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Unformatted text preview: a height m 10 and a base radius of m 4 . Suppose the water is m 6 deep at this moment. (a) What is the relation between radius of the surface and the depth of the water? (b) What is the relation between the volume and depth of the water? (c) How fast is the water level dropping at this moment? Page 4 10/18/2011 5. [10 pts] . Let 5 . sin 1 ) (+ + = x x x f (a) Find the linearization of ) ( x f at = x . (b) Estimate ) 1 . ( f using the result of (a). 6. [4 pts bonus]. When a tanker collides with a boat, π 100 3 m of oil is spilled in the ocean. The resulting oil slick forms a right circular cylinder on the surface of the water. If the thickness of the slick is decreasing at a rate of sec / 001 . m , how fast is the radius increasing when the slick is m 01 . thick?...
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This note was uploaded on 10/17/2011 for the course MTH 133 taught by Professor Staff during the Fall '08 term at Michigan State University.
 Fall '08
 STAFF
 Calculus

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