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kvv77 [185]
3 years ago
12

I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER! :D

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

B 9216

Because the square root of 64 is 8 and 8 times 12 is 96. 96^2 is 9216.

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Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more
dalvyx [7]

The power series  is

g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....

To deduce the power series of g(x) from the power series for f(x) and identify its radius of convergence

The power series for f(x) is just the geometric series derived from 1/1-y ,setting y=2x.

Its radius of convergence is 0.5

Let,

f(x)= 1/1-2x = 1+ (2x) + (2x)2 + .........+(2x)n......+....

The power series expansion (geometric series),

valid for I2xI < 1 , IxI < 0.5

so, radius of convergence = 0.5

The power series for g(x) is found by integrating term by term the power series of f(x) (upto a constant). The radius of converngence of g(d) is the same as that of f(x) (from general theory) =0.5

Now, g(x) = ln(1-2x)

= -2 \int\limits^a_b {(1/1-2x)} \, dx = -2 \int\limits^a_b {f(x)} \, dx

=-2 \int\limits^a_b {[1+(2x)+ (2x)2 +........+ (2x)n+.......]} \, dx

g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....

is the power series expansion for g(x).

radius of convergence =0.5

For more information about power series, visit

brainly.com/question/17225810

#SPJ4

7 0
2 years ago
In △ABC , point D is between points A and B, and point E is between points B and C. Point Y is the incenter of the triangle, YD¯
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Answer:

Answer: Using the proportions between the segments, the area of the triangles are:

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Step-by-step explanation:

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Murrr4er [49]
You would be able to find this out using the calculator
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Chelsey is repairing her iPad and needs to tighten a screw that holds the battery in. She tried a 3/4 mm screwdriver, which was
LUCKY_DIMON [66]

Answer:ask Siri

Step-by-step explanation:

But it is 8mm

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Write the simplest polynomial function for each set of zeros
dexar [7]

9514 1404 393

Answer:

  p(x) = x^4 -5x^3 +20x -16

Step-by-step explanation:

If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:

  p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)

__

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The product of the <em>first two factors</em> is a "special product" recognizable as the difference of two squares.

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The product of the <em>last two factors</em> can be found in the usual way. The distributive property applies.

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Then the full polynomial is the product of these partial products:

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  = x^4 -5x^3 +4x^2 -4x^2 +20x -16

  p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form

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3 years ago
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