1) If x, y, z are consecutive integers in order then 9 | (x+y+z) ⟺ 3...

1) If x, y, z are consecutive integers in order then 9 | (x+y+z) ⟺ 3 | y. (Do proof)

2) Let x, y be consecutive even integers then (x+y) is not divisible by 4. (Show proof and state why it was used)

Expert Solution

Here I'm using definition of divides.a|b means b=ak for any integer k.also any three integer written in form is 2k,2k+1,2k+2. All proof are below thank you.

Colby Messinger answered 2 years ago

1A) Use surface integral to evaluate the flux of F(x,y,z) =<x^3,y^3,z^3> across the cylinder x^2+y^2=1, 0<=z<=2...

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