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Water begins filling an empty 20 liter tank and sludge begins draining from a different full 20 liter tank. It takes 50 seconds to completely fill the water tank and it takes 30 seconds to completely empty the sludge tank. use the Intermediate Value Theorem to prove that there is some time t at which both tanks contain the same volume of liquid. Be organized and justify your claims. Assume that the fill and drain functions are both continuous.

 

Can someone help me with this problem, please? My AP Calc exam is tomorrow and I'm kinda freaking out... Thanks! :)

 
 May 15, 2018

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