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Why should y and ddxy be continuous everywhere?

Question

Why should y and ddxy be continuous everywhere?

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Solution

It seems like there might be some confusion in your question as "y" and "ddxy" are not inherently functions or variables that are universally understood to need to be continuous. However, I can provide a general explanation about why continuity might be important in a mathematical or physical system.

  1. Definition of Continuity: A function f(x) is said to be continuous at a certain point x=a if the following three conditions are met:
    • The function is defined at x=a, i

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