Hi, I am having problems graphing something with Maple and was wondering if anyone could help me.
Here is the problem:
Let S be the region bounded by H(x)=10-2x, K(x)=(1/2xe^2x) -2x +3, by the vertical line x=2 on the left and by the point of intersection of H and K on the right. Let [a,b] be the interval over which S is defined.
Here is what I need to do:
Make a preliminary plot of the region explicitly showing the vertical line x=2 on the left side of the region.
I have tried to graph it like this: plot([H,K],-5..5);
I have not been able to get it to work and wonder if anyone might know what I am doing wrong. I had already defined what H and K were using arrow notation and set a to the appropriate value in an earlier step, in case that's important. Also, I am not sure what I should put where the
-5..5 is. Do you just have to guess what to put there or is there some way to figure that out? Thanks in advance to anyone who can help me.
Ok Thanks. I am able to get it to graph now. How do I make a plot showing the vertical line x=2 on the left side of the region? Do I need to type something else in? I can't figure out how to do that and would appreciate any help. Thanks in advance to anyone who can help me.
Hmm.. I tried to change it to plot({H(x),K(x)}x=-2..5);
and got the following error: Warning unable to evaluate the functions to numeric values in the region; see the plotting commands help page to ensure the calling sequence is correct. Also, I misread the problem before and I should be making a plot of the region explicitly showing the vertical line x=-2, not x=2. Anyone have any idea what could be causing this
error?
Also I need to find b using fsolve for this same problem. I know I need to write something like b:=fsolve(H(x)=K(x),x=3..4.1); .I am not sure if I have set that up right, and I'm pretty sure that the x=3..4.1 doesn't belong, and something else should go there. Have I done this correctly? I am getting the same thing I typed out come back in blue, but the equal sign between the x and 3 has turned into a comma for some reason. Thanks in advance to anyone who can help me with either of these problems.
first of all, the way you defined your functions is sloppy. i am not even sure what k(x) is. if it is supposed to be you should define it as (1/2)*x*exp(2*x) - 2*x + 3 in Maple.
here is the code:
Code:h:=x->10-2*x; k:=x->(1/2)*x*exp(2*x) - 2*x + 3; plot({h(x),k(x)},x=-2..2);
Also I need to find b using fsolve for this same problem. I know I need to write something like b:=fsolve(H(x)=K(x),x=3..4.1); .I am not sure if I have set that up right, and I'm pretty sure that the x=3..4.1 doesn't belong, and something else should go there. Have I done this correctly? I am getting the same thing I typed out come back in blue, but the equal sign between the x and 3 has turned into a comma for some reason. Thanks in advance to anyone who can help me with either of these problems.orCode:fsolve(h(x)=k(x));if you wishCode:b:= fsolve(h(x)=k(x));