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ehidna [41]
3 years ago
5

Which is closest to the area of the shaded region in the figure, in square units?

Mathematics
2 answers:
quester [9]3 years ago
8 0
The third option : 228
:)
The answer on top is 100% correct
MrMuchimi3 years ago
7 0
We know the width of the rectangle is 24 and that the height is 12 which makes it have a area of 288. 
The area of the circle is pie 6^2 or 36pi or 113. We have two of these circles having the total area of the circles 226. To find the are of the shaded reigon we subtract. 288-226=62.
62 is the answer or the second one.:)
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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

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pshichka [43]

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Step-by-step explanation:

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Step-by-step explanation:

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Karo-lina-s [1.5K]
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The first term is a1
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The third term is a3
and so on...

The first term starts at n = 1. We replace the n in a_n with 1 to get a_1. A similar thing happens with n = 2 and onward

The domain is therefore the set {1, 2, 3, 4, 5, ...} which is the set of...
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We can also say n \ge 1 where n is an integer or whole number
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