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Use Inequalities to Describe R in Terms of Its Vertical ex≤x≤20≤y≤ln⁡2\begin{aligned}e ^ { x } & \leq x \leq 2 \\0 & \leq y \leq \ln 2\end{aligned}

Question 18

Multiple Choice

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


A) Vertical cross sections: ex≤x≤20≤y≤ln⁡2\begin{aligned}e ^ { x } & \leq x \leq 2 \\0 & \leq y \leq \ln 2\end{aligned} Horizontal cross sections: 0≤y≤ln⁡21≤x≤2\begin{array} { l } 0 \leq y \leq \ln 2 \\1 \leq x \leq 2\end{array}
B) Vertical cross sections: ex≤x≤ln⁡20≤y≤2\begin{aligned}e ^ { x } & \leq x \leq \ln 2 \\0 & \leq y \leq 2\end{aligned} Horizontal cross sections: 0≤y≤21≤x≤ln⁡2\begin{array} { l } 0 \leq y \leq 2 \\1 \leq x \leq \ln 2\end{array}
C) Vertical cross sections: 0≤x≤ln⁡yex≤y≤2\begin{aligned}0 & \leq x \leq \ln y \\e ^ { x } & \leq y \leq 2\end{aligned} Horizontal cross sections: 1≤y≤20≤x≤ln⁡2\begin{array} { l } 1 \leq y \leq 2 \\0 \leq x \leq \ln 2\end{array}
D) Vertical cross sections: 0≤x≤ln⁡2ex≤y≤2\begin{aligned}0 & \leq x \leq \ln 2 \\e ^ { x } & \leq y \leq 2\end{aligned} Horizontal cross sections: 1≤y≤20≤x≤ln⁡y\begin{array} { l } 1 \leq y \leq 2 \\0 \leq x \leq \ln y\end{array}

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