Answer:
Step-by-step explanation:
Trinomials can be factored as (x + p)(x + q), where both p and q are positive,
when both b and c are positive in:
<u>One option is correct:</u>
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:
the optional answer is A
Step-by-step explanation:
the reason y it A because all of the others doesn't add up to the correct amout
Answer:

Step-by-step explanation:
This is a separable equation with an initial value i.e. y(3)=1.
Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:

Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):

Integrate on both sides:

Use initial condition i.e. y(3) = 1:

Taking exponents on both sides to remove "ln":