If y is inversely proportional to (tan x) and y = 2 when x = 30°, find the value of y when this value
of x is doubled.​

Step-by-step explanation:

y is inversely proportional to tan x means  

Given y = 2 when x =30° . So we will find k.

Now x is doubled, x = 60°, find y

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

5

step-by-step explanation: