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

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 = 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: \(\begin{array} { l }
• 1 \leq y \leq 2 \\
• 0 \leq x \leq \ln y
• \end{array}\)

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Definitions:

Reasonable Force

The minimum amount of force necessary to protect oneself, others, or property while remaining legally justified under the circumstances.

Voluntary Manslaughter

The intentional killing of a human being without premeditation or malice, often occurring in the "heat of passion" or under circumstances that partially excuse or mitigate the action.

Murder in the Second Degree

A legal classification for homicides committed with intent but without the premeditation required for first-degree murder.

Criminal Intent

The mental state indicating that an individual intends to commit a crime or is aware that their actions would likely result in a crime.