The volume of a box can be found by multiplying the length, width, and height of the box. If the length width and height of the
1 answer:
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Lets get started :)
f(x) =
- 2
y =
- 2
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =
- 2
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =
Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
f(x) =
y =
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =
Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
1. I suppose the ODE is supposed to be
Solving for gives
which is undefined when . The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted - or
- and
- or
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for easier. Given that
, we get
and so our solution is
For this case we have the following expression:
If we add to both sides of the equation we have:
To eliminate the roots we must raise both sides to the cube:
So, the correct option is the option c
Answer:
Option C