Answer:
Step-by-step explanation:
![a.\\\frac{d}{dx}(\frac{-1}{1+x^2} )=\frac{d}{dx} [-1(1+x^2)^{-1}]=-1(-1)(1+x^2)^{-2}(2x)=\frac{2x}{(1+x^2)^2 }\\](https://tex.z-dn.net/?f=a.%5C%5C%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7B-1%7D%7B1%2Bx%5E2%7D%20%29%3D%5Cfrac%7Bd%7D%7Bdx%7D%20%5B-1%281%2Bx%5E2%29%5E%7B-1%7D%5D%3D-1%28-1%29%281%2Bx%5E2%29%5E%7B-2%7D%282x%29%3D%5Cfrac%7B2x%7D%7B%281%2Bx%5E2%29%5E2%20%7D%5C%5C)
b.
put 1+x²=u
2x dx=du
when x=0,u=1
when x=2,u=1+2²=5

Answer:

Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be
since there are two factors and 6 possible options.
This means, logically, there is a
chance of not rolling a factor of 35.
Hope this helped!
Sorry, is there more info so I can answer??
It should look like how you would feel comfortable.
Here's an example of my desk:
Answer:
3
Step-by-step explanation: