Let F(x) = 8x Use a Riemann Sum with Four

question 3

Multiple Choice

Let f(x) = 8x Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R (under the graph of f on the interval [0, 2]) . Choose the representative points to be the left end points of the subintervals.
Repeat previous part with eight subintervals of equal length (n = 8) .
Compare the approximations obtained in previous parts with the exact area (16 sq units) . Do the approximations improve with larger n?

• A) 14 sq units; 12 sq units; yes
• B) 14 sq units; 12 sq units; no
• C) 12 sq units; 14 sq units; no
• D) 12 sq units; 14 sq units; yes

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The ownership rights of underground resources like oil, natural gas, metals, and minerals.

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The space above the ground in which aircraft can fly, also subject to property, safety, and national defense regulations.

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A system that categorizes different types or interests in land and property, ranking them in order of importance or priority, commonly used in real estate and property law.