Free Bachelor of Mathematics: Applied Mathematics Problem Solving Questions and Answers

Question 1

What is the primary focus of applied mathematics?

Accepted Answer

Applying mathematical methods to real-world issues

Answer

Developing abstract mathematical theories

Answer

Solving fictional problems

Answer

Analyzing historical mathematical concepts

Question 2

What is the function used to find global and local extrema and stationary points while imposing a constraint?

Accepted Answer

f(x) = x e^x (-x + 1)

Answer

f(x) = x^2 + 3x - 5

Answer

f(x) = sin(x) + cos(x)

Answer

f(x) = ln(x)

Question 3

What is the significance of the critical points of a function?

Accepted Answer

They are the points where the function's derivative is zero or undefined

Answer

They are the highest points of the function

Answer

They are the points where the function is undefined

Answer

They are the points where the function's value is infinity

Question 4

What is the estimated number of baseballs required to fill the interior volume of a Boeing 747?

Accepted Answer

4.8 million baseballs

Answer

5 million baseballs

Answer

6 million baseballs

Answer

3.5 million baseballs

Question 5

Which object's volume and packing density are considered when estimating the number of objects required to fill a container?

Accepted Answer

Baseball

Answer

Basketball

Answer

Tennis ball

Answer

Soccer ball

Question 6

What is the mathematical concept used to plot fractals over real and complex domains?

Accepted Answer

Dynamical systems

Answer

Linear equations

Answer

Differential equations

Answer

Trigonometric functions

Question 7

What is the iteration rule used for plotting the Mandelbrot set?

Accepted Answer

z_(n + 1) = z_n^2 + c | z_0 = 0

Answer

x_(n + 1) = 2x_n - 3

Answer

y_(n + 1) = y_n + 1

Answer

z_(n + 1) = e^(z_n)