Answer:
This is the same as writing -0.5(x^2+1)^5 + 2.5
==========================================================
Explanation:
We take the integral to find the original f(x) function. Another term for "integral" is "antiderivative", which basically is the inverse of a derivative. There's more to the story, but this is the basic idea.
Apply a u-substitution
u = x^2+1
du/dx = 2x
du = 2xdx
xdx = du/2 = 0.5du
So,
This means that
To determine the constant C, we plug in x = 0 and replace f(x) with 2.
This is directly from the fact that f(0) = 2.
Therefore,
---------------------------------------------------
Checking the answer:
Plug in x = 0. You should find that f(0) = 2. I'll let you do these steps.
Apply the derivative and use the chain rule to find:
The answer is fully confirmed. Another way you can confirm the answer is to use free tools like GeoGebra or WolframAlpha. I show an example of this in the screenshot below.
Answer:
g > 8
Step-by-step explanation:
25g > 200, so divide 200 by 25, and you get 8. Since the original symbol was >, keep it.
Answer:
0.14 I am baka and gave this person the wrong answer so umm yeah.
Step-by-step explanation:
4.90 I got this by multiplying 35% by 14