About 1.2 million people live in a region with a 6-mile radius what is the population destiny in people per square mile
1 answer:
Answer:
10616 people per square mile
Step-by-step explanation:
No. of people living in the region = 1.2 million
Radius of the area = 6 mile
Since radius of region is given, area of can be calculated by using formula to get area of circle which is where r is radius of circle.
the value of pie is 3.14 which will be used in the calculation
Area of region
population density of any place is calculated by dividing the total population of region with area of the region
mathematically it can be written as
population density of any place = the total population of region / area of the region
substituting the value of total population of region with 1.2 million and area of the region as calculated 113.04 square mile we have
population density of any place = 1.2 million/113.04 square mile
= 0.0106157113 million / square mile
Since one million is equal to 1,000,000
0.0106157113 million will be equal to 0.0106157113 * 1,000,000
= 10615.7113
rounding 10615.7113 nearest to unit value, it will be 10616.
Therefore, population density is 10616 people per square mile.
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By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
<h3>How to estimate a definite integral by numerical methods</h3>In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:
∫ f(x) dx = F(b) - F(a) (1)
The steps of Euler's method are summarized below:
- Define the function seen in the statement by the label f(x₀, y₀).
- Determine the different variables by the following formulas:
xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3) - Find the integral.
The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:
y(4) ≈ 4.189 648 - 0
y(4) ≈ 4.189 648
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
To learn more on Euler's method: brainly.com/question/16807646
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