Answer:
The ninth term? That would be 98.
Step-by-step explanation:
Notice how the numbers add 10 every time. If we keep doing that pattern until we get the ninth number, then we get this:
8, 18, 28, 38, 48, 58, 68, 78, 88, 98
Therefore, the answer is 98.
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)=
⇒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=
∑
=4
∑
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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Answer:
Angle formed by the sector measuring x% will be 126°.
Step-by-step explanation:
Since, sum of all sectors formed in a circle is 100%.
By adding the measures of all the sectors,
x + x + 21 + 9 = 100
2x + 30 = 100
2x = 70
x = 35%
Now we know sum of all the central angles formed at the center of a circle = 360°
Therefore, angle formed by x% = 360° × 35%
= 
= 126°
Answer:
3/x^2 or 3x^-2
54x^5
x^-1/3
Step-by-step explanation:
2 6x^3×9x^2=54x^3+2=54x^5
3 x^2/3 × x^-1=x^-1/3
50 - [(6² - 24) + 9√25]
= 50 - [36 - 24 + 9*5]
= 50 - [12 + 45]
= 50 - 57
= -7