WGU C877 - MATH 3100 Mathematical Modelling & Applications - Complete OA Review 2024

C877 MATH 3100




Mathematical Modelling &
Applications




COMPLETE OA REVIEW




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,1. Which of the following is a valid application of differential
equations in real-world scenarios?
a) Modeling population growth
b) Predicting stock market trends
c) Designing algorithms for web search engines
d) Representing vocabulary databases
- Answer: a) Modeling population growth
- Rationale: Differential equations are extensively used to
model population dynamics, considering birth and death rates.
They are not typically used directly in designing algorithms or
representing databases.


2. Which numerical method is frequently used for solving
ordinary differential equations (ODEs)?
a) Fourier Transform
b) Euler's Method
c) Principal Component Analysis
d) Monte Carlo Simulation
- Answer: b) Euler's Method
- Rationale: Euler's Method is a simple and commonly used
numerical method for approximating solutions to ODEs.

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, 3. Which of the following mathematical models is typically used
to optimize resource allocation?
a) Linear Programming
b) Poisson Distribution
c) Bayesian Networks
d) Random Walk
- Answer: a) Linear Programming
- Rationale: Linear Programming is a method used to achieve
the best outcome in a mathematical model whose requirements are
represented by linear relationships.


4. In the context of Markov Chains, what does the 'state space'
represent?
a) The probability distribution
b) The possible states the process can be in
c) The transition matrix
d) The time metric
- Answer: b) The possible states the process can be in
- Rationale: The state space of a Markov Chain refers to the set
of all possible states the process can occupy.


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