Question 1

Find an equation of the line through (1,-3) with a slope of  .

Accepted Answer

The answer of Find an equation of the line through...

Question 2

In general, engineering problems are mathematical models of physical situations.

Accepted Answer

Engineering problems involve the use of mathematical equations and models to represent and solve physical situations.

Question 3

Greek alphabetic characters quite commonly are used to express angles, dimensions, and physical variables in drawings and in mathematical equations and expressions.It is therefore very important to be familiar with these characters in order to communicate with other engineers.

Accepted Answer

Greek alphabetic characters are commonly used in engineering and it is important to be familiar with them for effective communication.

Question 4

Hooke's Law describes the relationship between force F and deflection x in a spring according to the following equation:  .Which type of mathematical model is used in Hooke's Law?
A)Linear model
B)Nonlinear model
C)Exponential model
D)Logarithmic model

Accepted Answer

Hooke's Law is a linear equation, meaning that the relationship between force and deflection is proportional and can be graphed as a straight line.

Question 5

What is the name of the following Greek alphabetic character? 
A)Omega
B)Mu
C)Gamma
D)Lambda

Accepted Answer

The answer of What is the name of the following...

Question 6

For nonlinear models (equations) the slope is constant.

Accepted Answer

For nonlinear models, the slope is not constant but it changes at different points on the curve.

Question 7

The quantity or numerical value within a linear model that shows by how much the dependent variable changes each time a change in the independent variable is introduced is known as
A)the x-intercept.
B)the y-intercept.
C)the dependent intercept.
D)the slope.

Accepted Answer

The quantity or numerical value within a linear model that shows by how much the dependent variable changes each time a change in the independent variable is introduced is known as the slope.

Question 8

In the spring equation F = k x, the spring force, F is called
A)a dependent variable
B)an independent variable
C)none of the above

Accepted Answer

In the spring equation F = kx, the force F is dependent on the displacement x, and the constant k. Therefore, F is a dependent variable as it is determined by the value of x and k.

Question 9

What is the name of the following Greek alphabetic character? 
A)Omega
B)Mu
C)Gamma
D)Lambda

Accepted Answer

The answer of What is the name of the following...

Question 10

For many engineering situations, exponential and logarithmic models are used to describe the relationships between dependent and independent variables because they predict the actual relationships more accurately than linear models do.

Accepted Answer

Exponential and logarithmic models can better describe certain phenomena in engineering that follow a non-linear relationship between variables, such as growth or decay. Linear models are only appropriate for situations where the relationship between variables is directly proportional, which is not always the case in engineering.

Question 11

Mathematics is a language that has its own symbols and terminology.As an engineering student, you need to learn mathematical symbols and their meanings.

Accepted Answer

This is true because mathematics does have its own set of symbols and terminology that must be understood to effectively communicate and solve problems in the field.

Question 12

Find an equation of the line that passes through the points (-1,2) and (3,-4).

Accepted Answer

The answer of Find an equation of the line that...

Question 13

Find an equation of the line through (5,2) that is perpendicular to the line  .

Accepted Answer

The answer of Find an equation of the line through...

Question 14

Find an equation of the line through (5,2) that is parallel to the line  .

Accepted Answer

The answer of Find an equation of the line through...

Question 15

For many engineering situations, nonlinear models are used to describe the relationships between dependent and independent variables because they predict the actual relationships more accurately than linear models do.

Accepted Answer

Nonlinear models can capture more complex relationships between variables than linear models, making them more accurate in many engineering situations.

Question 16

What is the name of the following Greek alphabetic character? 
A)Epsilon
B)Zeta
C)Gamma
D)Lambda

Accepted Answer

The answer of What is the name of the following...

Question 17

In the spring equation F = k x, the deformation of the spring, x is called
A)a dependent variable
B)an independent variable
C)none of the above

Accepted Answer

The answer of In the spring equation F = k...

Question 18

The simplest form of models commonly used to describe a wide range of engineering situations is
A)linear equations.
B)nonlinear equations.
C)exponential equations.
D)logarithmic equations.

Accepted Answer

Linear equations are the simplest and most commonly used models in engineering. They are relatively easy to understand, solve, and graph, and they can describe a wide range of situations. Nonlinear, exponential, and logarithmic equations are more complex and are only used for specific situations where linear equations are not sufficient.

Question 19

Find the slope of the line that passes thru the points (2,1) and (8,5).

Accepted Answer

The answer of Find the slope of the line that...

Question 20

The pitch of a roof refers to its "steepness" and is expressed in terms of the number of inches the roof rises for each 12 inches of run.For example, an 8-12 pitch means that the roof rises 8 inches vertically for each 12 inches of horizontal run.What is the slope of a roof with an 8-12 pitch?

Accepted Answer

The answer of The pitch of a roof refers to...

Quiz 18: Mathematics in Engineering

Find an equation of the line through (1,-3) with a slope of .

In general, engineering problems are mathematical models of physical situations.

Greek alphabetic characters quite commonly are used to express angles, dimensions, and physical variables in drawings and in mathematical equations and expressions.It is therefore very important to be familiar with these characters in order to communicate with other engineers.

Hooke's Law describes the relationship between force F and deflection x in a spring according to the following equation: .Which type of mathematical model is used in Hooke's Law?

What is the name of the following Greek alphabetic character?

For nonlinear models (equations) the slope is constant.

The quantity or numerical value within a linear model that shows by how much the dependent variable changes each time a change in the independent variable is introduced is known as

In the spring equation F = k x, the spring force, F is called

What is the name of the following Greek alphabetic character?

For many engineering situations, exponential and logarithmic models are used to describe the relationships between dependent and independent variables because they predict the actual relationships more accurately than linear models do.

Mathematics is a language that has its own symbols and terminology.As an engineering student, you need to learn mathematical symbols and their meanings.

Find an equation of the line that passes through the points (-1,2) and (3,-4).

Find an equation of the line through (5,2) that is perpendicular to the line .

Find an equation of the line through (5,2) that is parallel to the line .

For many engineering situations, nonlinear models are used to describe the relationships between dependent and independent variables because they predict the actual relationships more accurately than linear models do.

What is the name of the following Greek alphabetic character?

In the spring equation F = k x, the deformation of the spring, x is called

The simplest form of models commonly used to describe a wide range of engineering situations is

Find the slope of the line that passes thru the points (2,1) and (8,5).

The pitch of a roof refers to its "steepness" and is expressed in terms of the number of inches the roof rises for each 12 inches of run.For example, an 8-12 pitch means that the roof rises 8 inches vertically for each 12 inches of horizontal run.What is the slope of a roof with an 8-12 pitch?