Step-by-step explanation:
Let's say R is the initial radius of the sphere, and r is the radius at time t.
The volume of the sphere at time t is:
V = 4/3 π r³
Taking derivative with respect to radius:
dV/dr = 4π r²
This is a maximum when r is a maximum, which is when r = R.
(dV/dr)max = 4π R²
This is 4 times the sphere's initial great circle area, but not the great circle circumference. The problem statement contains an error.
Answer:
The graph's vertex would move 4 to the right and would become twice as wide.
Step-by-step explanation:
We can tell this because the x value of the vertex is the constant inside the parenthesis. In this case, the number changes from 11 to 15, which means it moves to the right by 4.
And with the 2 outside of the parenthesis instead of inside, it becomes more wide (since the 2 is not being squared).
For a function, if it has an inverse function, keep in mind that, the "domain of the original, is the range of the inverse, and the range of the original, is the domain of the inverse", what the dickens does that mean?
well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore
Step-by-step explanation:
The value of f(2) is -5.
Multiply it out and collect terms.
y = (x - 3)² + 36
y = (x² -6x +9) +36
y = x² -6x +45
