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4vir4ik [10]
3 years ago
15

Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Sel

ect three options.
There is an open circle on 2 and StartFraction 8 over 9 EndFraction.
The graph contains the point 0
There is a closed circle on 2 and StartFraction 8 over 9 EndFraction.
The arrow points to the left.
The arrow points to the right.
Mathematics
2 answers:
eimsori [14]3 years ago
5 0

Answer:

B, C, E

Step-by-step explanation:

right on edge2021 :)

andriy [413]3 years ago
3 0

Answer:

the arrow point to the right

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Write the Taylor Series for f(x) = sin(x)center
tangare [24]

Answer:

Taylor series of sin(x) centered at x = 0.

Step-by-step explanation:

Taylor series expansion:

\sum_{n=0}^N f^n(a)\displaystyle\frac{(x-a)^n}{n!}

Here, f(x) = sin (x) and a = 0

f(x) = \sin x, f(0) = 0\\f'(x) = \cos x, f'(0) = 1\\f''(x) = -\sin x, f''(0) = 0\\f'''(x) = -\cos x, f'''(0) = -1\\f^4(x) = \sin x, f^4(0) = 0\\f^5(x) = \cos x, f^5(0) = 0

Putting all the values and expanding, we get,

f(x) = f(a) + \displaystyle\frac{f'(a)(x-a)}{1!} + \displaystyle\frac{f''(a)(x-a)^2}{2!} + \displaystyle\frac{f'''(a)(x-a)^3}{3!} + \displaystyle\frac{f^4(a)(x-a)^4}{4!} + \displaystyle\frac{f^5(a)(x-a)^5}{5!} + ...\\\\= \sin 0 + \displaystyle\frac{x}{1!} +  \displaystyle\frac{(0)x^2}{2!} + \displaystyle\frac{(-1)x^3}{3!} + \displaystyle\frac{(0)x^4}{4!} + \displaystyle\frac{(1)x^5}{5!} + ...

Solving, we get

\sin x = x - \displaystyle\frac{x^3}{3!} + \displaystyle\frac{x^5}{5!} - \displaystyle\frac{x^7}{7!} + ...\\\\\sin x = x - \displaystyle\frac{x^3}{6} + \displaystyle\frac{x^5}{120} - \displaystyle\frac{x^7}{5040} + ...

3 0
3 years ago
Turn 8/20 into a fraction and simply it
den301095 [7]

Answer: I got 2/5

Hope it helped

8 0
3 years ago
Read 2 more answers
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yawa3891 [41]
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6 0
3 years ago
A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?
SOVA2 [1]
The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2

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3 years ago
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Help me there’s a time limit on this
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11 hours bc 5 times 11 equals 55
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2 years ago
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