monsterwins292
31.12.2019 •
Mathematics
Water flows into a tank according to the rate f(t) = (6+t)/(1+t), and at the same time empties out at the rate e(t) = ln (t+2)/(t+1), with both f(t) and e(t) measured in gallons per minute. how much water, to the nearest gallon, is in the tank at time t = 10 minutes.
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Ответ:
F(t) = 1.5 gallon /min
E(t) = 5.5 gallon/min
Step-by-step explanation:
The rate at which water flows into the tank = F(t)
The rate at which water is emptied from the tank = E(t)
F(t) = (6+t)/(1+t)
E(t) = ln (t+2)/(t+1)
When t = 10 mins
F(t) = (6 + 10)/(1+10)
= 16/11
F(t) = 1.5 gallon /min
E(t) = ln (10 +2)(10+1)
= ln(12)(20)
= ln(240)
E(t) = 5.5 gallon/min
Ответ:
A=(pi)(radius)^2
Area of small silver dollar pancake=4pi
Area of regular pancake=16pi
16pi/4pi=4 times bigger than silver dollar pancake
NO, because in order to find the area of a circle you need to multiply pi with radius squared.