Let F(x) = 4 - 2x Use a Riemann Sum

question 307

Multiple Choice

Let f(x) = 4 - 2x Use a Riemann sum with four subintervals of equal length (n = 5) 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 = 10) .
Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n?

• A) 4.4 sq units; 4.8 sq units; no
• B) 4.8 sq units; 4.4 sq units; yes
• C) 4.4 sq units; 4.8 sq units; yes
• D) 4.8 sq units; 4.4 sq units; no

Understand how government policies, such as excise taxes, can influence market outcomes and efficiency.

Explore the effect of removing excise taxes on market surplus and government revenue.

Understand the effect of taxes on the burden shared between employers and employees.

Analyze how the elasticity of demand and supply influences the outcomes of tax policies.

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