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Check the hypotheses of Rolle’s Theorem and the Mean Value Theorem and find a value of c that makes the appropriate conclusion true. Illustrate the conclusion with a graph. f(x) = sin x , [0,pi/2]
 one year ago
 one year ago
Check the hypotheses of Rolle’s Theorem and the Mean Value Theorem and find a value of c that makes the appropriate conclusion true. Illustrate the conclusion with a graph. f(x) = sin x , [0,pi/2]
 one year ago
 one year ago

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onegirlBest ResponseYou've already chosen the best response.0
@experimentX how would i do this one?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
let f(x) = sin(x) then f'(x) = ?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
when is cos(x) zero?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
zero? you said find the derivative of sinx right?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... at what point is cos(x) equal to zero?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
there is not point where it is equal to zero
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
when i graph it...it doesn't
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
you got the wrong graph then.
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
dw:1363197320465:dw thats how it looks liek ohh okay
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363197334937:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363197397226:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
so ... what's the point?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
http://www.wolframalpha.com/input/?i=plot+cos%28x%29+from+2pi+to+2pi
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
NOOOOOOOOOOOOOOO http://www.wolframalpha.com/input/?i=solve+cos%28x%29+%3D+0+for+x+between+0+and+pi
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363198158808:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
so pick any two points above pi/2 and below pi/2
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
okay? do you do this different than the las tone tho? i'm not gonna use f(a)  f(b)/ b  a ?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363198343133:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363198401986:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363198546707:dw do you get that?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
Okay i gotta go ...
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363198676612:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
So i filled in those a b c's and here i got....f(pi/2) = f(3pi/4)  f(pi/4) over 3pi/4  pi/4
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
f(3pi/4) = 3pi^2 + 1 = ?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
can u tell me if i plugged it right @experimentX ?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes that's correct.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
\[ f(3 \pi /4) = \sin(3\pi/4) = 1/ \sqrt 2 \] Find the value of f(pi/4) from your calculator or wolfram.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
huh .. do it again, what is sin(pi/4) ... plug into wolfram.
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
i got 1 over sqrt of 2
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... plug into your Rolle's condition.
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
so f(1/sqrt(2)  f(1/sqrt(2)/ 1/sqrt(2)  1/sqrt(2) ?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363384214639:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
so it will be 3/3 right?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363384415083:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
so those will be the numerator?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... you just found out the value. Do you know what is functional notation?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yeah ... that is the problem. you haven't advanced to the point of doing this. let f(x) = cos(x), what is value of f(0)
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yep ... if f(x) = sin(x) ,,, then what is f(pi/4) ??
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... what is f(3pi/4) ??
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
its the same 1 over sqrt(2)
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... plug in those values in dw:1363385976116:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
plug them in the denominator?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363386098600:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
f(1/sqrt(2)  f(1/sqrt(2) over 3pi/4  pi/4
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
No no ... what are you dong?? why are you putting 1/sqrt(2) inside function?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
you said to plug them in?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes .. dw:1363386528821:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
i'll ask my teacher on this one thanks for your help.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363387122187:dw
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
so i plug those in pi?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
no ... you just calculated those values. plug them in.
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
I just did and you told me it was incorrect..i'm confused
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... this is where you got confused.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363387985440:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
what is the value ofdw:1363388256685:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... so dw:1363388362361:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
yes ... is there a point where derivative is zero?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
what is that point?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
we talked about that in the above posts. check again ... the point is pi/2
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
so it reached 0 at pi/2
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
no ... the derivative is zero at pi/2
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
gotta go ... you gotta work harder.
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
ok well can u tell me what i should do next before you go
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
you wanted to verify Rolle's theorem, which you did.
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
yea its continuos and differentiable i know that
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
what do you want to do?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
so this could be true a < c < b
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
of course it is ..
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363389508215:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1363389556563:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
see you around ... gotta go offline :)
 one year ago
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