A Water Tank Is Formed by Revolving the Curve $y = 3 x ^ { 4 }$

question 51

Multiple Choice

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, $y$ , fall? (Use Torricelli's Law: $\mathrm { dV } / \mathrm { dt } = - \mathrm { m } \sqrt { \mathrm { y } }$ .)

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

Recognize the structure and function of courts in the common law system.

Comprehend the principles underpinning the Canadian legal system, including the distinction between common law and civil law systems.

Understand the procedural and substantive differences between different types of laws, such as statute law, common law, and constitutional law.

Identify the sources of common law and their impact on current legal practices.

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Definitions:

Pointers

Variables that store memory addresses, typically of another variable.

Members of Structures

Variables defined within a struct in C/C++, which can represent different data types and are used to store related data under a single name.

Dot Operator

A symbol used in programming languages like C++ and Python for accessing attributes or methods of an object.

Indirection Operator

In programming, specifically C and C++, it is the asterisk (*) used to dereference a pointer, giving access to the value stored at the pointer's address.