Practice Conditions For Applying The Method (7.2) - Solution by Undetermined Coefficients

Practice: Conditions for Applying the Method

Lesson 7.2Solution by Undetermined Coefficients

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8 questions

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6 sample questions

Question 1.
What form of functions can you use the method of undetermined coefficients on?
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Think of common mathematical functions.
Question 2.
Give an example of a suitable polynomial function.
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Look for a function made up entirely of powers of x.
3Question 3.
Which of the following is a suitable function for the method of undetermined coefficients?
- A. ln(x)
- B. x^2
- C. tan(x)
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Recall the types of functions outlined in the section.
4Question 4.
True or False: The method of undetermined coefficients can be applied to the function f(x) = 2*sin(3x).
- True
- False
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Remember if sine and cosine functions are applicable.
Question 5.
Is the function f(x) = e^x + sin(x) suitable for the method? Justify your answer.
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Think about how derivatives maintain their function types.
Question 6.
Create a function involving a combination of a polynomial and an exponential that can be used in this method, and explain its suitability.
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Consider whether derivatives shift functions out of the usable types.

4 more questions in this section. Enroll free to practise them all.