Practice Conditions for Applying the Method - 7.2 | 7. Solution by Undetermined Coefficients | Mathematics (Civil Engineering -1)
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Practice Questions

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Question 1

Easy

What form of functions can you use the method of undetermined coefficients on?

💡 Hint: Think of common mathematical functions.

Question 2

Easy

Give an example of a suitable polynomial function.

💡 Hint: Look for a function made up entirely of powers of x.

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

Which of the following is a suitable function for the method of undetermined coefficients?

  • A. ln(x)
  • B. x^2
  • C. tan(x)

💡 Hint: Recall the types of functions outlined in the section.

Question 2

True or False: The method of undetermined coefficients can be applied to the function f(x) = 2*sin(3x).

  • True
  • False

💡 Hint: Remember if sine and cosine functions are applicable.

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Challenge Problems

Push your limits with challenges.

Question 1

Is the function f(x) = e^x + sin(x) suitable for the method? Justify your answer.

💡 Hint: Think about how derivatives maintain their function types.

Question 2

Create a function involving a combination of a polynomial and an exponential that can be used in this method, and explain its suitability.

💡 Hint: Consider whether derivatives shift functions out of the usable types.

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