MAT 1339 Lecture Notes - Lecture 16: V Engine
3 Dec 2018
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Mat1339 - lecture 12 - calculus problems using derivatives. How to graphically differentiate a function from its derivative: Using calculus to interpret functions can lead to better interpretations of data. Side-note: these concepts are useful in real life like in sales for example. Optimization: using maximums and minimums to find the optimal solutions to problems. Example #1: i"m building a fence in a area along a river. Subject to p = 90 = l+2w. Important: eliminate variables to get a function of one variable. 90 = l + 2w a = lw = (90-20w)(w) A""(22. 5) = -4 since its smaller than 0 then 22. 5 is a max. W = 22. 5fts l = 90-(22. 5)2 = 45fts. The maximum area is a(22. 5) = 22. 5 x 45 = 1012. 5. Example #2: i"m building a box with a square base of volume 8 gal.
