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Given That the Polar Equation R Models the Orbits of the Planets

question 121

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Given that the polar equation r models the orbits of the planets about the sun,
-Suppose that a radio transmission pattern can be modeled by r2=28,900cos2θ, for 0θ360\mathrm { r } ^ { 2 } = 28,900 \cos 2 \theta , \text { for } 0 ^ { \circ } \leq \theta \leq 360 ^ { \circ } where the units are miles. Determine how far the signal reaches to the east, assuming that east is represented by the direction of the positive x-axis.


Definitions:

Variable Ratio

A reinforcement schedule in operant conditioning where a response is reinforced after an unpredictable number of responses, enhancing its effectivity.

Fixed Ratio

A schedule of reinforcement where a response is reinforced only after a specified number of responses, often used in behavior modification programs.

Variable Interval

A reinforcement schedule in which the reinforcement is provided after a variable and unpredictable amount of time has passed following a behavior.

Fixed Interval

In operant conditioning, a schedule of reinforcement where the first response after a specified amount of time has elapsed is rewarded.

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