Practice Applications - 6.3 | 6. System of Linear Equations | Mathematics - iii (Differential Calculus) - Vol 4
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6.3 - Applications

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is mesh analysis and how is it used in electrical circuits?

💡 Hint: Think about how currents are defined in different loops of a circuit.

Question 2

Easy

Define the finite element method in simple terms.

💡 Hint: Consider how breaking a shape into smaller pieces aids analysis.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is mesh analysis used for?

  • To analyze the stability of structures
  • To find the current in electrical circuits
  • To create computer graphics

💡 Hint: Think about how currents are calculated in loops.

Question 2

True or False: The finite element method can be used to predict how physical structures behave under loads.

  • True
  • False

💡 Hint: Consider the division of structures for better analysis.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a bridge structure modeled with finite elements. If you have the system of equations resulting from the analysis, describe how you would approach solving for internal forces using LU decomposition. What benefits does this method provide for larger systems?

💡 Hint: Focus on the efficiency of solving systems when using similar coefficient matrices.

Question 2

You are tasked with modeling the effect of a new tax policy on market equilibrium prices using systems of linear equations. Outline the steps you would take to formulate this model and solve it.

💡 Hint: Think about how tax changes influence both supply and demand!

Challenge and get performance evaluation