The balloon has a volume 
dependent on its radius 
:
Differentiating with respect to time 
gives
If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of
The surface area of the balloon is
and differentiating gives
so that at the moment the radius is 3 m, its area is increasing at a rate of
Using the Pythagorean Theorem,
radius^2 = 40^2 + 9^2
radius^2 = 1,600 + 81
radius^2 = 1,681
radius = 41
Answer:
C
Step-by-step explanation:
I substituted the x value with the different options. I kept doing that until the equation made sense.
Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:
Or:
We are given
Let's test if they are inverse functions:
Simplifying:
Now find:
Operating:
Thus, f and g are inverse functions
Answer:
18.5
Step-by-step explanation:
Since she was paid $111 for 6 hours, you divide 111/6 to get 18.5
