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Scrat [10]
2 years ago
10

My question is in the picture please help. First answer gets brainliest​

Mathematics
1 answer:
Mandarinka [93]2 years ago
5 0
Round 1 player 1 because 12 is the greatest number
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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
Helga [31]

Answer:

\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function <em>f </em>at the number a is:

f(x) =  \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n

f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ... ............ equation (1)

Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2

f(x) = 10/x            f(-2) = 10/-2

f'(x) = -10/x²         f'(-2) = -10/(-2)²

f"(x) = -10.2/x³      f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴     f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵    f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)

So, we get \sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}} Or \sum^\infty_{n=0} -5 (\frac{x+2}{2})^n

4 0
3 years ago
What is the measure of EBC ?<br> ___ degrees
erma4kov [3.2K]

Answer:

The measure of arc EBC is 220°

Step-by-step explanation:

step 1

Find out the measure of angle COB

we know that

m∠COB+m∠DOC=90°  -----> given problem

we have that

m∠DOC=m arc DC -----> by central angle

m arc DC=50°

so

m∠DOC=50°

Find m∠COB

m∠COB+50°=90°

m∠COB=40°

step 2

Find out the measure of arc BC

we have that

m arc BC=m∠COB -----> by central angle

m∠COB=40°

therefore

m arc BC=40°

step 3

Find out the measure of arc EBC

we know that

m arc EBC=m arc EB+m arc BC

m arc EB=180° -----> because the diameter divide the circle into two equal parts

so

m arc EBC=180°+40°=220°

8 0
3 years ago
Read 2 more answers
If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?
Zielflug [23.3K]

Answer: D. (-2,0) and (9,0)

Step-by-step explanation:

When you equate the factors to 0 you get

(X+2) = 0

X = -2

(X-9) = 0

X= 9

Here the Y value is 0 as you find the factors of x when the Y value is 0.

So the answer is (-2,0) and (9,0)

8 0
2 years ago
There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card
Verdich [7]

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

4 0
2 years ago
If it takes 5 workers 4 hours to build a 10 foot wall, and the number of hours is directly proportional to the number of walls t
pychu [463]
4x10=40 10x10=100 ft/10 100/10=10 walls
4 0
3 years ago
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