Step-by-step explanation:
We have given,
A rational function : f(x) = 
W need to find :
Point of discontinuity : - At x = 4, f(x) tends to reach infinity, So we get discontinuity point at x =4.
For no values of x, we get indetermined form (i.e
), Hence there is no holes
Vertical Asymptotes:
Plug y=f(x) = ∞ in f(x) to get vertical asymptote {We can us writing ∞ =
}
i.e ∞ = 
or 
or x-4 =0
or x=4, Hence at x = 4, f(x) has a vertical asymptote
X -intercept :
Plug f(x)=0 , to get x intercept.
i.e 0 = 
or x - 2 =0
or x = 2
Hence at x=2, f(x) has an x intercept
Horizontal asymptote:
Plug x = ∞ in f(x) to get horizontal asymptote.
i.e f(x) =
= 
or f(x) = 
or f(x) = 1 = y
hence at y =f(x) = 1, we get horizontal asymptote
Answer: 1.9 inches
Step-by-step explanation:
- the equation to find the volume of a cylinder is V = π r^2 h
- so we can just change this equation around to H = V / π r^2
- so H = 384/ π 8^2 = 1.91 or 1.9
hope this helps :)
C=2pir
r=9
c=2pi9
c=18pi
if we aprox pi=3.141592
c=56.54865 inches
Step-by-step explanation:
Let 3 litres of juice be divided into 5x, 3x and 4x parts.
