MATH 121 Lecture Notes - Product Rule, Implicit Function, Asymptote
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1. a. (12 points) find the maximum and minimum values of the function xm. Find the x-values of any relative extrema, determine whether they are in the interval [0, 4], and then evaluate m at any that are, and also evaluate m at the endpoints. product rule: xm. 1. b. (12 points) a dairy farmer wants to build a set of adjacent pens. The minimum value of m is 2 . using 240 feet of fencing material she has on hand. One side is along a brick wall and needs no fence (see picture). Derive a function for the area, then use it to determine the dimensions that would provide the maximum area. [note that while there are only two y-sides, there are three x-sides. ] objective: a = xy. constraint: 240 = 3x + 2y y. 4 x = width y = overall length xa. 2 answer: build the pen 60 feet long by 40 feet wide.
