36 is the slope hopefully it helps
<span>"Y is inversely proportional to the cube of x" translates to Y = kx</span>³ where k is unknown constant. We need to solve for k.
So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k
So k = 3/8
Now we can solve for Y when x = 3
Y = (3/8)3³ = (3/8)27 = 81 / 8
Final answer: 81 / 8
Answer:
the answer is c. ........
The amount of salt in the tank changes with rate according to


which is a linear ODE in
. Multiplying both sides by
gives

so that the left side condenses into the derivative of a product,

Integrate both sides and solve for
to get


Given that
, we find

and we get the particular solution


Do it on a scientific calculator