# Quiz 18: Mathematics in Engineering

Engineering

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Q 2Q 2

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

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Q 3Q 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.

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Q 4Q 4

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

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Q 7Q 7

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.

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Q 8Q 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

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Multiple Choice

Q 9Q 9

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

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Q 10Q 10

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.

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Q 12Q 12

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?

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Q 17Q 17

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.

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Q 18Q 18

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.

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True False

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Q 20Q 20

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

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Multiple Choice

Q 21Q 21

The velocity of an object under constant acceleration can be modeled using the following function: v(t) = v0 + at where v = velocity
V0 = initial velocity
A = acceleration
T = time
Which type of mathematical model is used to describe velocity in this application?
A)Linear model
B)Nonlinear model
C)Exponential model
D)Logarithmic model

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Multiple Choice

Q 22Q 22

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: where y = vertical position of football relative to the ground y0 = vertical launch position of football relative to the ground
X = horizontal position of football relative to launch position
G = magnitude of gravitational acceleration
V0 = launch speed
Θ = launch angle relative to horizontal
Which type of mathematical model is used here to describe the football's trajectory?
A)Linear model
B)Nonlinear model
C)Exponential model
D)Trigonometric model

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Multiple Choice

Q 23Q 23

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: where y = vertical position of football relative to the ground (m) x = horizontal position of football relative to launch position (m)
How high above the ground is the football as it leaves the quarterback's hand?
A)0.002 m
B)0.2 m
C)2 m
D)7.7 m

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Multiple Choice

Q 24Q 24

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: where y = vertical position of football relative to the ground (m) x = horizontal position of football relative to launch position (m)
How high above the ground is the football when it is 30 meters downfield from the quarterback?
A)1.1 m
B)2.2 m
C)28 m
D)7.9 m

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Multiple Choice

Q 25Q 25

The position of an object subjected to constant acceleration can be described by the following function: where position (m) initial position (m) initial velocity (m/s) acceleration (m/s^2) time (sec) Which type of mathematical model is used here to describe the object's position?
A)Linear model
B)Nonlinear model
C)Exponential model
D)Trigonometric model

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Q 34Q 34

A company advertises a gadget at the regular price of $8, with a coupon for a second gadget at half price.The company sold 50 gadgets for a total of $364.How many coupons were redeemed?

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Q 35Q 35

Calculus is commonly divided into two broad areas:
A)single variable and multivariable calculus.
B)differential and integral calculus.
C)vector and matrix calculus.
D)linear and nonlinear calculus.

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Q 36Q 36

The rate of change refers to how a dependent variable changes with respect to an independent variable.

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Q 47Q 47

Many engineering problems are modeled using differential equations with a set of corresponding boundary and/or initial conditions.

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Q 48Q 48

What kind of mathematical model contains derivatives of functions?
A)nonlinear equation
B)differential equation
C)exponential equation
D)logarithmic equation

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Multiple Choice

Q 49Q 49

Boundary conditions provide information about what is happening physically at the boundaries of a problem.

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Q 50Q 50

Initial conditions tell us about the initial conditions of a system (at time t = 0), before a disturbance or a change is introduced.

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True False