Wonte Woe the Nhat-Draw- Write proeess to solve each problem. Dote 1. Lacy uses \( \$ \) pounds of clay to make 6 identical vases. How many pounds of clay does she use for wach wase?

11) \( \int\left(x^{3}+e^{x}\right) d x \)

logarithmic differentiation to solve for \( \frac{d y}{d z} \) where \( y=x^{\tan z} \).

a) 0,08 dam +1.200 mm

Simplify \( \sqrt{5} \bullet \sqrt{8} \) \( \begin{array}{ll}\text { a } & 2 \sqrt{10} \\ \text { b } & 4 \sqrt{10} \\ \text { c } & \sqrt{40} \\ \text { d } & \sqrt{13}\end{array} \)

Use properties of logarithms to find the exact value of the expression. Do not use a calculator. \( \log _{12} 6+\log _{12} 2 \)