- #1
Tomp
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I'm doing a question and I am getting stuck and need help. I am not sure where to start or how to do a proof for this question. We have not done a question like this in class before.
Question:
Consider the continuous functions f(x) = 1 - e^(x)*sin(x) and g(x) = 1 + e^(x)*cos(x). Using Rolle's Theorem, prove that between any two roots of f there exists at least one root of g.
Hint
Remember that, a root of f is a point x in the domain of f such that f(x) = 0.
Where would you start with this proof?
Homework Statement
Question:
Consider the continuous functions f(x) = 1 - e^(x)*sin(x) and g(x) = 1 + e^(x)*cos(x). Using Rolle's Theorem, prove that between any two roots of f there exists at least one root of g.
Hint
Remember that, a root of f is a point x in the domain of f such that f(x) = 0.
Where would you start with this proof?