Differentiate: -X-Cos y

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
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Differentiate: -x=cos y
a.
-sin y.
O b. -1/sin y
O c. sec y
Od.
Csc y
A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. How fast is
its surface area increasing when the radius is 10 mm?
O a.
120m mm2/day
O b. 320Tt mm2/day
O c. 80t mm²/day
O d. 160Tt mm2/day
A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 cubic feet per
minute. How fast is the depth of the water decreasing when the height is 6 ft?
O a.
-0.25 ft/min.
O b. -0.35 ft/min
Oc.
-0.60 ft/min
O d. -0.75 ft/min
Transcribed Image Text:Differentiate: -x=cos y a. -sin y. O b. -1/sin y O c. sec y Od. Csc y A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. How fast is its surface area increasing when the radius is 10 mm? O a. 120m mm2/day O b. 320Tt mm2/day O c. 80t mm²/day O d. 160Tt mm2/day A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 cubic feet per minute. How fast is the depth of the water decreasing when the height is 6 ft? O a. -0.25 ft/min. O b. -0.35 ft/min Oc. -0.60 ft/min O d. -0.75 ft/min
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