Question

Some Calc 3 help?? Just part B. http://assets.openstudy.com/updates/attachments/4e08b4d10b8bd74af49c67ed-rbrass33-1309193473239-testproblem1.png

Answer 1

Lagrange multipliers:
Simply let:
\[A_0=y(x+y \tan (\theta)) \implies 0=y(x+y \tan(\theta))-A_0\]
\[L(x,y,\lambda)=x+\frac{2y}{\cos(\theta)}-\lambda \left[ y(x+y \tan(\theta)) - A_0\right]\]
From here find \[L_x,L_y,L_{\lambda}\]
And set them all to zero. Its algebra from there.

Answer 2

Thank you!!!