1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
3 years ago
13

How do you do this question?

Mathematics
1 answer:
Lena [83]3 years ago
3 0

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.

You might be interested in
6 people equally share 56 gummy worms. How many gummy worms does each person get? Nine and one sixth gummy worms nine and two si
riadik2000 [5.3K]

Answer:

nine and two sixths gummy worms

Step-by-step explanation:

54/6 = 9

56 - 54 = 2

so answer:

9 2/6 - nine and two sixths gummy worms

6 0
3 years ago
X/2-1=3 what is X PLEASE HELPPPPPPPPPPP
valentina_108 [34]

Answer:

4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
40 POINTS is (4,7) a solution of equations? Explain your answer 2x+4y=36 3x-4y=-6
dsp73
<span>2x + 4y = 36
3x - 4y = -6
--------------add
5x = 30 
  x = 6

</span>2x+4y=36 
2(6)+4y=36 
12 + 4y = 36
4y = 24
  y = 6

answer
<span>(6, 6) is a solution of equations
</span><span>(4,7) is NOT a solution of equations</span>
6 0
3 years ago
Read 2 more answers
What is the measure of XY
Nana76 [90]

Answer:

no clueeeereereee

Step-by-step explanation:

idkkkkkkkkkkkkkkk

5 0
3 years ago
In a survey of 150 students at Kennedy Middle School, 48% said
BigorU [14]

Answer:

660 people

Step-by-step explanation:

48% people prefer thick pizza

1 375 people x 48% = 660

6 0
3 years ago
Other questions:
  • Bruno is designing his next skateboard. The skateboard store has 333 types of grip tape, 131313 types of decks, 777 types of tru
    14·2 answers
  • Please help ty! I added extra points.
    14·1 answer
  • The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det
    10·1 answer
  • What is the answer to 3x+5x+2
    15·2 answers
  • Melvin and Frank caught a lizard in their backyard. Its body is 17/8 long, and its tail
    13·1 answer
  • A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of
    11·1 answer
  • One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 flo
    8·2 answers
  • PLZ HELP IM ON A TIMER!!!!
    14·1 answer
  • If the length of two sides of a triangle are 8cm and 5cm then the third side would be of length​
    6·1 answer
  • Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin # 2. What is P(A and B)? A) 1/8B) 1/6C) 1/4D) 1/2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!