Homework Help: Work done

1. Aug 9, 2016

1. The problem statement, all variables and given/known data
for the work done θ , after combining all three , the work done should be = 2x(e^y) + (z+1)(e^z) - (e^z) + k , am i right ?
why the author stated it is x(e^y) + (z+1)(e^z) - (e^z) + k ?
There's x(e^y) in equation (i) and (ii)

2. Relevant equations

3. The attempt at a solution
θ= (x)(e^y) + f(y,z) + (x)(e^y) + g(x,z) + (z+1)(e^z) - (e^z) + h(x,y )
= 2(x)(e^y) + (z+1)(e^z) - (e^z) + k

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2. Aug 9, 2016

Aniruddha@94

No, the author is right. You shouldn't simply add the RHS of the equations. The expressions which are common don't need to be added. In your example, if you had $2xe^y$ ( like you thought), you wouldn't get $\frac {\partial \phi}{\partial x} = e^y$ and $\frac {\partial \phi}{\partial y}= xe^y$

3. Aug 9, 2016

Staff: Mentor

I would never have solved it this way. I would have expressed everything in terms of t.

4. Aug 9, 2016

Aniruddha@94

Exactly, I too would have done the same.