solve({2*v+u=1,v+u=0},{v,u});

assign(%);

u+v;

0

For more help on this command look at the help file.

?assign

Take a look at the help pages for arithmetic operators.   Your syntax error is explained there.

?arithop

An expression of type `^` has exactly two operands. (It is a syntax error to express a^b^c without parentheses).

The gridstyle does not seem to alter the problem.  Increasing the number of points helps, but the "sawtooth" does not go away, it just gets finer.  This can be seen clearly with the plot below, rotated to highlight the sawtooth.

plot3d(-abs(x-y) , x=-1..1, y=-1..1,orientation=[-27,85]);
 

1:  Start by looking at the help files for the "diff" command and the "fsolve" command.  To bring up the help files, type a ? in front of the command and hit the enter key.

?diff

will bring up the help file for the diff command.  Do the same for the fsolve command.

2:  Enter your equations:

x_t:=t^(3/2);

y_t:=2*t^(5/2);

z_t:=t^2;

From your calculus class, velocity is the first derivative of position.

vx_t:=diff(x_t,t);

Do the same for y_t and for z_t.

Speed is the magnitude of the velocity.  Take the square root of the sum of the square of vx_t, vy_t and vz_t and set them equal to 300.  Then use fsolve to solve for the value of t.

restart:

with(plots):

spacecurve([2*exp(t),exp(2*t)*cos(t),exp(2*t)*sin(t)],t=0..ln(3),axes=framed);

This will plot the spacecurve.  See the help file for more details.  ?spacecurve will bring up the help file.
 

An augmented matrix is a coefficient matrix that has an extra column containing the constant terms.  So if  your coefficient matrix is 3x3, then there will be an extra column "augmented" to the 3x3 coefficient matrix, making it look like a 3x4.  In textbooks, the constant terms are usually separated by a vertical line.

Step by step solvers are available under the Tools menu.  Go to Tools, Tutors, Linear Algebra and select Gaussian Elimination.  This will bring up a GUI that is self explanatory.

restart:

f:=(x + y)*(x^2 + y^2);

f := (x+y)*(x^2+y^2)

diff(f,x);

x^2+y^2+(2*(x+y))*x

If you put a multiplication sign inbetween the two parentheses, you will be o.k.

The definition is in the Maple help pages.

?LerchPhi

Click on the Tools tab.  Then click on Options...  Select the Precision tab.  Change the Threshold value to something greater than 17859.  Then click on Apply to session.  Re-execute the worksheet and see what happens.

If you do not want to do it that way, you can right click on the number that gets displayed, then select "Numeric Formatting..."  Then select "Fixed" and then click on Apply Formatting.  You can change Decimal Places to 0 if you like, otherwise you will get the default of two decimal numbers.

This problem can be solved using Lagrange multipliers, although my feeling is that your teacher does not want you to solve it this way.  The worksheet that is attached is a modification of the worksheet at this link.  You can use it to get the value of the points, to verify your answer, however to choose to obtain it.  Hint:  You can create a list of x,y pairs for each of your curves(line), and use the square of the sum of squares in a loop to calculate values.  Then look for the minimum.

Download 221_lagrange.mws

One way to do it:  See help file for the plot command for more.  Type ?plot at the command line and hit the enter key.

f:=x->sin(x);
                       
g:=x->cos(x);

plot([f,g],color=[red,blue]);
 

Move your mouse pointer over the number that is next to your name, and click.  An explanation will follow.

Paulina, thanks for your input.  I use Standard Interface with 1-d math.  Having two different interfaces adds confusion.  How about 1 interface, with a toggle mode to go between 1-d and 2-d.  That way you have the best of both worlds.  As you can see from the questions that users are posting here, this item comes up on a regular basis.  Either have all of the features available in Classic, or do away with it completely, and offer a seamless method to switch between modes for legacy users and new users who do not care about 1-d math mode.

Agreed.  I have been vocal about your concerns in this forum for a long time.  A while ago I addressed this issue with a workaround using textplot.  It is rather painful in that you have to figure out exactly where to place the symbol,  but if you "must" have the  symbolic version, you can do it.  See a previous thread here.

Doug, the above plot command does not  actually label the plot with y=2*cos(x/2-Pi/6)).  Maple "simplifies" and labels it as y=2*sin(x/2+Pi/3).  I realize that these are the same, but the typeset command should just label the plots with whatever we tell it to label them with, and not automatically simplify into another trigonometric form, regardless of the equality of the two statements.