CalcNotes0203-page28

CalcNotes0203-page28 - approaches 0.3 lbs gal in the long...

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(Section 2.3: Limits and Infinity I) 2.3.28 Then, Ct () = St () Vt () = 0.6 t 10 + 2 t ± Multiply by 10, though 5 is better. ± Multiply by 10, though 5 is better. = 6 t 100 + 20 t = 3 t 50 + 10 t in lbs gal ² ³ ´ µ · b) Find lim t ±² Ct () , and interpret the result. Discuss the realism of this problem. We will use Case 2 of the Short Cuts for Evaluating “Long- Run” Limits for Rational Functions on Page 2.3.23. lim t ±² Ct () = 3 t 50 + 10 t = 3 10 lbs gal , or 0.3 lbs gal The concentration of salt in the salt-water mixture in the well
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Unformatted text preview: approaches 0.3 lbs gal in the long run, the same as for the incoming mixture. However, this calculation assumes that the well has infinite capacity, which is probably not the case in practice. Also, it assumes an unlimited supply of salt water. It might be a good approximation for a filled up well of high capacity, though. Here is the graph of y = C t ( ) : (Figure 2.3.t)...
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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