Answer:
When we have a function like:
This function will have a discontinuity only if it diverges, and a divergence can happen when the denominator is equal to zero and the numerator is different than zero.
In this case, we have the equation:
Here the denominator is:
h(x) = x + 2
This is equal to zero when:
x + 2 = 0
x = -2
Now we need to see what happens with the numerator when x = -2
g(-2) = (-2)^2 + 2*(-2) = 0
Is equal to zero.
Then we need to see the limit when x -> -2, and use the L'Hopital theorem.
Because we have zero over zero at that point, we need to look at the quotients of the derivatives of both numerator and denominator.
Then the function does not diverge, then the function has no discontinuity.
We also could look at the graph of f(x) to see it:
Our function is a linear function, and this is because the numerator is x times the denominator, then the function is:
f(x) = x.
f (x) = 3/4 x ^2 + 2x − 5
f(x) = 4/x^2 - 2/x + 1
f(x) = 0x^2 − 9x + 7
Answer:
it cannot be converted to radical form
Step-by-step explanation:
The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
Boyle's Law states that If the temperature is constant, the volume of a gas is inversely proportional to the absolute pressure.
V 1/V2 =P2/P1
V2 = P1 x V1 /P2
Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2
V2 = 40 x 14.7 / 60
V2 = 9.8 cu.ft
Volume is approximately 10 cu.ft.
Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
Learn more about Boyles law.
#SPJ2
Answer:
50 cu ft
Step-by-step explanation: