Answer:
The function f(x) has a vertical asymptote at x = 3
Step-by-step explanation:
We can define an asymptote as an infinite aproximation to given value, such that the value is never actually reached.
For example, in the case of the natural logarithm, it is not defined for x = 0.
Then Ln(x) has an asymptote at x = 0 that tends to negative infinity, (but never reaches it, as again, Ln(x) is not defined for x = 0)
So a vertical asymptote will be a vertical tendency at a given x-value.
In the graph is quite easy to see it, it occurs at x = 3 (the graph goes down infinitely, never actually reaching the value x = 3)
Then:
The function f(x) has a vertical asymptote at x = 3
Answer:
(a) The Expected value of the job satisfaction score for senior executives is 4.05.
(b) The Expected value of the job satisfaction score for middle managers is 3.84.
(c) The Variance of job satisfaction scores for executives and middle managers is 1.13
(d) The Standard Deviation of job satisfaction scores for both probability distributions 1.11 and 1.06.
Step-by-step explanation:
Explanation with steps is in the following attachments.
Answer:
Step-by-step explanation:
cos x cos (3x)+sinx sin (3x)=0
cos (x-3x)=0
cos(-2x)=0
cos 2x=0=cos (2n+1)π/2
where n=0,1,2,3∞∞∞∞
2x=(2n+1)π/2
x=(2n+1)π/4
put n=0,1,2,3
x=π/4,3π/4,5π/4,7π/4
Step-by-step explanation:
they are all the same if you see closley
Answer: Volume = 796.6 cm³
Step-by-step explanation:
We would apply the formula for determining the volume of a cone which is expressed as
Volume = 1/3 × πr²h
Where
r represents the radius of the cone.
h represents the vertical height of the cone.
π is a constant whose value is 3.14
From the information given,
Diameter of cone = 18.6 cm
Radius = diameter/2
Radius = 18.6/2 = 9.3 cm
Height = 8.8cm
Therefore,
Volume = 1/3 × 3.14 × 9.3² × 8.8
Volume = 1/3 × 3.14 × 86.49 × 8.8
Volume = 796.6 cm³
