SOLUTION: The size of a Quantity Qi at time t is given by Q(t)=1300e^2.1t, Where t is measured in seconds. a) Is the quantity Q increasing or decreasing with time? b)what the initial v

Question 1093092: The size of a Quantity Qi at time t is given by Q(t)=1300e^2.1t, Where t is measured in seconds.
a) Is the quantity Q increasing or decreasing with time?
b)what the initial value of Q?
c) What is the value of Q after 1.5 seconds?
d)In how many seconds (measured from t=0)will the quantity be equal to 2000?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
as t increases, e^2.1t is increasing, since it is positive.
initial value is when t=0. Then Q(t)=1300*e^0=1300.
after 1.5 seconds, Q(t)=1300e^3.15=30336.88.
2000=1300e^2.1t
1.538=e^2.1t
ln both sides
0.4307=2.1 t.
without rounding divide by 2.1
t=0.2051

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