Practice Applications - 5.1.6 | 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 is an algebraic equation? Give an example.

💡 Hint: Think of polynomial expressions.

Question 2

Easy

What is a transcendental equation?

💡 Hint: Look for sin, log, or e in your examples.

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 the first step in applying the Bisection Method?

  • Choose any two points
  • Verify the function's continuity
  • Calculate the derivative

💡 Hint: Focus on the requirements of the method.

Question 2

True or False: The Secant Method requires derivative calculations.

  • True
  • False

💡 Hint: Think about the method's operational structure.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider the function f(x) = x^2 - 3x + 2. Use the Bisection method to find the root(s) in the interval [0,3].

💡 Hint: Make sure to keep track of the function values.

Question 2

Using the Newton-Raphson Method, find a root for g(x) = cos(x) - x, starting with an initial guess of x0 = 0.5.

💡 Hint: Calculate each derivative carefully for accuracy.

Challenge and get performance evaluation