@Thomas Richard Thankyou.

@acer What i understant is T1(i) and T2(i) gives positive root of t1 and t2 in form of i. Can we incorporate T1(i) and T2(i) in optimization of function TBCIE. Is there any mistake i am doing ? How to plot the TBCIE BY considering all constraints which i have considered in maximization function.
I am attaching sheet.q6m.mw

@Thomas Richard Thanks for answer it worked. One more question is it possible to get P in readable format? I mean exactly know what all variables are there in p , what is the power of every variable etc.

The answer I am getting by optimizing function TBCIE and the answer from graph are different. I think that i am making some mistake in plotting graph. The decision variables are i and q. 

I am attaching the sheet .q4m.mw

@acer Thankyou for your reply sir. Further I have substituted t1 and t2 in a function TBCIE and optimizing it for getting the optimal value of decision variables i and q. The optimal value we get using Maximize and the optimal value from graph(using plot 3D) are  different. Is it the problem with plotting the graph, how to plot 3D graph for the function TBCIE?

I am attching the sheet. q4m.mw

@acer Thankyou
One question just for clarity why are we using digits and what determines its range.

@acer Thanks for reply. I have copied same command for t2 but i am not getting solution.
pls check q3m_ac.mw

@tomleslie attaching the sheet with question in it. q3m.mw

@Christopher2222 both are not working.

I am attaching the sheetq3m.mw

I want to get t1 in the form of i, where root of equation g1 is positive.
Note : range of i is from 0 to 0.79 and t1>=0.

Similarly for t2 in equation g2.
attaching the file
q3m.mw

Is it possible to know the positive and negative root of a equation? If yes how can we fetch positive root equation? The equation are a1 and a2. I am attaching the file.  q3m.mw
 

Note: All parameters in equation a1 and a2 are positive and >=0.

if values of parameters in the equation is needed to know the positive and negative root please let me know.

Is it possible to display values on 3d graph for particular axis values or by moving the cursor on graph.
I am attaching the sheet q2m.mw

@tomleslie sorry my mistake but is it possible to find range of i where g2 is not complex?

Is it possible to find the range of decision variables (i and q) where function(g2) is not complex?
I am attaching the file.
q1M.mw

Also is there any code/format in maple such that function g2 is clear and readable.

@mmcdara Thanks for answer. If we again want to integerate the sol (with limit ti.....si) is it possible using maple. I am attaching the image of integeration and its answer.