MATH 203 Lecture Notes - Lecture 2: Coefficient

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Math 203 - calculus 1 lecture 2: review continued. 1. 2 mathematical models: a catalogue of essential functions: linear model, a model that uses a liner function of x. In order to graph it, we find the slope (a) and intercept (b) of the equation. Some books and professors use m to denote the slope e. g. linear models grow at a constant rate. Given in class and also in the book single variable calculus, by james stewart, 8th edition page. A) as dry air moves upward, it expands and cools. If the ground temperature is 20 c and the temperature at the height of 1 km is 10 c, express the temperature t (in c) as a function of the height h (in kilometers) assuming that a linear model is appropriate. T = temperature m = slope h = height. T = 20 when h = 0, so: T = 10 when h = 1 and b = 20.