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A Plane Flying Horizontally at an Altitude Of 1mi1 \mathrm { mi }

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A plane flying horizontally at an altitude of 1mi1 \mathrm { mi } and a speed of 550mi/h550 \mathrm { mi } / \mathrm { h } passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2mi2 \mathrm { mi } away from the station.


Definitions:

Obsessive-Compulsive Disorder

A mental disorder characterized by persistent, unwanted thoughts (obsessions) and repetitive, ritualistic behaviors (compulsions) that the individual feels compelled to perform.

Anorexia Nervosa

An eating disorder marked by an intense fear of gaining weight and a distorted body image, leading to severe restriction of food intake.

Obsessive Thoughts

Persistent, unwanted, and intrusive thoughts that cause significant anxiety or discomfort, often seen in psychiatric conditions such as Obsessive-Compulsive Disorder (OCD).

Anorexia Nervosa

An eating disorder characterized by an obsessive fear of gaining weight, leading to severe restrictions on food intake and potentially life-threatening starvation.

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