Use Inequalities to Describe R in Terms of Its Vertical $\begin{aligned}e ^ { x } & \leq x \leq 2 \\0 & \leq y \leq \ln 2\end{aligned}$

Multiple Choice

Use inequalities to describe R in terms of its vertical and horizontal cross sections. R is the region bounded by y = e^x,y = 2,and x = 0

A) Vertical cross sections: $\begin{aligned}e ^ { x } & \leq x \leq 2 \\0 & \leq y \leq \ln 2\end{aligned}$ Horizontal cross sections: $\begin{array} { l } 0 \leq y \leq \ln 2 \\1 \leq x \leq 2\end{array}$
B) Vertical cross sections: $\begin{aligned}e ^ { x } & \leq x \leq \ln 2 \\0 & \leq y \leq 2\end{aligned}$ Horizontal cross sections: $\begin{array} { l } 0 \leq y \leq 2 \\1 \leq x \leq \ln 2\end{array}$
C) Vertical cross sections: $\begin{aligned}0 & \leq x \leq \ln y \\e ^ { x } & \leq y \leq 2\end{aligned}$ Horizontal cross sections: $\begin{array} { l } 1 \leq y \leq 2 \\0 \leq x \leq \ln 2\end{array}$
D) Vertical cross sections: $\begin{aligned}0 & \leq x \leq \ln 2 \\e ^ { x } & \leq y \leq 2\end{aligned}$ Horizontal cross sections: $\begin{array} { l } 1 \leq y \leq 2 \\0 \leq x \leq \ln y\end{array}$