For this case we have that by definition of power properties it is fulfilled that:
We must rewrite the following function:
Using the mentioned property we have:
Solving the operation within the parenthesis we have:
Thus, the correct option is option B
ANswer:
Option B
The value of x in the given equation is 0.03
<u>Step-by-step explanation:</u>
The given equation is that
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒
⇒
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒
⇒
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒
⇒
Therefore, the value of x is 0.03
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:
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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