cot is cos/sin so anywhere sin x = 0, cot x will have a vertical asymptote.
That happens when x = 0, 1?, 2?, -1? and -2? if that is what you meant by your question.
Add the first two getting 13.0618 at an angle of 18.3º E of N
then add the third making an angle of 41.7º between the first resultant and the third vector.
So its magnitude is 9.5 m
But there were a lot of calculations in there so plenty of chances for error; don't bet the house on this answer
People change. Like me for instance; I used to be a political conservative but after listening to Rush Limbaugh and Michael Savage and Sean Hannity and how silly they sound, I have changed my outlook. Nothing else in my life changed though.
You are right about the negation of simple sentences: just put "not" in, or if it has not already, take it out.
Disjunctions, with "or", are true as long as at least one part is true. So the only way it can be false is is both parts are false.
That symbolic statement would be
The coffee is...
x = price
so the inequality you need is
2600 + 0.02x < 800 + 0.10x
-2600 - 0.10x -2600 - 0.10x
-------------------------------
-0.08x < -1800
divide both sides by -0.08 and remember to switch the inequality since you divided it by a negative