Practice Types of Equations - 5.1.2.1 | 5. Solution of Algebraic and Transcendental Equations | Mathematics - iii (Differential Calculus) - Vol 4
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define an algebraic equation.

πŸ’‘ Hint: Think of simple math expressions.

Question 2

Easy

What is the Bisection Method?

πŸ’‘ Hint: Recall the interval where the function changes signs.

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 type of equation includes polynomial expressions?

  • Algebraic
  • Transcendental
  • Both

πŸ’‘ Hint: Think about basic algebra.

Question 2

The Newton-Raphson Method requires knowledge of what?

  • True
  • False

πŸ’‘ Hint: What do you need to draw a tangent line?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Solve the transcendental equation sin(x) = 0.5 using the Newton-Raphson method starting with an initial guess of x = 0.5.

πŸ’‘ Hint: Remember to update using: `x_{n+1} = x_n - f(x_n) / f'(x_n)`.

Question 2

Create a practical example where you might encounter a transcendental equation in a real-world engineering scenario, and outline the necessary numerical method to solve it.

πŸ’‘ Hint: Identify the rearrangement of the equation you could use.

Challenge and get performance evaluation