is the power series representation for the function f(x) = x³sin(x) + e³ˣ⁺². This can be obtained by using power series representation of each terms, sin x, eˣ and substituting in the function.
<h3>Find the power series representation for the function:</h3>
In the question the given function is,
⇒ f(x) = x³sin(x) + e³ˣ⁺²
We know that series representation of sin x and eˣ are:
⇒ 
= 
Substituting the series representation in the function we get,
⇒ f(x) = x³sin(x) + e³ˣ⁺²
⇒ 
Hence is the power series representation for the function f(x) = x³sin(x) + e³ˣ⁺².
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Answer:
-11y = 2x + 5 is your answer.
Step-by-step explanation:
The slope-intercept form is y = mx + b.
-11y = y
-2x = the slope
5 = b.
If the given expression is simplified we get a. -4x² - 3x + 2.
Explanation:
- The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
- So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
- The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
- The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
- The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
- Adding all the terms we get -4x² - 3x + 2. This is the option a.
3/7 divided 1/2 is the same as 3/7 times 2 which is 6/7.
Not sure what you mean by graphing it though. Like on a number line? There is no x or y in your equation.
