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
Alinara [238K]
3 years ago
13

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

Rn(x) → 0.] f(x) = 8x − 3x3, a = −2 [infinity] f n(−2) n! (x + 2)n n = 0 = 8 − 28(x + 2) + 18(x + 2)2 − 3(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 8 − 28(x + 2) + 3(x + 2)2 − 18(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 8 + 28(x + 2) + 18(x + 2)2 + 3(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 8 − 18(x + 2) + 28(x + 2)2 − 3(x + 2)3
Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

The answer is

f(x) = {\displaystyle  8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }

Step-by-step explanation:

Remember that Taylor says that

f(x) = {\displaystyle \sum\limits_{k=0}^{\infty} \frac{f^{(k)}(a) }{k!}(x-a)^k }

For this case

f^{(0)} (-2) = 8(-2)-3(-2)^3 = 8\\f^{(1)} (-2) = 8-3(3)(-2)^2 = -28\\f^{(2)} (-2) = -3(3)2(-2) = -36\\f^{(2)} (-2) = -3(3)2 = -18

f(x) = {\displaystyle  8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }

You might be interested in
40 is 120% of what number?
Dennis_Churaev [7]
Always remember that percent means "out of 100". That means the 40%=40/100=.4
so 40% of 120 is equivalent to .4(120)=48
Hope I helped
5 0
3 years ago
Read 2 more answers
When f(x) = 0.5|x is graphed on a regular coordinate grid, the graph forms
PtichkaEL [24]

Answer:

A. Right angle  -- if you multiply the slopes of 2 intersecting lines and you "-1" then the lines are perpendicular - in this case the line in quadrant 3 has a slope of "1" and the line in quadrant 4 has a slope of "-1", hence their product is "-1" and the angles formed at the intersection of the lines are right angles.

Step-by-step explanation:

8 0
2 years ago
Mr. Conrad's pecan pie recipe calls for 1 3/4 cups of pecans. He plans to make 6 pies for his family reunion. How many cups of p
Reika [66]
According to my calculations the answer is 19.5 or 19.50 you can pick either one but your teacher will probably want the first.
4 0
3 years ago
Read 2 more answers
Can someone help me please
Vladimir [108]

a) \:  \cos(39°)  =  \frac{x}{7} \Leftrightarrow x = 7\cos(39°) \approx5.44 \\ b) \:  \sin(46°) =  \frac{8}{x}  \Leftrightarrow x =  \frac{8}{\sin(46°)}  \approx11.12

8 0
3 years ago
What is the sample space for a single toss of a number cube?
valina [46]

Answer:

6

Step-by-step explanation:

-A sample space is statistically defined as the possible number of outcomes.

-A cube has a total of six sides.

-The result of each toss can result in any one of the 6 faces with equal probability.

-The sample space is therefore 6

6 0
3 years ago
Other questions:
  • What is the common difference for this arithmetic sequence -6,-1,4,9,14 A.6 B.5 C.3 D.4
    9·2 answers
  • Practice simplifyin
    13·1 answer
  • Question 6 of 10
    11·2 answers
  • The slope of the line below is -2. Use the coordinates of the labeled point to
    13·1 answer
  • As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho
    11·1 answer
  • While on vacation at the beach, Eleanor drew the figure shown.In Eleanor’s drawing, the measure of ∠FMD is 15°, and the measure
    9·2 answers
  • If m+2/5 = 1/2, then which of the following is true?
    7·1 answer
  • Omg please help! NO LINKS NO FILES PLEASE!
    14·1 answer
  • A line segment has endpoints Q(-16, -12) and R(21, -8).
    11·1 answer
  • The U.S. 2010 federal income tax for a single person with taxable income x dollars is f(x) dollars, where T is the function defi
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!