The equation for the area of a circle is: 
. Insert 9 as your radius (r) into the equation and solve:
\pi 9^2 = 254.469
\pi 9^2 = 254.469
Some doctors recommend that men drink 2.5 liters of water every day. There are approximately 29.8 millimeters in 1 fluid ounce.
1 answer:
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Split up the integration interval into 4 subintervals:
The left and right endpoints of the -th subinterval, respectively, are
for , and the respective midpoints are
- Trapezoidal rule
We approximate the (signed) area under the curve over each subinterval by
so that
- Midpoint rule
We approximate the area for each subinterval by
so that
- Simpson's rule
We first interpolate the integrand over each subinterval by a quadratic polynomial , where
so that
It so happens that the integral of reduces nicely to the form you're probably more familiar with,
Then the integral is approximately
Compare these to the actual value of the integral, 3. I've included plots of the approximations below.
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one day is equal to
so
% of the day is equal to
the answer is
one day is equal to
so
the answer is