Given the pencil of lines a(3x+4y-10)+b(3x-y-5)=0.Find pencil of lines is tangent to the circle x^2+y^2+2x-4y=0?

I am having problems with Maple returning corrct Answer when i use solve

solve([-sin(x) = cos(x), 2*Pi > x and x > 0], x, AllSolutions = true)

result is :

           { x = -1/4 - Pi + Pi _Z5 }   

but we have only 3/4 Pi and 7/4 Pi as solution, but _Z5 indicates all integers. How do i get the 2 solutions  and only those 2?

Kind regards 

Per Kirkegaard

I have defined my own function to implement inverse erf. I am trying to extend Maple so it recognizes basic identities. For example, I would like to Maple to simplify InverseErf(erf(x)) to x when x is real. I've used the following code in a module, but it doesn't seem to work (the evalf does work). Any suggestions?

ModuleLoad := proc()
global `evalf/InverseErf`;
global `erf/InverseErf`;
global `InverseErf/erf`;
`evalf/InverseErf` := proc(x)
local y,z;

I was trying to do some exercises on the Maplesoft site. (This site to be exact: http://www.maplesoft.com/applications/view.aspx?SID=1558&view=html ; 5.3.4. Example 4: Exercise 1:  Modify the above example so that it can be used to graph the sin

This is my question:

Given (1/6)*pi^2-(Sum(1/n^2, n = 1 .. N)) < 0.1e-2, how would would I find the smallest N such that the inequality holds?

I tried using solve command to no avail. Any suggestions?

Hi:

Say I have an expression like this:

a0:=I*(m*x+mp*x-omega[m]*t-omega[mp]*t);

I can factor out x,t and get an expected result:
collect(a0, [x,t]);

But how would I do it if I want to force Maple to act on the argument of exp?

a1:=exp(a0);

This doesn't work:
collect(a1, [x,t])

This will do what I want for this expression but maybe not in general:

I was doing some practice problems for Maple, when I encountered this problem:

My code is

w:=x+2+sin(x+2);

subs(x+2=u,w);

The output however did not change both `x+2`'s into `u`.

The output was: x+2+sin(u)

Any ideas as to why? Thanks in advance.

we were given three questions to do, i got the other two ones out grand but ive been trying to do this for hours and i still don't get it.   it is 

Write a function that produces the power set of a given nite set M, i.e. the set of all subsets.

Thusyour function has

Argument: a finite set M,

Returnvalue: the set of all subsets of M.

Examples: If PP is the procedure,PP({}) returns {{}},PP({a}) returns {{},{a}},PP({a,b}) returns {{},{a},{b},{a,b}},PP({a,b,c}) returns {{},{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c}},PP({a,b,c,d}) returns{{},{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}}.

you will be rewarded with a lifetime supply of grattitude if you can help me out! thanks.

THis is part of the code I used in the geometry package:

with(geometry):

circle(c,50811.89143+x^2+y^2-61.91881776*x-446.5619114*y = 0);

line(l,1621.451347-0.1838809e-1*x-7.2593834*y = 0):                               

draw([c,l]);
intersection(X,c,l,[F1,F2]);

Hi,

I need help for the following,

Solve the equation :x=(2012-x)^1/2(2013-x)^1/2+(2013-x)^1/2(2014-x)^1/2+(2012-x)^1/2(2014-x)^1/2

Solve Differential Equation: y''-3y'-4=e^xsin4x

has anyone successfully installed maple 17 on a machine running ubuntu 13.04? 

Wolfram Alpha has a normalcdf() function, which with parameters reads: normalcdf(x₁, x₂, µ, σ). How would I go about acheiving the same in Maple?

I'm trying to display a cross product in a 3d plot, as an arrow.  I'm using LinearAlgebra[CrossProduct] and the arrow command from plots.  The arrow command takes vectors in angle brackets, but it won't take the output of CrossProduct.  

I'm also confused because there seem to be two different arrow commands, one in plots and one in plottools.  If you have read in both of these libraries which one will be used?  I can't seem to...