A vertical asymptote occurs when function limit goes to infinity.
cot is reciprocal of tangent.
cot = 1/tan, Find where tan = 0, since 1/0 goes to infinity.
tan(a) = 0 when a = 0,pi
Now Apply coefficient inside cot function.
x/2 = 0,pi
x = 0, 2pi
Therefore, vertical asymptotes occur when x = 0 or 2pi
You did not show the cone or give its dimensions, however we can solve for the general case:
V=(hπr^2)/3 This will be our initial volume.
And we are told that the volume leaving the cylinder is:
V=15t
So the remaining liquid at any time t, we have:
V=(hπr^2)/3-15t
All of the fluid will have been removed when V=0 so
(hπr^2)/3-15t=0
(hπr^2)/3=15t now divide both sides by 15
t=(hπr^2)/45 minutes, where h=height of cone, r=radius of cone
And since you are asked to approximate π≈3.14
t=(3.14hr^2)/45, now you just have to plug in the height and radius of the cone to solve for how many minutes it will take for the cone to empty.
So the length of the house is 15 so 15 x 2 or 15+15= 30. And the withht is 4 so 4 x 2 or 4+4= 8 so 30+8= 38
The table that represents a function is:
<h3>What is a Function?</h3>
A function is an expression that represents the relationship between two variables. The variables in this case are the dependent and independent variables.
To identify a function, you need to note that no variable of x should be equal to y.
The formular is represented this way: y = f(x). The table that satisfies this condition is the Y table.
Learn more about functions here:
brainly.com/question/10439235
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