How to answer h/4 ≤ 2/7

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

I feel you, headaches suck.

Your answer would be h ≤ 8/7

Step 1 :

Simplify —

Equation at the end of step 1 :

h 2

— - — ≤ 0

4 7

Step 2 :

Simplify —

Equation at the end of step 2 :

h 2

— - — ≤ 0

4 7

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 4

The right denominator is : 7

After calculating the multipliers you get h ≤ 8/7

Hope this helps!

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Attached as photo. Please help

Effectus [21]

By Euler's method the numerical approximate solution of the definite 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 definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral 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 numerical approximation of the definite integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

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