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These are questions asked by Al86

I have some algebraic expression which I want to expand.

I used the ExpandSteps command to show me the steps, but I guess I used it incorrectly.

Attached below the file with the commands.

It should be expanded to -\Delta*\sin^2(\theta), but I want maple to show me the steps.

"with(Student[Basics]):  Delta:=r^(2)-2 M*r+a^(2);  rho^():=sqrt(r^(2)+a^(2)*(cos(theta))^(2));  ExpandSteps((a^(2)*sin^(2)(theta)-Delta^(2))*((r^(2)+a^(2))^(2)-a^(2 )*Delta*sin^(2)(theta))*((sin^(2)(theta))/(rho^(4)))-(4 *a^(2)*M^(2)*r^(2)*sin^(4)(theta))/(rho^(4)))"

Error, (in Student:-Basics:-ExpandSteps) too many levels of recursion






I have the following question, plot the graph of mu=5*log_10(D_L/10) where D_L=(c/H_0)*\int_0^z dz'/[A(1+z')^4+B(1+z)^3+C]^{1/2} with resepct to z, where A,B,C are numerical values given beforehand, and c is the speed of light and H_0 is the current Hubble constant.


Can someone please help with this simple plotting assignment.


Thanks, just by experience, can I learnt these syntax languages.


Peace out!


Can someone help me with the following question?


I would like to plot the function f(x)=a*x*(1-x)+x*ln(x)+(1-x)ln(1-x) in the interval [x1,x2], where x1 and x2 are points that satisfy the following: df/dx(x=x1)=df/dx(x=x2)=0 and f(x1)=f(x2), where a is some parameter that is greater than 0.

I guess I need to use here fsolve, but I am not sure how.

I have the following simple dsolve code:

ode := diff(y(x), x, x) + (n*pi)^2*y(x) = A^3*sin(n*pi*x)^3;
dsol1 := dsolve({ode, y(0) = 0, y(1) = 0}, y(x));


How to declare that n is an integer here?




I have this polynomial equation: (x-2)^2*(x-3)+epsilon =0, I want to draw a bifurcation diagram in the (epsilon , x) plane.


How to implement this in maple 2018?




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