A community for students.
Here's the question you clicked on:
 0 viewing
Honour
 3 years ago
If possible, choose k so that the following function is continuous on any interval (equation in post).
Honour
 3 years ago
If possible, choose k so that the following function is continuous on any interval (equation in post).

This Question is Closed

Honour
 3 years ago
Best ResponseYou've already chosen the best response.1\[f(x)=\left[\begin{matrix}kcos(x), & x \le0 \\ 10e^{x}k,&0< x \end{matrix}\right]\]

rebeccaskell94
 3 years ago
Best ResponseYou've already chosen the best response.0I haven't passed 4th grade math yet.

Honour
 3 years ago
Best ResponseYou've already chosen the best response.1Oh that's ok then (= thanks anyhow

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1do you know the basics of continuity ?

Honour
 3 years ago
Best ResponseYou've already chosen the best response.1that the line must contiously go and still be a function (one to one) =P if that's what you mean

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1i meant, if f(x) is continuous, at x=0, \[\lim \limits{x \rightarrow 0^} f(x)=\lim \limits{x \rightarrow 0^+f(x)}\]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1do you you something like that ^ ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1for x>0 , since x<0, select k cos x and put x=0 for x>0+ , since x>0, select 10e^xk and put x=0

Honour
 3 years ago
Best ResponseYou've already chosen the best response.1Honestly that is all I know

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1when x>0, lim kcos x = k cos 0 = k when x>0+, lim 10e^xk = 10e^0k =10 k for continuity k=10k can you find k from here ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1just add k to both sides.
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.