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Sladkaya [172]
3 years ago
8

What is the answer to -5/8x + 10 for x=-8

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

-75/64

Step-by-step explanation:

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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
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

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.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

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Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

#SPJ4

3 0
2 years ago
Plsss help It due tmr plsss
geniusboy [140]

Answer: 50

Step-by-step explanation:

exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130

50 is missing from 180

6 0
3 years ago
PLEASE HELP FAST ILL GIVE 5 STARS!!!!
MArishka [77]
I believe it's Line y=-x+2 and y=3x+1 intersect the y-axis. From what I've gathered, they are parallel lines, and both are set on the y-axis.
8 0
3 years ago
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True or False
attashe74 [19]
When we say right triangle, it is a triangle that has at least one angle equal to 90 degrees. In addition, an isosceles triangle can also be considered a right triangle given that it has two sides that are equal. In the given measurements above, the set is not considered as measurements of a right triangle. Therefore, the answer is FALSE. Hope this answer helps.

7 0
3 years ago
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What are the answers to these angle questions?​
mafiozo [28]

Step-by-step explanation:

Firstly, we have to find m∠J.

Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.

So,

m∠J + m∠L + m∠K = 180°

The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.

m∠J + 49° + 90° = 180°

Then we simplify

m∠J + 139° = 180°

Subtract 139° to both sides

∠J = 41

Now the other angles.

Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T

Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T

Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...

41° = m∠R , 90° = m∠S , and 49° = m∠T

4 0
3 years ago
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