## Finding the equation of a circle...

I'm hoping someone can help me. I'm trying to find the equation of a circle using three points (2 outside points and the midpoint). I tried typing this from the Maple software help menu, but keep getting an error: > with(geometry); _EnvHorizontalName := m; _EnvVerticalName := n; > circle(c1, [point(A, 0, 0), point(B, 2, 0), point(C, 1, 2)], > 'centername' = O1); > center(c1), coordinates(center(c1)); Error, (in geometry:-circle) the coordinate names must be a list of two names Error, (in isassign) the first argument is expected of type name > My three points are actually (-4,-9), (6.7), and the center is (1,-1). I've worked on this for days, but can't seem to get anywhere. If anyone could help I'd greatly appreciate it!

## _C1, _C2, ......

Is there a way to redefine the way constants are displayed? I would like to have ODE results displayed with C1, C2... with 1,2 as a subscript? Thanks for any help you can offer.

## Tutor to help in learning to use Maple 10...

Would anyone in forum community know of a legitimate online tutoring service that could provide help for me to learn how to use maple? If so, would you please send me the hyperlink to this service? I have specific questions that the tutorals already provided through maplesoft do not answer. Thank you.

## MathiueS question...

Okay, here goes I am have some questions. I am solving the Mathieu differential equation whit a damping term, so the equation I am solving is: u''(x)+b*u'(x)+(a-q*cos(\Omega t))=0 Where I have a=0 and b=1,9, and whit the initial conditions u(0)=0 and u'(x)=1, this gives me the following: u(x) = exp(-9/10*x)*MathieuS(-81/100, 1/2*q, x) I would like to see for which values of q, that the function u(x) is in the interval [-20;20]. I can solve the problem by drawing some plots, but I still haven’t been able to solve it without. I know this is a long short, since you guys have so little info on the problem at hand, but any help will be much appreciates.

## Create Function from Coefficient Vector...

So I have a vector X that contains my least squares coefficients. How do I incorporate these coefficients back into a polynomial function automatically using loops or the like? Right now I have to define the funciton manually f:=x-> X*x^3 + X*x^2..... but I want to be able to quickly vary the degree of the polynomial without having to edit the function definition by hand each time. Any geniuses out there that can help me? Thanks, Matt

## Functions...

If f(x)=-4x^(2) and g(x)=2/x, find [g*f](x).

## newton's method...

Implement a computer programme which, for a given function f(x), interval [a,b] and real numbers epsilon1>epsilon2>0, finds an approximation x~ from the inerval (a,b) with an error less than epsilon1 by bisection and, with x~ as the stating value, finds an approximation of this root by the second modification of tj=he Newton method with an error less than epsilon2.

## Help With A Possible Improper Integral (What Is Th...

View file details I'm trying to perform an integration on a function involving a couple constants in order to normalize (setting result of integral = 1) and solve for the constant, A. The closest I'm able to reach with respect to completing the integral is a result that involves the error function, erf. How do I go about getting a neater closed form solution to the this integral ? Am I illegal integration limits ?

## WildCard in subs...

In a worksheet I have the following subs({tan(a)=sin(a)/cos(a),tan(b)=sin(b)/cos(b)}, eq1) The following doesn't work, but I was wondering if there was any wild card character that would enable me to do something like this subs(tan(?)=sin(?)/cos(?), eq1)

## Identity Matrix...

I have been trying to come up w/ a fast way to get identity Matrices which can later accept non-zero non-diagonal entries. If I use the shape=identity parameter then the Matrix can't be manipulated. This is what I've come up with KronDelt :=proc(i,j) => if i=j then 1 else 0 end if end proc: Matrix(1..4,1..4,(i,j) -> KronDelt(i,j)) Was it necessary to seperately define KronDelt ? I tried putting a mapping directly into the Matrix constructor but always got a syntax error, e. g., Matrix(1..4,1..4,(i,j)-> if i=j then 1 else 0 end if ) This doesn't work. Is there any way to d

## Need help plotting qualitative behavior of first o...

I am having the hardest time plotting the qualitative behavior of the solutions of these differntial equations. I keep getting Error, (in plots/animate) no non-zero vectors found. If someone could walk me through plotting these equations, it would be greatly appreciated. Equation1: dx/dt=x^2, x(0)=1, 0≤t<>

## Batch function creation...

My goal is to obtain a formula F:= x -> fa(x)*c1_1(x)+ fb(x)*c1_2(x)+fc(x)*c2_1(x)+... where every ci_j(x) is a function of x. fa, fb, fc are known functions of x. I do not need to have it printed, I just need it to return a numerical value for every value of x I throw in. I have obtained the solutions of ci_j's in the form Sol:=[c1_1=f11(x), c1_2=f12(x), c1_3=f13(x), ...], N1 terms Sol:=[c2_1=f21(x,c1_j’), c2_2=f22(x,c1_j’), c2_3=f23(x,c1_j’), ...], N2 terms Sol:=[c3_1=f31(x,c1_j’,c2_j’), c3_2=f32(x,c1_j’,c2_j’), c3_3=f33(x,c1_j’,c2_j’), ...], N3 terms Sol:=[c4_1=f41(x,c1_j’,c2_j’,c3_j’), c4_2=f42(x,c1_j’,c2_j’,c3_j’), c4_3=f43(x,c1_j’,c2_j’,c3_j’), ...], N4 terms

## external calling / use of arrays...

```For testing an external routine against Maple I have something like

Gamma_mpl:=define_external(
'Gamma_mpl',
'C',
'Z'::ARRAY(1..n,datatype=float),
'result'::ARRAY(1..n,datatype=float),
LIB=theDLL);

where the function in the DLL (compiled with Dev-C++) is like

extern "C" __declspec( dllexport ) __stdcall
void Gamma_mpl(double *Z, double *R){ ... some code  ...}

It takes the input in Z and updates values in R.

The following works as expected:

z:= -1.1 + 2.1*I*0:
# provide memory
Z:=Array(1..2, order= Fortran_order, datatype= float):
```