60 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people
1 answer:
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Answer:
Step-by-step explanation:
We are to integrate the function
over the area enclosed by the circle
Convert into polar coordinates
x=rcost and y = rsint
Since the lines are x=0 and y=x we find that t varies from 0 to pi/4
Double integral will become now
(since variables are independent here)
Substitute for r and t
4 sin pi/4 -2 cospi/4
=
Answer:
4185
Step-by-step explanation:
A culture of bacteria grows exponentially according to the following general exponential growth function;
where;
p(t) is the population at any given time t.
p(0) is the initial population
k is the growth constant
From the information given we have;
p(0) = 1500
at t = 5, p(t) = 2300; p(5) = 2300
We shall use this information to determine the value of k;
Divide both sides by 1500;
Therefore, the population of the bacteria at any time t is given by;