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Unformatted text preview: x ) and the number of genera ( y ) comprising x species is given by k y x a = where a and k are constants. Find dx dy . [Source: Calculus for the Life Sciences, by R. Greenwell, N. Ritchey, and M. Lial, 2003] Application: Suppose that van der Waals equation for a specific gas is 7 . 9 ) 03 . ( 5 2 = + V V P Thinking of the volume V as a function of pressure P , use implicit differentiation to find the derivative dP dV at the point ) 1 , 5 ( [Source: Calculus: Concepts & Connections by R. Smith and R. Minton, 2006]...
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