For f(x) = 12/(1+x²), and subinterval width 4, you are to evaluate f(1), f(5), and f(9) and combine them according to the rule
... Integral ≈ (4/3)(f(1) + 4·f(5) + f(9)) = (4/3)(6.0000 + 4·0.4615 + 0.1463) ≈ 10.66
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Simpson's rule has you combine values of f(x) with coefficients 1, 4, 2, 4, ..., 2, 4, 1, where those values are evenly spaced at the edges of an even number of subintervals. Since we have only 3 values to combine, there are no terms that have a coefficient of 2. The entire sum is multiplied by 1/3 the subinterval width.
The area of the cylinder is a function of its height (h) and radius, (
)
The exact value of h is: 
The given parameters are:


The surface area of a cylinder is calculated as:

Substitute values for Area

Divide through by pi

Substitute value for r



Collect like terms

Make h the subject


Rationalize


Hence, the exact value of h is: 
Read more about surface areas t:
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6000 pounds
Step-by-step explanation:
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Answer:
8
Step-by-step explanation: