U is right u gunna fail LOL
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
#SPJ1
Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon.
We find the coupon amount each year
Coupon amount = actual amount of bond * 4%
= 10,000 * 0.04 = 400
Coupon amount for every year = 400
Total value of coupons for 30 years = 400 * 30 = 12000
$12,000 is the total value of the coupons
In this item, we will be able to form a system of linear equation which are shown below,
292 = 400x + y
407 = 900x + y
where x is the percent of the commission that he gets and y is the wage. The values of x and y from the equations are 0.23 and 200. This means that Justin earns a fixed wage of 200 per day and a commission which is equal to 23%.
Substituting the known values to the equation,
S = (0.23)(3200) + 200 = 936.
Therefore, Justin could have earned $936 had he sold $3,200 worth of merchandise.
Answer:
<u>C. 9 minutes 30 seconds</u>
Step-by-step explanation:
well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer
<u>Have a good day! :)</u>