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Revolving about the y-axis Find the area of the surface generated when the given curve is revolved about the y-axis.
20. The part of the curve
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Chapter 6 Solutions
Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package
- Multivariable Calculus Total Differentials and Approximations LIFE SCIENCE APPLICATIONS Horn Volume The volume of the horns from bighorn sheep was estimated by researchers using the equation V=h3(r21+r1r2+r22) where h is the length of a horn segment in centimeters and r1 and r2 are the radii of the two ends of the horn segment in centimeters. Source: Conservation Biology. a. Determine the volume of the segment of horn that is 40cm long with radii of 5cm and 3cm, respectively. b. Use the total differential to estimate the volume of the segment of horn if the horn segment from part a was actually 42cm long with radii of 5.1cm and 2.9cm, respectively. Compare this with the actual volume.arrow_forwardThermal 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_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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