Use Inequalities to Describe R in Terms of Its Vertical $\begin{aligned}0 & \leq x \leq \ln 4 \\e ^ { x } & \leq y \leq 4\end{aligned}$

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 = 4, and x = 0.

A) Vertical cross sections: $\begin{aligned}0 & \leq x \leq \ln 4 \\e ^ { x } & \leq y \leq 4\end{aligned}$ Horizontal cross sections: $\begin{array} { c } 1 \leq y \leq 4 \\0 \leq x \leq \ln y\end{array}$

B) Vertical cross sections: $\begin{aligned}0 & \leq x \leq \ln y \\e ^ { x } & \leq y \leq 4\end{aligned}$ Horizontal cross sections: $\begin{array} { c } 1 \leq y \leq 4 \\0 \leq x \leq \ln 4\end{array}$

C) Vertical cross sections: $\begin{aligned}e ^ { x } & \leq x \leq 4 \\0 & \leq y \leq \ln 4\end{aligned}$ Horizontal cross sections: $\begin{array} { l } 0 \leq y \leq \ln 4 \\1 \leq x \leq 4\end{array}$

D) Vertical cross sections: $\begin{array} { c } e ^ { x } \leq x \leq \ln 4 \\0 \leq y \leq 4\end{array}$ Horizontal cross sections: $\begin{array} { l } 0 \leq y \leq 4 \\1 \leq x \leq \ln 4\end{array}$