You wrote, "Sketch, on the same plane, the curve...." But the curve does not lie in any plane. The curve is a helix on an elliptic cylinder around the x-axis.

Update: Perhaps "same plane" is meant as "same graph" because any 3-D graph can be considered to be lying in the plane of the paper or screen on which it is drawn.

You have a typo. The equation of the circular cylinder should be x^2 + y^2 = a^2. You have x^2+y^3^=a^2.

@Aakanksha 

What's the point of summing 1000 terms when you don't have numeric values for Xi and gamma[o]? You'll just get an expression with 1000 terms.

What is the parameter Xi? What is gamma[o]?

@acer 

Better yet,

plots:-display(plot([[0,0]], color= white), plots:-pointplot( DataTable3 ));

@nama 

The possibility of equality is always part of the null hypothesis and never part of the alternative hypothesis.

@nama 

The command

Statistics:-TwoSamplePairedTTest(X, Z, 0, confidence= 0.95, alternative= 'lowertail')

means that the alternative hypothesis is that the first factor (X) is less than the second factor (Z).

What input did you call the procedure with?

Please either post the procedure as plaintext so that I can cut and paste it or attach it as a worksheet so that I can download it.

Do you have initial values for lambda1, lambda2, and lambda3?

What exactly is the problem that you're having? When I run your code, there is no apparent problem.

@lazza For any entry like 1+10^(-10), first apply evalf to the matrix, then fnormal:

map(fnormal, evalf(M));

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@mahmood180 It is true that diff(f(t), t$0) is undefined; however ThU said D[1$m](f)(t). That is defined, correctly, at m=0.

This is not related to your question, but you should spell Pi with an uppercase P in Maple. You will get a much simpler answer, to wit,

as opposed to the three-line answer that you had before. With a lowercase p, pi is just an arbitrary name with no predefined meaning.

@mahmood180 

Preben said

g1:= unapply(...);

but your code has

g1(t):= unapply(...);