## Different Colors for Taylor Approximations...

I would like to show a single plot comparing the 2nd, 3rd, and 4th degree Taylor polynomials of y=sqrt(2x+1) centered at x=4, with each polynomial having a different color. By default, Maple produces the plot with the function in red and all polynomials in blue. I can easily do this using the plot command, but I'd like to know if there is an option in the TaylorApproximation command that would achieve the same end result.

Thanks!

## Adding two expressions in Maple...

Hi all,

I am trying to add the two expressions in MAPLE 15, but it returns exactly the same expression back, is there any way I can add these two expressions?

mapleprimes.mw

A.Q

Soton

## How to solve the partial derivative at a specifie...

How to solve the  partial derivative at a specified point

The latex code is

f(x,y)=x+(y-1)\arcsin\sqrt{\frac{\,x}{y}}

f''_{xx}(x,1)

## solving for an expression...

I have something like E1:=y=x*b+z*a+c*i. and i want to solve for y/i. I try doing solve(E1,y/i) but it says i cant solve for an expression. is there a way to get around that?

## All values of the complex logarithm...

It is pretty easy to get the principal value of the logarithm of the imaginary unit, say. Is it just as easy to get all values of the logarithm of the imaginary unit?

Forgive me if this is a duplicate, but I couldn't find a similar questions.

Thanks!

## Plotting function in maple for x<=2...

I have an assignment that I am suppose to be doing in maple, I am suppose to plot the function f(x)=e^(x/3)sin(2x) for abs(x)<=2.... for part of it...

Ive tried multiple things in maple such as plot(exp((1/3)*x)*sin(2*x), abs(x) <= 2) but it keeps throwing me an error, any insight on how to get tis graph plotted would be great.

## How do I prevent that maple scrolls when I execute...

How do I prevent that maple scrolls through the worksheet and stops at the bottom when I want to execute the  whole worksheet. If i want to execute the whole worksheet I just want to stay at the same place in the worksheet and I also don't want to expand previousily closed sections. I use document mode. Thanks in advance

## Surface normal in vector calculus?...

In Vector Calculus there are excellent commands for finding the normal vector to a curve (PrincipalNormal and TNBFrame) but none for finding the surface normal vector. It is possible to display the surface normal vector using PlotPositionVector's normal option, but this is good for visualization only, and the vector can't be used for further calculations.

Am I missing something, or is this really missing form the package?

Two example problems to be solved:

## how to use dot (time derivative)...

Hello,

I wish to enter in the math dot operator but I can't find the way to enter it in the document mod. I also searched the help and did not find a way.

all I want is to enter dot(varphi)

thanks

Rami

When I type a operation in maple such as limit, derivative, integral... then I enter. It only show the result. but I want it to show clearly  each step of  solving. What should I do?

Thank

## How to define a finite series in a intervall?...

These are my first steps with the maple software and there is the following problem to answer.

a) I have to define a sequence L who is dividing a interval between [0,2*pi] in 20 sub intervals.

The output of the different values should be in decimal numbers.

## I can get the tangent line by using "Tangent" The...

I can get the tangent line by using "Tangent"  Then what about the normal plane

Tangent(t->{t, t^2, t^3}, t = 2)

## Filtering a Matrix...

Hello.

I need to filter a 2D Matrix based on the values in one of its columns.

Let's have a 2D Matrix like this one:

[1, 2]
[-2, 3]
[3, 18]

Now let's suppose we want to remove all rows with a negative number in the first column (second row in our example).

One possible solution would be to iterate over the whole Matrix in a for-loop removing rows one-by-one, but I was hoping for something more elegant (and hopefully faster).

## solve trigonometric equations...

I have the following simultaneous equations to get the 4 unknow variables
by maple engine. However, the maple did not give me anything. Actually,
the exact solutions exist in the educational text. Now, I am trying to get them
on maple. Why it does not work at all?
Please let me know how to do.

restart;
eq1:=A2*t2*exp(zt*t2*om)*sin(t2*wd)+A3*t3*sin(t3*wd)*exp(zt*t3*om) = 0:
eq2:=A2*t2*exp(zt*t2*om...