Answer:
A
Step-by-step explanation:
Month on x-axis and Log(mice) on y
Answer:
a 72
Step-by-step explanation:
9x10=90, so in total he has 90 pencils. if he loses 18 of them that's 90-18 which is 72.
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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Answer:
It falls to the left and falls to the right. You can use Geogebra. There you just type the formula and it makes graph from which you can see the directions
Answer:
Multiply row 2 by-1 and add it to row 3.
Step-by-step explanation:
The given augmented matrix is ![\left[\begin{array}{ccc}3&-21&15\\15&8&15\\-2&-1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-21%2615%5C%5C15%268%2615%5C%5C-2%26-1%263%5Cend%7Barray%7D%5Cright%5D)
The permissible row operations are:
1. Switching rows
2. Multiplying a row by a nonzero constant.
3. Adding/Subtracting two rows
Therefore the correct option is: Multiply row 2 by-1 and add it to row 3.