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One Fine Day You Take a Hike Up a Mountain y=3(x312x2+48x+36)y=3\left(x^{3}-12 x^{2}+48 x+36\right)

question 29

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One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve y=3(x312x2+48x+36) y=3\left(x^{3}-12 x^{2}+48 x+36\right) .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.Which of the following is a good estimate of the elevation after 7.5 horizontal miles.(You do not know the shape of the path explicitly after 7 miles!)


Definitions:

Fixed-Ratio

In the context of reinforcement learning, it describes a schedule where a response is reinforced only after a specified number of responses have occurred, leading to a high, steady rate of responding.

Variable-Ratio

A reinforcement schedule in which the number of responses required for a reward varies around an average, making the reinforcement unpredictable and typically leading to high and stable response rates.

DRH

A differential reinforcement of high rates of behavior schedule where reinforcement is contingent on responses being made at or above a certain rate.

DRO

A behavioral intervention technique known as Differential Reinforcement of Other behavior, where reinforcement is delivered for any behavior other than a target behavior.

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