Ask
your own question, for FREE!
Mathematics
29 Online
Show that r(x) = 2x-cos^2(x)+sqrt(2) has exactly one zero on (-inf,inf) I have that the first derivative is: 2+sin2x > 0 on (-inf,inf) Now what? I think I need to use the Intermediate Value Theorem to show that there's at least one zero on the interval, and then Rolle's Theorem to show there's exactly one zero on the interval, but I'm not sure where to start.
Still Need Help?
Join the QuestionCove community and study together with friends!
no you don't need any such thing.
function is continuous for sure, and since the derivative is positive that tells you it is always increasing
so find some value that gives a negative number, one that gives a positive number, and since it is continuous it must be zero somewhere. also because it is increasing it cannot be zero more than once
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
breiadabrattzz:
One day I became the coal to his emotions I used to look at the waves from the oc
ShadowKid3:
I have a question about basic "rules" of art and want to know what tips or "rules" and such I can use to make my drawings better, thank you.
Strawberriesrgud7:
Second poem I post on here! Hope I did better than last time! -------------------
Graysonunderwoods:
"When children are young, they're told not to talk to strangers, and when they go
theydontknowmelly:
A poem I wrote (lmk your thoughts!!) Life is bright and mysterious it is wild and free, with lots of highs and lows, turns and swirls, a story from a start
gelphielvr:
(algebra 1) linear relationships, slope, table hii I need help getting started &
gelphielvr:
(finance) When using credit, the purchase amount becomes what once the payment agreement is made? A.
Thayes1287:
How to let's say someone is mad at you how do you go about fixing it? ESPICALLY I
ThanosQC:
Looking for feedback- can't seem to get this right. And no, I did not play this IRL, I composed it via DAW.
47 seconds ago
7 Replies
1 Medal
5 minutes ago
4 Replies
0 Medals
4 minutes ago
5 Replies
1 Medal
5 hours ago
2 Replies
0 Medals
2 hours ago
8 Replies
4 Medals
9 hours ago
3 Replies
1 Medal
11 hours ago
7 Replies
3 Medals
11 hours ago
3 Replies
2 Medals
1 hour ago
9 Replies
4 Medals