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.

(c) \( (5\%) \) \( \int_0^4\int_{\sqrt{x}}^2\frac{1}{y^3 + 1} dydx \)