I believe Y = (so if practicing then try this, but if quiz I would double check.
Answer: greater than one
Step-by-step explanation:
1 is greater than -1 because when you subtract something you are removing something which in this case you wouldn't be removing anything except your number.
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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Answer:
m∠R = 60°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
<u>Step 2: Solve</u>
- Substitute in variables [sine]:
![\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20sin%28R%5E%5Ccirc%29%20%3D%20%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B20%7D)
- [Equality Property] Trig inverse:
![\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20R%5E%5Ccirc%20%3D%20sin%5E%7B-1%7D%28%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B20%7D%29)
- Evaluate trig:
![\displaystyle R = 60^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20R%20%3D%2060%5E%5Ccirc)