Calculus : The Classic Edition (with Make the Grade and Infotrac)
Calculus : The Classic Edition (with Make the Grade and Infotrac)
5th Edition
ISBN: 9780534435387
Author: Earl W. Swokowski
Publisher: Brooks/Cole
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Chapter 3.1, Problem 2E

(a)

To determine

The slope of the tangent line to the graph of ‘ f ’ at P(a,f(a)).

(b)

To determine

The equation of the tangent line at P(2,f(2)).

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A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?
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By using the numbers -5;-3,-0,1;6 and 8 once, find 30
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