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 A petrol car is parked 35 feet from a long warehouse (see figure). The revolving \text { A petrol car is parked } 35 \text { feet from a long warehouse (see figure). The revolving }

question 76

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 A petrol car is parked 35 feet from a long warehouse (see figure) . The revolving \text { A petrol car is parked } 35 \text { feet from a long warehouse (see figure) . The revolving } light on top of the car turns at a rate of 12\frac { 1 } { 2 } revolution per second. The rate at which the light beam moves along the wall is r=35πsec2θft/secr = 35 \pi \mathrm { sec } ^ { 2 } \theta \mathrm { ft } / \mathrm { sec } . Find the rate rr when θ\theta is π6\frac { \pi } { 6 } .
\text { A petrol car is parked } 35 \text { feet from a long warehouse (see figure) . The revolving }  light on top of the car turns at a rate of  \frac { 1 } { 2 }  revolution per second. The rate at which the light beam moves along the wall is  r = 35 \pi \mathrm { sec } ^ { 2 } \theta \mathrm { ft } / \mathrm { sec } . Find the rate  r  when  \theta  is  \frac { \pi } { 6 } .    A)   r = \frac { 140 } { 3 } \mathrm { tt } / \mathrm { sec }  B)   r = \frac { 70 \sqrt { 3 } \pi } { 3 } \mathrm { ft } / \mathrm { sec }  C)   r = \frac { 70 \sqrt { 3 } } { 3 } \mathrm { ft } / \mathrm { sec }  D)  r = \frac { 140 \pi } { 3 } \mathrm { ft } / \mathrm { sec }  E)  r = \frac { 70 \pi } { 3 } \mathrm { ft } / \mathrm { sec }


Definitions:

Phobia

An extreme or irrational fear or aversion to something, often resulting in avoidance behavior and distress.

Systematic Desensitization

A therapeutic technique used to help individuals overcome phobias and anxiety, involving gradual exposure to the feared object or situation.

Phobia Development

The process through which an irrational and intense fear of a specific object, scenario, or activity is formed, often resulting from a negative experience or predisposition.

Watson's Hypothesis

A theory suggesting that all human behaviors can be conditioned, put forward by John B. Watson, a pioneer in behaviorism.

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