I want to begin by saying hello! im new to the forums i hope some one can give me a push in the right direction with some of my maple homework. im sort of stuck on a few of these questions and would be greatfull for some help.

Let .

a) Let *g *be the tangent line to *f *when *x *= *c*. Use Maple to find *g *as a function of *c*.

b) Use Maple to plot *f *and *g*(3) using view = [0..5, -25..100].

c) Define a function called plot_tan that plots both *f *and *g*(*c*) where *f *is blue and *g*(*c*) is red. Also use the same view as in part (b). Note that plot_tan is also a function of *c*.

d) Using your function plot_tan, the following all in one graph using the display command:

plot_tan(1), plot_tan(1.5), plot_tan(2), plot_tan(2.5), plot_tan(3), plot_tan(3.5), plot_tan(4), plot_tan(4.5), plot_tan(5).

e) Try using the option insequence = true in the display command. What does this option do? (You will need to click on the graph and play around with some buttons).

now it seems to me i have to use the point slope formula to get to a fuction g of c. thanks in advance! i hope you can help