題組內容

9. (6%) Let the equation be \( e^z = xyz \). Use implicit differentiation to find \( \frac{\partial z}{\partial x} \) and \( \frac{\partial z}{\partial y} \). 10. \( (20\%) \) Calculate the double integral.

(d) \( (5\%) \) \( \iint_{D}xy^{2}dA,\quad D \) is bounded by \( x = 0 \) and \( x = \sqrt{1 - y^2} \)