Concept explainers
Computing surface areas Find the area of the surface generated when the given curve is revolved about the given axis.
13.
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Calculus: Early Transcendentals (3rd Edition)
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- Thermal Inversion When there is a thermal inversion layer over a city as happens often in Los Angeles, pollutants cannot rise vertically but are trapped below the layer and must disperse horizontally. Assume that a factory smokestack begins emitting a pollutant at 8 A.M. Assume that the pollutant disperses horizontally, forming a circle. If t represents the time in hours since the factory began emitting pollutants t=0 represents 8 A.M., assume that the radius of the circle of pollution is rt=2t miles. Let Ar=r2 represents the area of a circle of radius r. a. Find and interpret Art. b. Find and interpret DtArt when t=4.arrow_forward5æ? about the y – axis for 3 < x < 8 Find the area of the surface obtained by rotating the curve y No decimal entries. Find the exact value. S =arrow_forward
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