Answered: Overhead view 100 m -Highway

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Searchlight problem—narrow beam A searchlight is 100 m
from the nearest point on a straight highway (see figure). As it
rotates, the searchlight casts a horizontal beam that intersects the
highway in a point. If the light revolves at a rate of π/6 rad/s,
find the rate at which the beam sweeps along the highway as a
function of θ. For what value of θ is this rate maximized?

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