When an Oil Well Burns, Sediment Is Carried Up into the Air

question 26

Multiple Choice

When an oil well burns, sediment is carried up into the air by the flames and is eventually deposited on the ground.Less sediment is deposited further away from the oil well.Suppose that the density (in tons/square mile) at a distance r from the burning oil well is given by $\frac{9}{1+r^{2}}$ .Which Riemann sum approximates the total amount of sediment which is deposited within 100 miles of the well?

• A) \(\sum \frac{9 \pi r^{2} \Delta r}{1+r^{2}}\)
• B) \(\sum \frac{18 \pi r^{2} \Delta r}{1+r^{2}}\)
• C) \(\sum \frac{18 \pi r \Delta r}{1+r^{2}}\)
• D) \(\sum \frac{9 \pi r \Delta r}{1+r^{2}}\)

---

Definitions:

Sequential Stages

The concept that many processes, including psychological and social ones, occur in a specific, ordered series of steps or phases.

Observing Children

The practice of closely watching and noting the behavior, development, or actions of children in order to understand or assess their physical, cognitive, or emotional growth.

Intrinsic Motivation

The drive to perform activities for their own sake and personal rewards, rather than for external rewards.

Shaping

The learning process in which an agent initially reinforces any behavior that remotely resembles the desired response and subsequently requires increasing correspondence between the learner’s behavior and the desired response before providing reinforcement.