10.1.2 - Inverse Fourier Cosine Transform
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Practice Questions
Test your understanding with targeted questions
Define the Inverse Fourier Cosine Transform.
💡 Hint: Recall the mathematical expression for the inverse transform.
What condition must f(x) satisfy for the Inverse Fourier Cosine Transform?
💡 Hint: Think about continuity and how integrals behave.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Inverse Fourier Cosine Transform do?
💡 Hint: Think about the purpose of the transform.
True or False: The function must be continuous for the Inverse Fourier Cosine Transform to apply.
💡 Hint: Consider the conditions needed for Fourier transforms.
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Challenge Problems
Push your limits with advanced challenges
Solve the deflection equation of a cantilever beam under a distributed load using the Inverse Fourier Cosine Transform.
💡 Hint: Start with finding the Fourier Cosine Transform of the load.
Show how to apply the Inverse Fourier Cosine Transform to recover the temperature profile in a semi-infinite rod after a sudden temperature change at one end.
💡 Hint: Think about how the boundary conditions influence the solution.
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