Max and min problem with 3 unknowns

[Simon.T]

Hi,

I have this question for a college assignment. It involves 3 'unknowns' (not 3 variables, since 2 are constants). The main difficulty I am having is inexperience with max and min problems where you cannot fully evalaute the solution.

I think I have made a reasonable attempt at a solution, I would appreciate it if someone would take a brief look tell me what you think.


Thanks!

Homework Statement

Find V for maximum E, hence find E_max.

u and \theta are constants.

Homework Equations

Product rule: \frac{dy}{dx}=u\frac{dv}{dx}+v\frac{du}{dx}

The Attempt at a Solution

 

[berkeman]

Looks fine to me (although I just skimmed some of the algebra). Do you know yet if it's the correct answer?

 

[Simon.T]

Looks fine to me (although I just skimmed some of the algebra). Do you know yet if it's the correct answer?

Hi, thanks for taking a look at my question.

The whole assignment isn't due for a week or so yet, so I won't find out for a while.

I am somewhat confident of my approach but was just wanting someone to look it over.


Cheers!