1 1/6 = 7/5
2 1/2 = 5/2
1 1/2 = 3/2
This is what I got hope I'm correct.
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
Answer:
There’s two options for each. Look below.
Step-by-step explanation:
Savings: there is no risk of losing any money put into this account
interest income is the only way to earn money in this type
‘investment: this account may generate income from a variety of sourses.
If no deposits or withdrawals are made, money held in this acct..
Answer:
f(x) = 
Step-by-step explanation:
All you have to do is multiply (x + 1)(x + 2)(x - 4)
You should get
So, f(x) =
Answer:
93.6 ml
Step-by-step explanation:
12% of that 780 ml is pure acid: 0.12(780 ml) = 93.6 ml
