Chapter 5, Problem 5.8E

Interpretation Introduction

(a)

Interpretation:

Transfer function relating to $\text{H'}$ and ${\text{Q'}}_{\text{1}}$ needs to be determined.

Concept introduction:

Function defines the relation between the one variable(independent) to anther variable(dependent).

This relationship primarily symbolized as $\text{y=f}\left(\text{x}\right)$, in addition to $\text{f}\left(\text{x}\right)$ and other symbols like as $\text{g}\left(\text{x}\right)$ and $\text{P}\left(\text{x}\right)$ are frequently used for representing the functions of an independent variable $\text{x}$, when the nature of the function is unknown or unspecified.

For example, If a variable $\text{y}$ is so related to a variable $\text{x}$ that whenever a numerical value is assigned to $\text{x}$, there is a rule according to which a unique value of $\text{y}$ is found out then $\text{y}$ is said to be a function of the independent $\text{x}$ variable.

Interpretation Introduction

(b)

Interpretation:

For the change in input $\text{h}\left(\text{t}\right)$ derive the expression.

Concept introduction:

Function defines the relation between one variable(independent) and another variable(dependent).

This relationship primarily symbolized as $\text{y=f}\left(\text{x}\right)$, in addition to $\text{f}\left(\text{x}\right)$ and other symbols like as $\text{g}\left(\text{x}\right)$ and $\text{P}\left(\text{x}\right)$ are frequently used for representing the functions of an independent variable $\text{x}$, when the nature of the function is unknown or unspecified.

Interpretation Introduction

(c)

Interpretation:

The value of new steady state of liquid level $\overline{\text{h}}$ needs to be determined.

Concept introduction:

Function defines the relation between the one variable(independent) to anther variable(dependent).

This relationship primarily symbolized as $\text{y=f}\left(\text{x}\right)$ ,in addition to $\text{f}\left(\text{x}\right)$ and other symbols like as $\text{g}\left(\text{x}\right)$ and $\text{P}\left(\text{x}\right)$ are frequently used for representing the functions of an independent variable $\text{x}$, when the nature of the function is unknown or unspecified.

For example, If a variable $\text{y}$ is so related to a variable $\text{x}$ that whenever a numerical value is assigned to $\text{x}$, there is a rule according to which a unique value of $\text{y}$ is found out then $\text{y}$ is said to be a function of the independent $\text{x}$ variable.

Interpretation Introduction

(d)

Interpretation:

For change in input $\text{h}\left(\text{t}\right)$, the expression stating new liquid level value needs to be derived.

Concept introduction:

Function defines the relation between the one variable(independent) to anther variable(dependent).

This relationship primarily symbolized as $\text{y=f}\left(\text{x}\right)$, in addition to $\text{f}\left(\text{x}\right)$ and other symbols like as $\text{g}\left(\text{x}\right)$ and $\text{P}\left(\text{x}\right)$ are frequently used for representing the functions of an independent variable $\text{x}$, when the nature of the function is unknown or unspecified.