Complete the solution of the equation. Find the value of y when x equals 7. x - 4y = 19 Enter the correct answer.
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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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<u>Answer:</u>
The interest after 3 years is $360
<u>Explanation:</u>
Given the principal amount (P) = $3000
Rate of interest (R) = 0.04
Time period (T) is given as 3 years
The Simple Interest is calculated by the formula;
Substituting the values in the above formula,
SI = $360
Therefore, the interest after 3 years is $360