Solve the Problem $y = 3 x ^ { 4 }$

question 113

Multiple Choice

Solve the problem.
-A water tank is formed by revolving the curve $y = 3 x ^ { 4 }$ about the $y$ -axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, $\mathrm { y }$ , fall? (Use Torricelli's Law: $\mathrm { dV } / \mathrm { dt } = - \mathrm { m } \sqrt { \mathrm { y } }$ .)

• A) \(\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { - \mathrm { m } \pi } { \sqrt { 3 } }\)
• B) \(\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { - \mathrm { m } \sqrt { 3 } } { \pi }\)
• C) \(\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { - \pi } { \mathrm { m } \sqrt { 3 } }\)
• D) \(\frac { d y } { d t } = \frac { - \sqrt { 3 } } { m \pi }\)

Assess the validity of memory in special conditions, including eyewitness testimonies and child memories.

Determine the impact of encoding, storage, and retrieval processes on memory performance.

Understand the characteristics distinguishing various forms of political organization (band, tribe, chiefdom, state).

Identify mechanisms of political integration and conflict resolution in tribal societies.

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Definitions:

Oral Contract

An agreement between parties that is spoken and not written, yet is legally binding under certain conditions.

Indefinite Period

A time span without a specified end date.

Merger Clause

A contract clause providing that the written contract is the complete expression of the parties’ agreement. Also called integration clause.

Integration Clause

A provision in a contract that declares it to be the complete and final agreement between the parties, superseding all prior discussions or agreements.