I'll assume that's an exponent at the end there:

The first derivative gives the velocity. The second derivative gives the acceleration; increasing velocity is the same as positive acceleration. So we want to find when the second derivative is positive.
Let's see if we can use
to avoid multiplying this out.

That worked; let's do it again:


That's a nice parabola. It's zero or negative for
so positive everywhere else:
Answer: Increasing velocity when t < 1 or t > 3
Answer:
3
Step-by-step explanation:
We can start by writing one fourth as a fraction
1/4
Then we multiply it by 12.
1/4*12
This also means 12 divided by 4 which is 3.
Answer:
Increases 64 times
Step-by-step explanation:
The volume of the box can be calculated using formula

where
V = volume,
l = length,
w = width,
h = height
If the length was 0.3 inches, then the volume was

When the length became 1.2 inches, then all dimensions became
times greater, then the volume was

The volume increases
times
15 - 3/4x = -9
-3/4x +15 = -9
-3/4x = -24
(-3/4x) * (4/-3) = (4/-3) * -24
x = 32