Question: Maximum value of function on graph

I am interested to know how the find the maximum value in a function of f(x,t) over an interval {x=a..b, t=c..d}. I have searched this forum and the web and can not find anything to do it.

I have plotted the function and can visually see the maximum, however, although I have tried many methods I can not calculate the maximum value.

Any assistance would be appreciated. If possible, I would also like to calculate the mean and minimum value for the function.

 

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