Problem. Write the equation of the tangent planes to the sphere

x^2+  y^2 + z^2 -10*x +2*y +26*z -113=0

which are parallel to the lines

d1: x = -5+2*t, y = -3*t+1, z = -13+2*t

d2: x = -7+3*t, y = -1-2*t, z = 8.

This is my code

restart:

with(geom3d):

line(d1,[-5+2*t,-3*t+1,-13+2*t],t):

a:=ParallelVector(d1):

line(d2,[-7+3*t,-1-2*t,8],t):

Dear all,

I am stuck with my gradient projection algorythm. I asked several questions on this but nothing helped.

So, the basic problem I have is the following:

I need to make a procedure, which would take as an input some function of time, x(t),

calculate numerical solution for the ODE system

diff(y(t),t)=f(t,x(t),y(t))->y_1(t)

via dsolve/numeric

then update the value of the function x(t)=f(y_1(t)),

giving as a result x(t...

I tried to find the list of hotkeys for Maple's commands but I found nothing.

Is there any hotkeys?

for example, It would be useful to have hotkeys for 'execute ALL toolbar', for Greek letters.

In MathCAD you write Latin analog + 'ctrl + G' and the programm returns Greek letter. for example to achieve 'alpha' you have to input a + 'ctrl+G'.

As many before me, ive lost all my note to this problem. Is there any chance to salvage this document or is it gone.

I hope you can help me

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/INS2.mw .

Download INS2.mw

Hi,

I'd like to draw a disk with center (0,0,0) , radius 1, in the plane theta=constant (or y=tan(theta) x), where theta is given different of 0.

How can I proceed?

Thanks.

ALS

Hi,

I work on a dynamic programming problem and I must used the result of a maximization function, but I can not

There no curve on the second of the following two polar plots. Why? (I am using the 64 bit version on W7)

restart:

with(plots):

polarplot([3+4*cos(theta)],theta=0..2*Pi, radialstart=-2,angularorigin=bottom,legend=["Zero wind"], legendstyle=[location=top,font=[Times,roman,14]],labels=["G-force [G]",""], font=[Times,roman,14],labelfont=[Times,roman,14],

Let A(1,-1,-1), B(2,1,2), C(1, 3, 1) be three points and Delta: x = -t, y = -t, z = t be a line. Write the equation of the sphere (S), knowing that center of (S) lies on the line Delta, (S) passing the point A and cuts the plane passing through the  three points A, B, C cut (S) a circle has least radius.  

This is my code.

> restart;

with(geom3d):

a:=[-t,-t,t]:

This post is continuing the theme of "animate implicitplot (a heart shape)". I tried to send a reply within this theme, but for some reason, my message is not loaded

http://www-igm.univ-mlv.fr/~gauthier/HYPERG.html

> Read("D:/Feb2012/HYPERG.mw"); with(HYPERG);
Error, invalid input: with expects its 1st argument, pname, to be of type {`module`, package}, but received HYPERG

HYPERGLIB := "D:/Feb2012/";
libname := libname, HYPERGLIB:

both methods above.

after typing PolyRecSol(H...

no result in Maple 15, just return similar command, no equation return.

Hello Maple wizards,

I have two questions for you today.

First, a program I'm developing in Maple 15 does frequent matrix multiplication with a constant float[8] matrix. I hope to take advantage of multiple processors in my 6-way desktop processor and/or CUDA features of the Nvidia GPU card. The program is large enough that maintainability and good programming practice dictate that it be broken down into multiple procs. In addition, I'm considering...

I haven't posted here in a while, and am not sure how to enter things, so this may not post correctly. But what I need help with is how to animate the following so that they will actually "draw" the heart shaped implicit plots either from the top down, or the bottom up, or however else might look interesting.

Thanks in advance.

I'm trying to approximate points with a function of certain form with Statistics[NonlinearFit]. I expect the graph in the second example to be closely approximate of the points, just like the first graph. For some reason, the second graph is way off. Seems like a bug. Any suggestions are highly appreciated.

Here is the code

plotApprox := proc(listName)
    local X, Y, convModel, modList;

I have a region x^2 + y^2 <= 1 and y>=0. It's temperature function is f(x,y) x^2 - 2y^2 + x + y. How do I find the max and min temperatures on the lower boundary y=0?

I took the derivatives with respect to x and with respect to y such that:

fx:=diff(f(x,y),x);

fy:=diff(f(x,y),x);

Then I used fsolve({fx=0, fy=0},{x,y}) which game me (-0.5, 0.25)

Is there really only one critical point on that lower bound...

Hi, I'm trying to have my half circle divided into equal gaps of 33 , but am not sure what to use. I tried using Array, Sequence, Matrix... But don't think i'm doing it right. Here is what I have :

gap :=pi/(16*2)

I want a sequence of [0,0.0982,0.1963,0.2945,0.3927etc] in a vector form. May I know what is the proper way to do it please?

Many thanks.