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
Gala2k [10]
3 years ago
11

Find the taylor polynomial t3(x) for the function f centered at the number

Mathematics
1 answer:
Vlad [161]3 years ago
5 0
e^{-3x}=\displaystyle\sum_{n=0}^\infty\frac{(-3x)^n}{n!}=1-3x+9x^2+\cdots
\sin2x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(2x)^{2n+1}}{(2n+1)!}=2x-\dfrac{4x^3}3+\cdots

e^{-3x}\sin2x=\left(1-3x+9x^2+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)
\approx T_3(x)=(1-3x+9x^2)\left(2x-\dfrac{4x^3}3\right)
T_3(x)=2x-6x^2+\left(18-\dfrac43\right)x^3
T_3(x)=2x-6x^2+\dfrac{50}3x^3
You might be interested in
The midpoint of AB is M(4, 1). If the coordinates of A are (2, 8), what are the coordinates of B?
Lisa [10]

Answer:

B (6 , 0)

Step-by-step explanation:

(2,8)      Add 2 to x-axis and subtract 1 from y-axis

(4,1)

(6,0)

8 0
3 years ago
10 Points<br> Can someone explain to me how to solve this
tatyana61 [14]

Answer:

d he didn't make a mistake

Step-by-step explanation:

so when is says comparing to one it means is the fraction greater than less than or equal to one and because 3/4 is less than one and 9/8 is greater than then 3/4 is less than 9/8 remember it always opens up to the larger number

8 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
iragen [17]

Answer:

36.25

Step-by-step explanation:

The three in 20.342 has a value of 0.3, so a three one hundred times greater would be 0.3 times 100, which is 30.

Next, find the choice that has a three in the ten's place, which represents a 30.

5 0
3 years ago
Which of the following best describes the slope of the line below? A. Zero B. Negative C. Undefined D. Positive
lyudmila [28]

Answer:

C. Undefined

Step-by-step explanation:

Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.

Hope this helps!

4 0
3 years ago
Someone help please
fiasKO [112]

It is 4pi/7, or b. Just want to help ;)

4 0
2 years ago
Other questions:
  • -x - 6y - z = -11 3x - 5y - 3z = 23 3x + 5y + 4z = 1
    13·1 answer
  • Which points have opposite x- and y-coordinates [for example, (2, –2) or (–3, 3)]? (Hint: Some answers may have some, but not al
    13·1 answer
  • A collection of quarters and dimes is worth $6.75. The number of dimes is 4 less than three times the number of quarters. How ma
    13·1 answer
  • If the perimeter is 74mm and the width 16mm what is the length
    7·2 answers
  • For the triangle shown below, find the circumcenter and orthocenter
    5·1 answer
  • Solve each of the following: Show your work. 3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream co
    11·1 answer
  • Giselle is 24 years younger than her mother. In six years time she will be 1/4 of the age of her mother.
    8·1 answer
  • Find the midpoint of line CD given C(7, 5) and D(-3, -1)
    12·1 answer
  • Help me to the this question​
    7·1 answer
  • The function f(x) is given by the set of ordered pairs.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!