Precalc0011to0016-page37

Precalc0011to0016-page37 - h = 2 when V = 18 and r = 3 . 2...

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(Section 0.16: Variation) 0.16.2 Example 1 (Modeling Using Variation) h is directly proportional to V and is inversely proportional to the square of r . Find the particular mathematical model related to this statement if h is 2 when V is 18 ± and r is 3. § Solution Our general model is: h = kV r 2 , where k is the (nonzero) constant of proportionality . To find k , we use the fact that
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Unformatted text preview: h = 2 when V = 18 and r = 3 . 2 = k 18 ( ) 3 ( ) 2 2 = 18 k 9 2 = 2 k 2 2 = k k = 1 To obtain our particular model , we must substitute this value of k into our general model. h = 1 V r 2 h = V r 2 Note : If we solve for V , we get V = r 2 h . What formula is this?...
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This document was uploaded on 12/29/2011.

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