Use the Midpoint Rule with N = 4 to Estimate $y=\tan x, \quad 0 \leq x \leq \frac{\pi}{4}$

question 82

Multiple Choice

Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. $y=\tan x, \quad 0 \leq x \leq \frac{\pi}{4}$ Select the correct answer. The choices are rounded to the nearest hundredth.

• A) \(V=0.156\)
• B) \(V=1.851\)
• C) \(V=0.825\)
• D) \(V=1.142\)
• E) \(V=0.491\)

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Definitions:

Counterconditioning

A therapy technique whereby an undesirable behavior is replaced with a more desirable one by associating the undesirable stimulus with a positive one.

Behavior Modification

The use of empirical and experimental methods to change or modify human behavior through various techniques and interventions based on principles of learning.

Token Economy

A behavioral modification technique based on systematic reinforcement using tokens that can be exchanged for desired items or privileges.

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Individuals who are living in an institution such as a hospital or prison, especially for long periods, due to mental illness, criminal behavior, or other reasons.