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Maple Assignment 1
Open a new Maple worksheet (in “Document” mode) and answer the following questions. All answers must be completed in the Maple document. When done, save your document and send it to me via email as an attachment. Do NOT forget to type your name and section ID into your document (see note below for typing text). 1. Define the following functions: f(x) = x^3 - x^2 + 2x - 1 and g(x) = 4x + 3 Use Maple to find (and simplify) f(x) + h(x) f(g(x)) and g(f(x)) ( f(x + h) - f(x) ) / h and (g(x + h) - g(x) ) / h
2. Define the function f(x) = (x^2-4)*x and plot the function for x between -3 and 3. Then plot each of the following functions and interpret the result. f(x), f(x - 2), f(x) + 1, f(x + 1)-2
Note: You could plot the functions separately or, if you prefer, all in one coordinate system. To plot multiply functions in one system, if that’s what you prefer, enclose them in curly brackets. For example: plot({x^2, x^2+1}, x=-3..3) or plot({f(x+1), f(x)+2}, x=-3)
3. Suppose a demand equation ...

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