A lighthouse sits 1 km offshore, and its beam of light rotates counterclockwise at the constant rate of 3 full circles per minute. At what rate is the image of the beam moving down the shoreline when the image is 1 km from the spot on the shoreline nearest the lighthouse?

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A: Please see the explanation below

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A: dy/dt = rate of moving of tip of shadow dp/dt = rate of change in length of shadow

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Using volume  of cone and applications of derivative idea we solve this

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A: Given a lighthouse which is located on a small island 3 km away from the nearest point P

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A: Definition uses-       Similar triangles -        If two triangles are similar then their…

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Q: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the…

A: Let OA= height of light      CD= height of man      BC= length of shadow…

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A: Given data is : dxdt=4 ft/sec To find the Rate of the searchlight is rotating

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Q: a kite 100 ft ft above the ground moves horizontally at a speed of14ft/s. at what rate is the…

A: If you like the solution then please give it a thumbs up..... The Answer is:     Result = - 0.035…

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Q: A 3-meter long steel pipe has its upper end leaning against a vertical wall and lower end on a level…

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