MathAnalysisCalculusMultivariable calculus

Multivariable functions

Heat

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When mixing xx gram molecules of sulfuric acid together with yy gram molecules of water, the released heat can be determined by the formula:

C(x,y)=1.786xy1.798x+yC(x,y) = \frac{1.786xy}{1.798x+y}

If initially there are 5 gram molecules of acid and 4 gram molecules of water and we increase them to 5.01 and 4.04, respectively, how much additional heat is generated? Write your answer as a number rounded to three decimal places.

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