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onegirl
 2 years 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]
onegirl
 2 years 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]

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onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0@experimentX how would i do this one?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1let f(x) = sin(x) then f'(x) = ?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1when is cos(x) zero?

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0zero? you said find the derivative of sinx right?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... at what point is cos(x) equal to zero?

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0there is not point where it is equal to zero

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0when i graph it...it doesn't

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1you got the wrong graph then.

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1363197320465:dw thats how it looks liek ohh okay

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363197334937:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363197397226:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1so ... what's the point?

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

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363198158808:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1so pick any two points above pi/2 and below pi/2

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

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363198343133:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363198401986:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363198546707:dw do you get that?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1Okay i gotta go ...

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363198676612:dw

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0So 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

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

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0can u tell me if i plugged it right @experimentX ?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes that's correct.

experimentX
 2 years ago
Best 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.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1huh .. do it again, what is sin(pi/4) ... plug into wolfram.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... plug into your Rolle's condition.

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0so f(1/sqrt(2)  f(1/sqrt(2)/ 1/sqrt(2)  1/sqrt(2) ?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363384214639:dw

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0so it will be 3/3 right?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363384415083:dw

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0so those will be the numerator?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... you just found out the value. Do you know what is functional notation?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yeah ... 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)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yep ... if f(x) = sin(x) ,,, then what is f(pi/4) ??

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... what is f(3pi/4) ??

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0its the same 1 over sqrt(2)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... plug in those values in dw:1363385976116:dw

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0plug them in the denominator?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363386098600:dw

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0f(1/sqrt(2)  f(1/sqrt(2) over 3pi/4  pi/4

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

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0you said to plug them in?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes .. dw:1363386528821:dw

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0i'll ask my teacher on this one thanks for your help.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363387122187:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1no ... you just calculated those values. plug them in.

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0I just did and you told me it was incorrect..i'm confused

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... this is where you got confused.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363387985440:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1what is the value ofdw:1363388256685:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... so dw:1363388362361:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yes ... is there a point where derivative is zero?

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1what is that point?

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

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0so it reached 0 at pi/2

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1no ... the derivative is zero at pi/2

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1gotta go ... you gotta work harder.

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0ok well can u tell me what i should do next before you go

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1you wanted to verify Rolle's theorem, which you did.

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0yea its continuos and differentiable i know that

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1what do you want to do?

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.0so this could be true a < c < b

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363389508215:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1363389556563:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1see you around ... gotta go offline :)
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