A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Loser66

  • one year ago

For what value of b is the line y = 10x tangent to the curve \(y= e^{bx}\) at some point in the xy plane? Please, help

  • This Question is Closed
  1. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Options: 1) 10/e 2) 10 3) 10e 4) \(e^{10}\) 5) e brb

  2. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[y=10x \\ \text{ means } y'=10 \text{ at some point } (m,n) \\ \text{ so we have the following } \\ n=10m \\ 10=be^{bm} \\ n=e^{bm} \\ \\ \text{ multiplying } n=e^{bm} \text{ on both sides by b gives us } bn=be^{bm} \\ \implies nb=10 \implies b=\frac{10}{n} \implies b=\frac{10}{10m}=\frac{1}{m} \\ \text{ going back to } n=e^{bm} \text{ we have} n=e \\ \text{ so } m=\frac{n}{10}=\frac{e}{10} \text{ and so } b=\frac{1}{m}\] one last thing to do and I leave it to you

  3. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    http://www.ets.org/gre/subject/about/content/mathematics if anyone is curious these are gre practice questions loser got me wanting to take this practice test buy I kind of got bored with them :p

  4. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Not trying to imply they are easy just got bored testing myself :p

  5. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks a lot. :)

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.