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:
1/7
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We are given:

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:

Since θ is in QIII, cosecant must be negative:

Our answer is A.
Answer:
1. 35
2. 145
3. 55
4. 125
5. 55
13. x= 19
Step-by-step explanation:
Answer:
5 trucks per hour
Step-by-step explanation:
25 trucks ÷ 5
5 hours ÷ 5
= 5 trucks per hour