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need help on the attachment

Mathematics
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come on no has helped you with this yet?
no

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Other answers:

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

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