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A 1000L tub containing red and white plastic beads is initially full and 30% of the...

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Advance Math

A 1000L tub containing red and white plastic beads is initiallyfull and 30% of the beads are red. Some workers are constantlydumping buckets of beads (2L size, containing half red and halfwhite) into the tub at a rate of 1 bucket every 30 seconds. Otherworkers are continuously stirring the beads and, as necessary,removing excess volume.

(a) Write an IVP which describes this situation.

(b) Solve the IVP.

(c) How much (units are liters) of red and white beads will bein the tank after an hour?

(d) In the long term, how many white beads (in volume) will bein the tank?

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