1.
\(f(x, y) = \frac{1}{2}x^{2/3}y^{1/3}\)
Write down an equation describing the contour line for \(f(x, y) = z\).
2.
\(f(x, y) = x + 2y\)
a. Write down an equation describing the contour line for \(f(x, y) = z\).
b. Using the grid below, draw the contour lines for levels \(z = 20, 40, 60, 80, 100\).
3.
\(f(x, y) = x^{3/4}y^{1/4}\)
Write down the partial derivatives of \(f(x, y)\) with respect to \(x\) and \(y\).
