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anonymous
 one year ago
Find....
anonymous
 one year ago
Find....

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437384213608:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have tried diffrent approaches but end up with the same result that doesnt match the correct answer.

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.2\[t^23=u\\t=3 \rightarrow 93=u \rightarrow u=6\\t=4\rightarrow 163=u \rightarrow u=13\\t^23=u \rightarrow 2tdt=du \\\frac{tdt}{\sqrt{t^23}}=\frac{1}{2} \frac{du}{\sqrt{u}}\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0u subsitution like what @amoodarya did

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437384771141:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0and then take the antiderivative after u = ... du = dx steps

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.2or see this \[\frac{t}{\sqrt{t^23}}=\frac{2t}{2\sqrt{t^23}}=\frac{(t^3)'}{2\sqrt{t^23}}\\=\frac{d}{dt}\sqrt{t^23}\\ \int\limits_{3}^{4}\frac{d}{dt}\sqrt{t^23} =\sqrt{t^23}_{3,4}=\sqrt{3^23}\sqrt{4^23}\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0then plug u back in and evaluate f(4)f(3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0why doesnt mine work?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385040459:dw find the derivative of u

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhh Now I get it...

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385150396:dw so we just need to divide 2 on both sides

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0then that tdt should be 1/2

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385229449:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385312000:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385348540:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385408712:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0now sub u back u = t^2 3 dw:1437385433088:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385518425:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437385586233:dw you should be getting this after evaluation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, this was way easier. THanks!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I was double checking with wolfram we got the right answer, but they took it a step further by multiplying 4 throughout the answer dw:1437385928137:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't matter...it's the same thing :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Appreciate ur time and patience. Thank you:)
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