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Mathematics 19 Online
OpenStudy (anonymous):

--->>>Problem #8

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):

???

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

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

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 ?

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!

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

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)

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

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

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