Mathematics
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OpenStudy (anonymous):
--->>>Problem #8
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OpenStudy (anonymous):
OpenStudy (anonymous):
Why is the answer not 14?
OpenStudy (anonymous):
i did 142-2/10-0 = 140/10 = 14
OpenStudy (earthcitizen):
\[f(t)=t ^{2}+4t+2 \therefore f(t)\prime=2t+4\]
OpenStudy (anonymous):
???
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OpenStudy (earthcitizen):
you differentiate f(t)
OpenStudy (anonymous):
o wait
OpenStudy (anonymous):
i plugged in 10 but i wasnt supposed to, right?
OpenStudy (earthcitizen):
yep
OpenStudy (anonymous):
just 0 and t
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OpenStudy (earthcitizen):
no, find the zeroes of the first function f(t) leaving you with \[t=-2-\sqrt(2) , \sqrt(2)-2\]
OpenStudy (anonymous):
im kinda confused
OpenStudy (anonymous):
can you show work please
OpenStudy (earthcitizen):
\[2t+4=10 \therefore t=3\] i think
OpenStudy (anonymous):
im getting even more confused... i dont think we've covered what you are doing in my class yet
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OpenStudy (earthcitizen):
have you done differentiation ?
OpenStudy (anonymous):
dont think so? if we have, i must've been day dreaming or something
OpenStudy (earthcitizen):
ouch! not a good thing to solve calculus if you haven't done it before you'll just be hurting your mind
OpenStudy (anonymous):
the answers not 3 btw
OpenStudy (earthcitizen):
yh, what was it ?
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OpenStudy (anonymous):
idk yet, you tell me lol
OpenStudy (earthcitizen):
what are the options then ?
OpenStudy (anonymous):
no options
OpenStudy (anonymous):
it just tells you if you got it right or wrong
OpenStudy (earthcitizen):
shoot!
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OpenStudy (anonymous):
at least i get unlimited tries lol
OpenStudy (earthcitizen):
since y=mx+c then f(t)'=2t+4
OpenStudy (anonymous):
its 6
OpenStudy (anonymous):
the answer is 6
OpenStudy (anonymous):
i do just plug in 0 and t and then do rate of change
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OpenStudy (earthcitizen):
alryt, show me wh@ you did ?
OpenStudy (earthcitizen):
we are all learning
OpenStudy (anonymous):
f(0)^2+4(0)+2=2
f(t)=t^2+4t+2
t^2+4t+2-(2)/t
=t+4
t=6 because 6+4 is 10 (10 is given in the problem)
OpenStudy (earthcitizen):
alryt, i see. why did you divide thru by t ?
OpenStudy (anonymous):
its usually by h but since there is no h i made it a t (im using the difference quotient formula or whatever its called)
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OpenStudy (earthcitizen):
alryt, so you haven't done calculus before ?
OpenStudy (anonymous):
first time
OpenStudy (earthcitizen):
awesome!
OpenStudy (anonymous):
why is that? lol
OpenStudy (earthcitizen):
yh, coz you haven't done calculus yet and you did a calculus problem, so th@s awesome
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OpenStudy (anonymous):
lol
OpenStudy (anonymous):
i posted another question that you could maybe help me with
OpenStudy (earthcitizen):
alryt, i'll try wish me luck