Exercises

Plot the following functions with the given instructions

Use Commands

1. $x^2-6$ (Name the expression ex1)

   x ranging from -3 to 3

   ex1 := x^2 → - 6
plot( ex1, x=-3..3 )

2. $15x^2+10x-3$ (Name the expression ex2)

   x ranging from -2 to 2, y ranging from -50 to 50

   ex2 := 15x^2 → + 10*x - 3
plot( ex2, x=-2..2, y=-50..50 )

3. cos(x)

   x ranging from 0 to $2\pi$

   plot( cos(x), x=0..(2*Pi) )

4. sec(x)

   y ranging from -10 to 10

   plot( sec(x), x, y=-10..10 )

   Comment: Notice that a dummy x is required between the function and the range of y's to make sure the graph has x as a variable. Try this problem without the x in between and Maple will not make the plot and comment that it is an empty plot.

5. $\frac{x^2}{3}+\frac{y^2}{9}=12$ (Name the equation eq6)

   Enter the equation and plot the ellipse equation using commands.

   eq6 := (x^2)/3 → + (y^2)/9 → = 12
with(plots):
implicitplot( eq6, x=-7..7, y=-10..10 )

   Comment: Notice that the ellipse equation must be plotted using the implicitplot command and that it looks like a circle. Add the attribute argument scaling=constrained to the implicitplot command see the ellipse as an ellipse.

6. $x^4-e^x=0$ (Name the equation eq7 and expression ex7)

   Plot the expression.

   eq7 := x^4 → - exp(x) = 0
ex7 := lhs(eq7)
plot( ex7, x )