The first thing you want to do is combine like terms. This means you should have all the x's on one side and the constants (numbers) on the other side. You can subtract 5x from both sides of the equation and then add 7 to both sides. This gives you -2x=26. Divide both sides be -2 to isolate the variable and your answer is x=-13. Hope this helped!
The expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Given an integral
.
We are required to express the integral as a limit of Riemann sums.
An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.
A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.
Using Riemann sums, we have :
=
∑f(a+iΔx)Δx ,here Δx=(b-a)/n
=f(x)=![x/2+x^{3}](https://tex.z-dn.net/?f=x%2F2%2Bx%5E%7B3%7D)
⇒Δx=(5-1)/n=4/n
f(a+iΔx)=f(1+4i/n)
f(1+4i/n)=![[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=%5Bn%5E%7B2%7D%28n%2B4i%29%5D%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
∑f(a+iΔx)Δx=
∑![n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n](https://tex.z-dn.net/?f=n%5E%7B2%7D%28n%2B4i%29%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D4%2Fn)
=4
∑![n(n+4i)/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=n%28n%2B4i%29%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
Hence the expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Learn more about integral at brainly.com/question/27419605
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The expression would be (5*6)+(5*6)=x
or you could shorten it and do (10*6)=x
Answer:
![(x+5)^{2} (x-2)](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%20%28x-2%29)
Step-by-step explanation:
1) Factor
using polynomial division.
![(x^{2} +10x+25)(x-2)](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2B10x%2B25%29%28x-2%29)
2) Rewrite
in the form
, where a = x and b = 5.
![(x^{2} +2(x)(5)+5^{2} )(x-2)](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2B2%28x%29%285%29%2B5%5E%7B2%7D%20%29%28x-2%29)
3) Use Square of Sum:
.
![(x+5)^{2} (x-2)](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%20%28x-2%29)
Last option is the correct answer
Answer:
ASA Postulate
Step-by-step explanation: