Problem 3.1:
Find the average value of
f (x) = | sin(x)| from
x = 0 to
2Π.
Problem 3.2:
Suppose Eleanor invests 100 dollars in an account that is compounded continuously
with an annual yield of 5 percent, so that the number of dollars in the account after
t
years is given by
A(t) = 100(1.05)t. What is the average amount of money in her
account over the first 3 years?
Problem 3.3:
What is the average
y-coordinate of a point on the upper half of the unit circle centered
at the origin? (You may use that
dx = (x/2) + (1/2)sin-1(x).)
