Practice Introduction - 5.1.1 | 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

What are algebraic equations? Provide an example.

πŸ’‘ Hint: Remember the operations involved: addition, subtraction, multiplication, etc.

Question 2

Easy

What is an example of a transcendental equation?

πŸ’‘ Hint: Think about functions that are not polynomials.

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 equations often require numerical methods for solutions?

  • Algebraic Equations
  • Linear Equations
  • Transcendental Equations

πŸ’‘ Hint: Consider the nature of transcendental functions.

Question 2

True or False: The Bisection Method requires the derivative of the function.

  • True
  • False

πŸ’‘ Hint: Recall the conditions for the Bisection Method.

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Challenge Problems

Push your limits with challenges.

Question 1

Given the equation π‘₯Β² - 5 = 0, apply the Bisection Method to find a root with an interval of [2, 3] and a tolerance of 0.01. Demonstrate your calculations.

πŸ’‘ Hint: Start calculating f(2) and f(3) and check the value of the function.

Question 2

For the equation 𝑒ˣ = 3π‘₯, apply the Newton-Raphson method starting with an initial guess of 1. Find the root up to three decimal places.

πŸ’‘ Hint: Make sure to differentiate the function to get your f'(x).

Challenge and get performance evaluation