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Unformatted text preview: 3 3. Estimate tan(0 . 05) using an appropriate linearization. 4. Suppose g ( x ) = x x 2 . What is g ( x )? 4 5. Hydrogen peroxide (H 2 O 2 ) spontaneously decomposes into water and oxygen gas at a rate proportional to the quantity of hydrogen peroxide. Suppose you start with 100L of hydrogen peroxide in a tank, and after 1 week there are 60L of hydrogen peroxide in the tank. How many liters of hydrogen peroxide will there be in the tank after 2 weeks? 5 6. A spherical balloon is inﬂated by an electric pump. To prevent strain on the material, you want to inﬂate the balloon in such a way that the surface area is increasing at a constant rate of 20 square feet per minute. At what rate (in cubic feet per minute) should air be pumped into the balloon when the radius of the balloon is 2 feet? 6...
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This note was uploaded on 01/18/2012 for the course MATH 2250 taught by Professor Chestkofsky during the Fall '08 term at UGA.
 Fall '08
 CHESTKOFSKY
 Math, Calculus

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