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Undergrad Number of Binary Operations on a Set with a Special Property
Hello all, The question I am tackling is as follows: I was wondering if any of you could look over my solution and tell me if my logic is correct. Any feedback would be great!- Expiring
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- Forum: Linear and Abstract Algebra
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Undergrad Showing That a Function Does Not Have Two Distinct Roots
It is part of the problem that I mistakenly left out. I fixed my original post. -
Undergrad Showing That a Function Does Not Have Two Distinct Roots
I am wondering if someone can look over my proof, and point out any mistakes I might have made.There is no value of m such that x^3 - 3x + m = 0 has two distinct roots on the interval 0 <= x <= 1. Proof. Let f(x) = x^3 - 3x + m. Suppose, to the contrary, that there is a value of m such that f... -
Undergrad Is My Proof of the Chain Rule Correct?
I am currently self-studying Taylor and Mann's Advanced Calculus (3rd edition, specifically). I stumbled across their guidelines for a proof of the chain rule, leaving the rest of the proof up to the reader to complete. I was wondering if someone could look over my proof, and point out any...