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.

(b) \( (5\%) \) \( \iint_{D}x^{3}dA,\quad D = \{(x,y)\mid 1\leq x\leq e,0\leq y\leq \ln x\} \)