For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?
1 answer:
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To solve this problem we can use system of equations.
First equation can be
321=x+y
where x - ppl between 4-17 and y - adult
second equation can be as follows
1590=6*y+4*x
So we have
From first equation we get value of x in times of y
x=321-y
Now we can substitute it into second eq.
1590=6y+4(321-y)
now simply if
1590=6y+1284-4y /-1284 both sides
306=2y /:2 divide both sides by 2
y=153
Now we can back substitude
x=321-153
x=168
So we get result
First equation can be
321=x+y
where x - ppl between 4-17 and y - adult
second equation can be as follows
1590=6*y+4*x
So we have
From first equation we get value of x in times of y
x=321-y
Now we can substitute it into second eq.
1590=6y+4(321-y)
now simply if
1590=6y+1284-4y /-1284 both sides
306=2y /:2 divide both sides by 2
y=153
Now we can back substitude
x=321-153
x=168
So we get result