Step-by-step explanation:
What is the area of this polygon?
1 answer:
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Answer:
Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4
Step-by-step explanation:
Given : Samantha has a shelf that is 95 over 4 inches wide.
To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?
Solution :
The thickness of shelf = inches
Each book thickness = inches
Let the total number of books that could be arranged in the shelf be 'n'.
Substitute the values,
Therefore, option 1 is correct.
19, because the number of books is 95 over 4 divided by 5 over 4
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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