Suppose the Points $x_{0}, x_{1}, \ldots, x_{n}$ Are Equally Spaced And $\alpha$

question 65

True/False

Suppose the points $x_{0}, x_{1}, \ldots, x_{n}$ are equally spaced and $\alpha$$=$$x_{0}$$<$$x_{1}$$\text { < }$ ... $<$$x_{n}$$=b$ .
Is $\sum_{i=0}^{n-1}\left(\frac{f\left(x_{i}\right)+f\left(x_{i+1}\right)}{2}\right) \Delta x$ the formula (in terms of f and the $x_{i}$ 's)for the midpoint Riemann sum approximation to $\int_{a}^{b} f(x) d x$ ?

Interpret the utility possibilities frontier and its relevance to production possibilities.

Recognize the impact of income and cost of living differences on financial decisions and utility.

Distinguish between different fair allocation criteria and how they apply to resource distribution.

Explain the process of Borda count in elections and its outcomes.

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Definitions:

Dawes Severalty Act

A 1887 law aimed at assimilating Native Americans into American society by dividing tribal land into individual plots for ownership.

Reservation Policy

A policy pertaining to the designation of specific lands for indigenous peoples, often characterized by forced relocations and aimed at assimilating indigenous populations into mainstream society.

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The business of raising and managing cattle for meat, milk, and other products, typically conducted on large expanses of land.

Cattle Industry

A sector of agriculture focused on the raising, breeding, and marketing of cattle for meat, dairy products, and other by-products.