anonymous
  • anonymous
need help on the attachment
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
come on no has helped you with this yet?
anonymous
  • anonymous
no

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anonymous
  • anonymous
should i solve this or go to sleep.....
anonymous
  • anonymous
solve before going, please
anonymous
  • anonymous
Oops! forgot to sleep after going
anonymous
  • anonymous
okay, first things first, lets find the first derivaitve of the function your where given
anonymous
  • anonymous
can you find it?
anonymous
  • anonymous
9sec^(2)x
anonymous
  • anonymous
okay good
anonymous
  • anonymous
now can you please evaluate: f(pi/4)=9sec^2(pi/4)
anonymous
  • anonymous
square root of 2
anonymous
  • anonymous
is it right?
anonymous
  • anonymous
basically to make it more accesible we can write this as: f(pi/4)=9[sec(pi/4)]^2
anonymous
  • anonymous
further more we can write it as: f(pi/4)=9[1/cos(pi/4)]^2
anonymous
  • anonymous
then evalutaing we get: f(pi/4)=9[1/sqrt(2)/(2)]^2
anonymous
  • anonymous
what square root 2/2???
anonymous
  • anonymous
further: f(pi/4)=9[sqrt(2)]^2 which the gives us: f(pi/4)=9(2), which is 18 Thus f(pi/4)=18
anonymous
  • anonymous
yes, look at the unit circle, at pi/4 or 45 degrees, cos is sqr(2)/2, now if we rationalize the numerator we get just sqrt(2)
anonymous
  • anonymous
oh, thought your doing sec
anonymous
  • anonymous
i rewrote secx as 1/cosx
anonymous
  • anonymous
how come?
anonymous
  • anonymous
just to make is easier for me, but if realise that sec(pi/4) is sqrt(2) then more power to you
anonymous
  • anonymous
Now we have found the slope (m) of our line, it is 18
anonymous
  • anonymous
y-y=m(x-x)
anonymous
  • anonymous
yes, but we will use this form, y=mx+b
anonymous
  • anonymous
i am getting sleepy lets finish this problem
anonymous
  • anonymous
ok
anonymous
  • anonymous
what would be the b in the slope formula
anonymous
  • anonymous
Now remeber we said, that we have the x coordinate in the beining of pi/4, lets evaluate the orginal function at this point, this will give us the y in our line. f(pi/4)=9tan(pi/4) =9(1) =9 now we have our x which is pi/4, we have our slope which is 18, lets plug this info into our line: 9=18(pi/4)+b this means that b is = to 9-18pi/4
anonymous
  • anonymous
now lets substitute everyting in: y=18x-(36-18pi)/(4)
anonymous
  • anonymous
are we good?
anonymous
  • anonymous
36??
anonymous
  • anonymous
i combined 9 and 18pi/4
anonymous
  • anonymous
yes?
anonymous
  • anonymous
still don't see how you can 36??
anonymous
  • anonymous
|dw:1316152625201:dw|
anonymous
  • anonymous
you could've just simplify it to 9pi/2
anonymous
  • anonymous
okay, then smarty pants do it your way, regardless we came to a correct answer
anonymous
  • anonymous
sorry, so the finally would look like this 18x+9(1-pi/2)
anonymous
  • anonymous
sure
anonymous
  • anonymous
I just look the answer choices and so which one was the closest, but how come they have it 18x+9(1-pi/2) instead of just 18x+9pi/2
anonymous
  • anonymous
distribute the negative sign, first
anonymous
  • anonymous
huh?
anonymous
  • anonymous
what negative sign?
anonymous
  • anonymous
|dw:1316153351852:dw|
anonymous
  • anonymous
got it ?
anonymous
  • anonymous
but was there a 9-18pi/4 at the beginning
anonymous
  • anonymous
yes there was
anonymous
  • anonymous
can you not see it: |dw:1316153548845:dw|
anonymous
  • anonymous
I meant why was 9-18pi/4 at the begginig
anonymous
  • anonymous
above i accidentally wrote:y=18x-(36-18pi)/(4), but is was really suppose to be : y=18x+(36-18pi)/(4), sorry about the typo
anonymous
  • anonymous
okay, so can we lay this problem to rest?
anonymous
  • anonymous
I guess, but still don't get why they have 9-18pi/4 plug into b instead of just 18pi/4 by itself
anonymous
  • anonymous
Now remeber we said, that we have the x coordinate in the beining of pi/4, lets evaluate the orginal function at this point, this will give us the y in our line. f(pi/4)=9tan(pi/4) =9(1) =9 now we have our x which is pi/4, we have our slope which is 18, lets plug this info into our line: 9=18(pi/4)+b this means that b is = to 9-18pi/4
anonymous
  • anonymous
|dw:1316153804630:dw|
anonymous
  • anonymous
oh, ok now we can lay this problem to rest, thanks so much for being patience
anonymous
  • anonymous
its good you ask questions, i know i can confusing sometimes :)
anonymous
  • anonymous
Thanks for giving me a metal
anonymous
  • anonymous
yeah I just want to understand the problem instead of just getting the answer
anonymous
  • anonymous
because I might see it on the test, but thanks again
anonymous
  • anonymous
anytime

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