for normal:
(y - 3) = -1/21(x - 1)
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
David S.
This sounds more complicated than it will end up being as long as you remember some of the algebra you likely learned in high school about finding a solution to a system of two equations with two unknowns; that's how we'll establish where the two functions "interact," which I would take as a code-word for "cross each other," i.e. have the same solutions. We might also need to know a little bit about how to write linear equations that pass through certain points. Let me know if any of this has helped you understand how to start and what might be important to find along the way.
09/03/16