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Tanzania [10]
2 years ago
6

Y=5/3x + 3 in ordered pairs

Mathematics
2 answers:
Murljashka [212]2 years ago
8 0
These are three possible solutions to the equation. (
0
,
−
3
)
,
(
1
,
−
4
3
)
,
(
2
,
1
3
)

Svetach [21]2 years ago
8 0

Answer:

(3,8) ; (-3,-2) ; (6,13)

Step-by-step explanation:

A linear equation in <u>Slope</u><u> Intercept</u><u> Form</u> is given to us and we need to write the ordered pairs for x and y . The given equation is ,

\rm\implies y =\dfrac{5}{3}x + 3

For finding the ordered pairs , substitute different values of x to get different values of y.

<u>Put</u><u> </u><u>x </u><u>=</u><u> </u><u>3 </u><u>:</u><u>-</u><u> </u>

\rm\implies y =\dfrac{5}{3}\times 3 + 3

\rm\implies y = 5+ 3

\rm\implies y =8

<u>Put </u><u>x </u><u>=</u><u> </u><u>-</u><u>3</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y =\dfrac{5}{3}\times -3 + 3

\rm\implies y = -5+ 3

\rm\implies y =-2

<u>Put </u><u>x </u><u>=</u><u>6</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y =\dfrac{5}{3}\times 6 + 3

\rm\implies y = 10+ 3

\rm\implies y =13

<u>Therefore</u><u> </u><u>,</u>

\small\implies\boxed{\rm\blue{ Odered \ Pairs \ = (3,8) ; (-3,-2) ; (6,13) }}

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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:

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The steps of Euler's method are summarized below:

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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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