15 years since the Parthenon had begun
So the formula for the area of the circle is
. To find the radius is divide the diameters by 2, which in this case its 2 and 3. Now we can find the areas.
Now just subtract the areas:
The difference in areas is 5 pi, or 15.71.
Answer:
nearest 10: 374,030
nearest 100: 374,000
Step-by-step explanation:
Answer:
I believe the answer is number 3.
Step-by-step explanation:
Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:
can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267