I believe that the answer is frequency. :)
Answer:
a.![\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{Dx+E}{x^2+5}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7Bx%7D%2B%5Cfrac%7BB%7D%7Bx%5E2%7D%2B%5Cfrac%7BC%7D%7Bx%5E3%7D%2B%5Cfrac%7BDx%2BE%7D%7Bx%5E2%2B5%7D)
b.![\frac{A}{x+3}+\frac{B}{x-3}+\frac{C}{(x-3)^2}+\frac{D}{(x+3)^2}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7Bx%2B3%7D%2B%5Cfrac%7BB%7D%7Bx-3%7D%2B%5Cfrac%7BC%7D%7B%28x-3%29%5E2%7D%2B%5Cfrac%7BD%7D%7B%28x%2B3%29%5E2%7D)
Explanation:
a.We are given that
![\frac{x^4+7}{x^5+5x^3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E4%2B7%7D%7Bx%5E5%2B5x%5E3%7D)
![\frac{x^4+7}{x^5+5x^3}=\frac{x^4+7}{x^3(x^2+5)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E4%2B7%7D%7Bx%5E5%2B5x%5E3%7D%3D%5Cfrac%7Bx%5E4%2B7%7D%7Bx%5E3%28x%5E2%2B5%29%7D)
Using partial fraction decomposition of the given function
![\frac{x^4+7}{x^3(x^2+5)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{Dx+E}{x^2+5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E4%2B7%7D%7Bx%5E3%28x%5E2%2B5%29%7D%3D%5Cfrac%7BA%7D%7Bx%7D%2B%5Cfrac%7BB%7D%7Bx%5E2%7D%2B%5Cfrac%7BC%7D%7Bx%5E3%7D%2B%5Cfrac%7BDx%2BE%7D%7Bx%5E2%2B5%7D)
Using the formula
![\frac{1}{x^3(x^2+a)}=\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{Dx+E}{x^2+a}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E3%28x%5E2%2Ba%29%7D%3D%5Cfrac%7BA%7D%7Bx%7D%2B%5Cfrac%7BB%7D%7Bx%5E2%7D%2B%5Cfrac%7BC%7D%7Bx%5E3%7D%2B%5Cfrac%7BDx%2BE%7D%7Bx%5E2%2Ba%7D)
b.![\frac{2}{(x^2-9)^2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%28x%5E2-9%29%5E2%7D)
![\frac{2}{(x^2-3^2)^2}=\frac{2}{(x+3)^2(x-3)^2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%28x%5E2-3%5E2%29%5E2%7D%3D%5Cfrac%7B2%7D%7B%28x%2B3%29%5E2%28x-3%29%5E2%7D)
Using property ![a^2-b^2=(a+b)(a-b)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29)
![\frac{2}{(x+3)^2(x-3)^2}=\frac{A}{x+3}+\frac{B}{x-3}+\frac{C}{(x-3)^2}+\frac{D}{(x+3)^2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%28x%2B3%29%5E2%28x-3%29%5E2%7D%3D%5Cfrac%7BA%7D%7Bx%2B3%7D%2B%5Cfrac%7BB%7D%7Bx-3%7D%2B%5Cfrac%7BC%7D%7B%28x-3%29%5E2%7D%2B%5Cfrac%7BD%7D%7B%28x%2B3%29%5E2%7D)
Using the property
![\frac{1}{x^2}=\frac{A}{x}+\frac{B}{x^2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E2%7D%3D%5Cfrac%7BA%7D%7Bx%7D%2B%5Cfrac%7BB%7D%7Bx%5E2%7D)
True
because producers make their own food without depending on others. So in this case plants are producers is true because they make their own food with photosynthesis.
Answer:
Cuttlebone, also known as cuttlefish bone, is a hard, brittle internal structure found in all members of the family Sepiidae, commonly known as cuttlefish, a family within the cephalopods. Cuttlebone is composed primarily of aragonite. i hope that helps u
Explanation:
Answer: The Statement that best describes the role of phosphorus in the body is that:
a. used to build proteins
Explanation: Phosphorus in the body helps to build up proteins for growth, maintenance, and repair of cells and tissues.