Evaluate the Riemann Sum For $f ( r ) = 6 - r ^ { 2 } , 0 \leq r \leq 2$

question 20

Multiple Choice

Evaluate the Riemann sum for $f ( r ) = 6 - r ^ { 2 } , 0 \leq r \leq 2$ with four subintervals, taking the sample points to be right endpoints.

• A) \(10.75\)
• B) \(9.75\)
• C) \(8.25\)
• D) \(10.25\)
• E) \(9.25\)

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Definitions:

Frontal Cortex

The front part of the cortex of the brain. Divided left and right into the two frontal lobes, this part of the brain is associated with cognitive functioning such as planning, foresight, and understanding.

Substantia Nigra

A brain area critical to movement and reward; loss of neurons here is associated with Parkinson's disease.

Amygdala

A brain region involved in processing emotions, including fear, pleasure, and anger, crucial for emotional learning and memory.