Advanced Calculus 1 Sample test

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I need help solving my Advanced Calculus 1 sample test. Please be very detailed.

Advance Calculus I Test 1 Name:________________________________ Time allowed: 50 minutes Show your working. All questions carry equal number of points. 1. Let A, B are sets. a. Define the set A B. b. Prove that A B C A B A C. c. Prove that A B C A B A C. 2. a. Define a set to be countable. b. Prove that the set of real numbers between 0 and 1 is uncountable. 3. a. Prove that there does not exist a rational number r such that r 2 2. R is irrational, and r R is rational, show that r b. Prove that if and r are irrational. 4. Use the supremum property on R to prove the following Archimedean Property: If x there is a natural number n N such that x n. R, then

Tutor Answer

School: UC Berkeley

Hey, Please find below the full assignment. If y...

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Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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