To determine the equation of the line, we use the point slope form equation for this problem. It is expressed as:
y - y1 = m(x - x1)
We substitute the given values in the problem to the equation.
y - 2 = -5(x - 2)
y = -5x +10+2
y = -5x +12
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:
<h2>
The domain=3</h2>
Step-by-step explanation:
Answer:
b + r = 10 - - (1)
2r + 3b = 23 - - (2)
Step-by-step explanation:
Number of Blue pens in box A = b
Number of red pens in box A = r
BOX A :
Contains 10 pens that are either red or blue
b + r = 10
BOX B:
Contains 23 pens that are either red or blue ;
Red pens in box B = 2 tines the number of red pens in box A
Blue pens in box B = 3 times the number of blue pens in box A
2r + 3b = 23