Use Maple to find:
(make sure you simplify the answer Maple is giving). 2. Define the functions
Use Maple to find f(g(x)) and g(f(x)) and simplify the result. Interpret the answer. Is Maple correct ? Can you simplify the answer more, making certain assumptions on x ? 3. 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:
Interpret the result. Note: You should restrict the y-axis to better see what is happening. Use the command plot({f(x-2), f(x-1), f(x), f(x+1), f(x+2)},x=-3..3,y=-10..10); 4. Using the same function as in the previous example, plot the following functions:
and interpret the result. Make sure you again restrict the y-axis to be between -10 and 10, similar to the previous problem. 5. A ball is thrown straight into the air, and the distance function depending on time is given as:
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Bert G. Wachsmut |