Find the Average Value of the Function on the Given $h(x)=7 e^{\sin x} \cos x,\left[0, \frac{\pi}{2}\right]$

question 54

Multiple Choice

Find the average value of the function on the given interval. $h(x) =7 e^{\sin x} \cos x,\left[0, \frac{\pi}{2}\right]$

• A) \(14 e^{3}-1\)
• B) \(16(e-1)\)
• C) \(13 \pi\left(e^{3}-1\right)\)
• D) \(\frac{15}{\pi}(e-1)\)
• E) \(\frac{14}{\pi}(e-1)\)

---

Definitions:

Continuous Reinforcement

A schedule of reinforcement in which a desirable behavior is rewarded every time it occurs, leading to rapid learning.

Extinction Contrast Effect

The increased difference in the intensity or frequency of a response observed when a previously reinforced behavior is no longer reinforced, in the presence of a contrasting condition that continues to be reinforced.

Tokens

Symbols or objects used as representations of value or exchange, often employed in token economies for behavior reinforcement.

Operant Conditioning

A method of learning that occurs through rewards and punishments for behavior, operant conditioning involves an association between behaviors and their consequences.