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:
The constant of proportionality of the equation is 1.5.
Step-by-step explanation:
Equation of proportional measures:
Suppose that y and x are proportional measures. This situation can be equatialized is:
y = ax
In which a is the constant of proportionality.
y = 1.5x. What is the constant of proportionality of the equation?
a = 1.5, so the constant of proportionality of the equation is 1.5.
Steps
1. Do the point slope form
Y-Y1=4(X-X1)
Y-4=4(x-2)
Y-4=4x + (-8)
2. Add 4 on both sides
Y= 4x-4
3. Your answer is
Y=4x-4
Step-by-step explanation:
just guess and see
Answer:
(C)
Step-by-step explanation:
20 for each day=20x
4 for hot dogs sold=4x
20x+4x
(C)
