## Normal Distribution Plot...

Can someone help me to plot the familiar bell shaped normal distribution curve ? I'm using the NormalPlot command with a RandomVariable, but all I'm getting is a scatter plot of points along the line, y = x. Can anyone help me to get the gaussian, bell shaped curve ? v/r,

## Piecewise Function...

I'm trying to enter a piecewise function with three parts, but can't seem to figure out how to make an extra line (the "expression" selections have one, but it only allows two lines to be entered). I read somewhere else to do CTRL+Shift+R, but that didn't seem to work. What I'm trying to enter is
y=x^2-5 x<2
-3x-7 -x<-2 and x<5
abs value(x-2) 5<x

I can get the first two lines, but can't find a way to include the third line. I'm supposed to graph the function so that all 3 are shown (may not be connected), and then I have to evaluate f(-3),f(3), and f(7). I haven't tried the evaluate part, because I can't seem to get all three components to graph. I have Maple 10. I'm new to Maple, any help would be greatly appreciated, this is quite the learning experience!

## Window settings for 'display('...

Hi all, I was just wondering if there is a way to change the window settings for the display function. I am making a picture using Maple 9 for a school project and have many plots on the same graph, but I only see portions of it. Thanks for your help.

## Graphing an Equation...

I have a problem that I'm somewhat confused about and I'm looking for help if possible. The problem states: Given the equation (x^2-1)/(x-1)=0, graph on an appropriate scale. What is the domain, what is the solution, and what are the x and y intercepts? I'm not sure how to put this one into Maple, if anyone can help I'd greatly appreciate it! This is my first time using Maple and I'm a little confused. I have Maple 10. Thank you! Stacey

## Implicit Plot Graph...

Help please! I have a problem that states "use implicit plot to graph 3x^2 + 2xy + y^2 = 4 on the interval [-5,5]". I'm not sure how to do an implicit graph, or how to identify the interval to plot. If anyone can help me, please let me know, I've been working on this one for hours (I have Maple 10). Thank you, Stacey

## Conditional Probabilities...

Is the Statistics package for Maple 11 able to handle, and or deal with conditional probabilities ? I may have to start using Bayes' Theorem really soon. Can you also create your own sample spaces and assign probabilities to the simple events in that space ? I would prefer accomplishing the latter using Maple's pre-defined packages instead of having to create my own, if it is possible to do so. thanks, v/r,

## Sum of multiple terms...

Hi, I have numerous terms all of the type opl[i]:= ... with i an integer . Now I want to calculate the total sum of all these terms. I've already worked with a commando like: "for i from 1 to 4 do opl[i]:=... end do;" but I can't find a way to make the sum of multiple terms. By the way is there a site of a good handbook where I could learn more about programming in Maple and make animated curves or objects?

## "avoid" option in fsolve...

The attached Maple10 worksheet solves a system of differential equations. A plot of the solutions y1(t) (red curve) and y2(t) (green curve) appears below. Download 2353_fsolve-avoid.mws
View file details As a check, I want to use fsolve and the "avoid" option to find both times at which y1 has the same value as when y1=y2, but I'm having trouble. I would appreciate any advice on how I can get the "avoid" option to work for me. fsolve finds the earlier time easily enough (t=.9036852930e-1), but when I use the "avoid" option (highlighted statement below) to find the later time (t=.5225499740), I get the error "Error, (in fsolve) avoid = {.9036852930e-1} is an invalid option." The code is appended below. Thanks. Glenn ======== ` > restart; > with(plots): > sys:= Diff(y1(t),t)=-3*y1(t) + 2*y2(t), Diff(y2(t),t)=y1(t)-3*y2(t); > ic := y1(0)=1, y2(0)=5; ` ` d d sys := -- y1(t) = -3 y1(t) + 2 y2(t), -- y2(t) = y1(t) - 3 y2(t) dt dt ` ` ic := y1(0) = 1, y2(0) = 5 ` ` > odesol:=dsolve({sys,ic},{y1(t),y2(t)},type=numeric,output=listprocedure); odesol := [t = (proc(t) ... end proc), y1(t) = (proc(t) ... end proc), y2(t) = (proc(t) ... end proc)] ` ` > Y1:=eval(y1(t),odesol); Y2:=eval(y2(t),odesol); ` Y1 := proc(t) ... end proc Y2 := proc(t) ... end proc ` > Teq:=fsolve('Y1'(t)='Y2'(t),t); ` Teq := 0.5225499740 ` > Yeq:=Y1(Teq); Y2(Teq); ` Yeq := 1.45974175440983366 1.45974175447049736 ` > T1:=fsolve('Y1'(t)=Yeq); T2:=fsolve('Y2'(t)=Yeq); ` T1 := 0.09036852930 T2 := 0.5225499740 ` > fsolve('Y1'(t)=Yeq, t, avoid={T1}); fsolve('Y1'(t)=Yeq, t=T2); ` Error, (in fsolve) avoid = {.9036852930e-1} is an invalid option 0.5225499740 ` > Y1(%); ` 1.45974175440983366 ` > plot({Y1(t),Y2(t)},t=0..3); `

## Solve a system of non-linear equations with 11 unk...

I am relatively new to Maple, and have been attmpting to solve this for the last few days, and if somebody would be able to help me out that would be great. I am attempting to make the list of following equations smooth (supposed to be for a roller coaster): u(x)=.8x (where x is less than 0) g(x)=kx^3 + lx^2 + mx + n (where is is greater than or equal to 0 but less than 10) f(x)=ax^2 + bx + c (where x is greater than or equal to 10 but less than or equal to 90) h(x)=px^3 + qx^2 + rx + s (where x is less than 90 but greater than or equal to 100) t(x)=-1.6x + 120 (where x is greater than 100)

## coefficient of determination...

how do i determine the coefficient of determination?

## regressions...

i am trying to find a regression plot for "n" data points with a degree of "n-1" but maple gives me this: Warning, there are zero degrees of freedom a regression curve with that degree should have a r^2 = 1. this regression curve is possible on my ti 83, but not in maple. how do i get it to work in maple?

## plot...

How can I display one (or more) point using plot? E.g. How can I plot the following ycoord vector: [1,2,5,4,3] (xcoord=[1,2,3,4,5])? In the maple help it was discussing function plotting only...