MATH 429/529, FALL 2017 MIDTERM 1 Instructions: This make-up is composed of ?? g
ID: 3184720 • Letter: M
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MATH 429/529, FALL 2017 MIDTERM 1 Instructions: This make-up is composed of ?? groups of problems which groups of problems on the original exam. (Some "groups" have just one problem.) For ec if you do better the second time around your new score will count in place of your ol scores are capped at 90%, both on individual problems, and overall. correspond to ?? d score. Retake If you got 9/10 or better on problem 1 of the original exam, you should skip problems 1) Give three numbers which form a Pythagorean triple, and three numbers which do not. 1 and 2 of this retake. Indicate which is which, and whether or not your Pythagorean triple is primitive. (2) Compute (10). There is no need to simplify. ocio q 67654324) 28 3 42 28 22 Glo (7-1)($5) ( 34-33)(24)) 4,Explanation / Answer
1.example of a pythagorean triple is (3,4,5) (as 5^2=3^2+4^2) and example of non pythagorean triple is (9,60,61)
pythagorean triple (3,4,5) is primitive as they don't share any common divisor.
2.) (10!) = (2^8 · 3^4 · 5^2 · 7) = (2^8 )(3^4 )(5^2 )(7) = (2 1)2^7 *(3 1)3^3*(5 1)5 *(7 1) = 2^11*3^4*5.
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