## Shading under a curve in a 2D plot...

I am wondering how to shade a portion of the plane under a curve from say x=a to x=b. To be more specific suppose I have the function f(x) = 5 - x^2. I want to plot this function and shade the region under this curve and above the x-axis from x = 1 to x=2. How can I shade it with a solid color; and how can I shade it with a striped region. I imagine there must be some "shade" command or option. Your assistance will be appreciated. Tom

## Tautologies...

Can Maple be used to see if propositional logic sentences with arbitary propositional constants are tautologies ? i.e. (if they are always true under every possible interpretation or arrangement of the truth values true and false).

## Basic Expression Manipulation...

Hi There, I am new to Maple and would appreciate some help on basic polynomial manipulation. I have the following type of equation that I need to simplify by factoring out the x^r component. How do I do this in Maple 10? Equation to manipulate x^(n+r)*(n+r-1)*c[n]+(n+r)*x^(1+n+r)*c[n] What maple commands do I use to get the following? x^r*[x^(n)*(n+r-1)*c[n]+(n+r)*x^(1+n)*c[n]] Thanks very much

## convex set of some points in R2...

I have the following points in R-2, (1,1) , (3,4), (1,5), (0-4), (-3,1). How may I obtain graphically the minimal convex set with contains all this points?. I found the commad convexhull.. but I am not sure how to use it. (I use Maple10) Thanks in advance, JJacques

## a*[[V]] * b*[[mV]] giving (a*b)*([[V]]*[[mV]]) ins...

I am trying to multiply a number in volts with a number in mV. the answer it gives me, though, is in [[V]]*[[mV]]. How do I make it convert the answer to [[V]] automatically?

## How can i make the fonts smooth?...

Hello How do I make the font in Maple 9.5 smooth. The fonts look horrible. I think its due to java as java fonts are horrible. They aint smooth like Microsoft fonts. If you were to compare a MS Trembauchet font with a Java Trembauchet font, the MS Trembauchet puts the Java font at bottom of the Top 100 list. Anyone know how I can make it appear smoother? Ben

## How do I can to develop a meteorology model with M...

Hello, I'm sorry for my poor English, my name is Arnaud, I'm 17 years old junior in a School (Laurent de Lavoisier) in France. I have a probem, I'd like to develop a program for meteorology modelisation with Maple. How could you do it? Thank you in advance. MOTZ Arnaud

## referencing a table, or something better...

if I have a table of data of the form: A | 1 | 2 | 3 B | 5 | 2 | 5 C | 9 | 8 | 2 ... how can I reference the table? I am working in document mode and I cannot figure out how to name the table to access it (hopefully) like "table1[1,2]" if this is not possible, is there some other way to do what I am wanting? It has to not only be a functional solution, but a graphical one as well, because this is for a report to hand in (so I can't "table1:=...") thanks, patrick

## Default settings for sketches...

Is it possible to change and save the default background color and pen settings for a sketch?

## printing result into table form...

HIIIIIIIIIIIIIII! :) I'm doin a problem on the restricted 3 body problem...What i want is to creat a proc "equilibria(mu)" which finds all five equilibria of (DE) when mu_1=mu and displays, in a neat table, the (x,y)-position of each equilibrium and the eigenvalues of the vector field's Jacobian at that equilibrium. In addition, the table should indicate if the equilibrium is hyperbolic (all eigenvalues are real and non-zero), elliptic (all eigenvalues are imaginary and non-zero), hyperbolic-elliptic (a mixture of non-zero real and imaginary eigenvalues), or otherwise.. Now the difficulty is this, i can find the equ's and get the evalues, but i have a proble with gettin them into a table...i've been told that prinf is a good one to use, but i have no idea at which bit to use it..this is how far i've got

## Plotting Rational Equations...

When I plot y = (x^2 + 5x + 6)/(x^2 - 4)... where's the hole? That is, Maple provides the vertical asymptote when using the Student Tools-Precalculus library but why not the hole? Thanks, C.

## assume and type versus is...

Hello, I am in doubt with the following situation. It started with this: > f := signum(z)*infinity; > type(f,complex(extended_numeric)); # false > is(f,complex(extended_numeric)); # false Now I make an extra assumption on z, and do these checks again: > assume(z,real); > type(f,complex(extended_numeric)); # false > is(f,complex(extended_numeric)); # true I was wondering why the second time is results in true while type does not... I am just checking whether the expressions is an infinity (possibly in complex form), and so I don't see where the difference could come from.