1. Define and plot the following functions
f1(x) = exp( - 0.3 x 2 ) sin(x)f2(x) = sin(x) cos(x)
f3(x) = sin(x) + cos(x)
f4(x) = sin(x) + sin(2x)
2. Plot the functions f1(x) through f4(x) simultaneously in a single graph.
3. Find by inspection the intercepts of the functions f1(x) and f2(x) in the interval x={-p,+p}
4. Define a function of 2 variables fa(x) = exp( - a x 2 ) via the Maple syntax
f := (alpha,x) -> ...
Plot f(a,x) for a =0.5,1.0,1.5,2.0 simultaneously in a single graph.
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