Plot the two curves defined by

−x* y^2+4 *x=5

and

(1/3)*x^3+y^2=1

and find the number of intersections of these curves in the square

Help me out.

Cheers.

This is what I typed in the Maple and only got 1 answer...but the answer should be 4..

eqn1:=−x* y^2+4 *x=5
eqn2:=(1/3)*x^3+y^2=1;

sol:=fsolve({eqn1,eqn2},{x=-10..10,y=-10..10});
              {x = 1.324605526, y = -0.4746486082}

To answer this question you need to create a Maple function using Maple's arrow (->) notation.

Your function should take a Maple list of complex numbers as its input and return the largest modulus from that list.

Enter your function in the box below.

Really need help 

Cheers.

Enter the matrix

To prevent typing errors you may copy and paste following Maple command for entering A.

A := Matrix([[4, 7, 5, 2, 6, 4, 9, 7, 5, 8, 5], [7, 7, 3, 9, 4, 5, 2, 3, 5, 6, 8], [5, 6, 5, 6, 6, 3, 7, 4, 9, 1, 9], [9, 1, 4, 8, 9, 4, 4, 2, 1, 3, 3], [5, 6, 8, 2, 2, 1, 2, 9, 5, 4, 1], [4, 7, 9, 6, 9, 2, 3, 5, 6, 3, 5], [7, 2, 5, 7, 3, 4, 9, 8, 1, 8, 9], [5, 7, 1, 2, 7, 9, 9, 2, 2, 4, 7], [1, 6, 5, 3, 9, 9, 1, 5, 7, 4, 2], [3, 7, 8, 7, 8, 3, 6, 4, 6, 9, 2]]);

[Note that Maple does not display the full matrix when it has more than 10 rows or 10 columns.  However, you can still work with the matrix using Maple commands.]

Use Maple to create the vector b that is column 6 from A and the matrix C that is made from columns 1 to 5 and 7 to 11 of A (in the same order as the columns of A).

Now solve the matrix equation

C x = b

and enter the 6^th component of the unique vector solution for x in the box below.  (Your answer should be an exact fraction, not a decimal)

The answer is 63695593/46022164

Can someone help me out?

Cheers.

The question is to find principle argument of the 5 roots of the polynomial z^5-5*z^4-z^2-2 

I used the Maple command:

Solve(z^5-5*z^4-z^2-2);

evalf(%);

argument(%);

But the Maple told me that expecting 1 argument but got 5.

I want to find all the argument and then use Max command to find the principle argument...it's doesn't work

Another similar thing is to find the moduli of a 5 roots of the polynomial z^5-5*z^4-z^2-2 

I got the same error as previous one ..

Can someone help me out ?

Cheers.

The question is to fin limit (n^1.5)*sum of 2*k/(2*k+3) k=1 to n as n goes to infinity 

I got the answer is float infinity...

How can I get a correct answer ？

Can someone help me out .

Cheers.