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You pour a small amount of blue dye into a bathtub full of water. After three...

You pour a small amount of blue dye into a bathtub full of water. After three seconds the radius of the approximately circular colored patch is about 4 cm. What is its radius after about six seconds?

5.657 cm
7 cm
16 cm
8 cm
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Answer #1

the area of circular blue dye is a function of time A-Ct (Cpraportional constant) we know area of the circle of radius r is = A = Cdt when, time elapsed dt-3.0sec; raidus -r 4.0cm Tr =>| C =0.001 676 Sec when time elapsed =dt=6.0 sec the radius-r Cdt _ ; we plug the values in hand while using the relation give u:s 5,657 cm

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