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

question 56

Multiple Choice

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

• A) \(\sum_{i=a}^{b} f\left(x_{i}\right) \Delta x\)
• B) \(\sum_{i=a+n}^{b+n} f\left(x_{i}\right) \Delta x\)
• C) \(\sum_{i=1}^{n} f\left(x_{i}\right) \Delta x\)
• D) \(\sum_{i=0}^{n-1} f\left(x_{i}\right) \Delta x\)

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Definitions:

Sensory Adaptation

The phenomenon where sensory receptors reduce their sensitivity to unchanging stimuli over time, enabling organisms to concentrate on environmental changes.

Selective Attention

The process by which a person focuses on one input or task while ignoring other stimuli or information that is also present.

Neural Fatigue

A temporary reduction in the ability of neurons to generate responses, often due to prolonged activity or stimulation.

Amplitude

The maximum extent of a vibration or oscillation, measured from the position of equilibrium.