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]
2 years ago
13

How do you do this question?

Mathematics
1 answer:
Lena [83]2 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
Can someone help with this pls it’s due today
KiRa [710]
D, hope this is right! :)
7 0
3 years ago
WILL MAKE BRAINLIEST
Tasya [4]
If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination. 
Specifically, we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator, we start with 8 and count down 3 numbers. In the denominator, we start with 3 and count all the way down to 1.
your answer is 56


3 0
3 years ago
Please help i need answer for test
Korvikt [17]

Answer:

He did the complete opposite of what he needed to do

Step-by-step explanation:

The error is that when you need to find x - intercept, you need to replace the value of y with zero, not the y value.

Cause otherwise, what he did here is to find the y - intercept

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

6 0
3 years ago
The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball cour
lukranit [14]

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

8 0
2 years ago
Read 2 more answers
The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+
marusya05 [52]

Answer:

The graph g(x) is the graph of f(x) translated <u>2</u> units <u>right</u>, and g(x) = <u>f(x-2)</u>

Step-by-step explanation:

g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.

f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.

f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)

In order to check this result, we make:

f(x) = 3x + 1

f(x-2) = 3(x-2) + 1

f(x-2) = 3x - 6 + 1

f(x-2) = 3x - 5 = g(x)

3 0
3 years ago
Other questions:
  • What is the result of the following division?
    15·2 answers
  • Jean is making bar graphs for a representation. She is planning for the length and width of the bars to have a ratio of 3:2, so
    15·1 answer
  • Answer and working out please!
    6·1 answer
  • 40 in the ratio 2:3 £2000 in the ratio 3:7 36kg in the ratio 1:2:3
    11·1 answer
  • Find the difference between 8/10 and -2 Show all calculations in your final answer.
    12·1 answer
  • Michelle wants to start a babysitting club and decides to call a meeting. As a thank you to everyone for coming she decides to o
    9·1 answer
  • !!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!
    8·1 answer
  • Eli has a loan of $3500.
    11·1 answer
  • In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are giv
    13·1 answer
  • In a class of 27 students, 14 play an instrument and 16 play a sport. There are 6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!