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)=
∑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.
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Im not sure on the syntax here, but i assume the question is (4/9)^-1
(4/9)^-1
= (4^-1)/(9^-1)
A negative power is an inverse of the positive power
i.e. x^-2 = 1/x^2
This is because if we have say x^3/x^5 we simplify it by cancelling x^3 which gives 1/x^2.
Another way to think of it is to subtract the power of the bottom x from the power of the top x: 3-5 = -2 so x^3/x^5 = x^-2.
I hope this explains how negitive powers are the inverse of the positive power.
So....
(4^-1)/(9^-1)
= 9/4
Because the inverse of 4 is 1/4 and the inverse of 1/9 is 9
Answer:
The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:
Step-by-step explanation:
The ideal mass of the chocolate is 2.5 ounces, although it can vary by 0.08 ounces, this variation can occur for greater masses and lesser ones. Therefore the actual mass of the each chocolate will sit between the ideal mass minus 0.08 and the ideal mass plus 0.08. Therefore we can construct the following inequality:
The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:
Because all 3 sides are given for both triangles you can use the SSS theorem
Answer:
3 to the powered of 7
Step-by-step explanation: