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:
x = 58
Step-by-step explanation:
This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.
62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.
Using the EAP, we can conclude the following:
(x + 2) + (x) = 118
2x + 2 = 118
2x = 116
x = 58
Hope this helps
To find the x int, we will sub in 0 for y and solve for x...um...r
- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9
so the x int is (-9,0)
Answer:
h = 452.5 ft
Step-by-step explanation:
Angle of elevation from P to top of the pole = 65°
Horizontal distance between the pole and point P = 21 ft
By Applying tan rule in the given triangle ABP,
tan(∠APB) = 
tan(65°) = 
h = 21[tan(65°)]
h = 452.491
h ≈ 452.5 ft
Therefore, height of the pole is 452.5 ft.
In order for us to help you, you need to ask a question that deals with going under math section or a different subject.