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Alex777 [14]
3 years ago
11

What is the angle of the question mark

Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0
HINT: The sum of all three angles inside any triangle is 180°.
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A.If a new series is found by differentiating a known series with included endpoints, those endpoints might not be included in t
Aleonysh [2.5K]
Consider the power series

\displaystyle\sum_{n\ge1}\dfrac{x^n}n

By the ratio test, this series converges for

\displaystyle\lim_{n\to\infty}\left|\frac{x^{n+1}}{n+1}\cdot\frac n{x^n}\right|=|x|\lim_{n\to\infty}\frac n{n+1}=|x|

though we know by the alternating series test that the series converges for x=-1.

So this series converges for -1\le x.

Differentiating the series yields

\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n\ge1}\frac{x^n}n=\sum_{n\ge1}x^{n-1}=\sum_{n\ge0}x^n

which is the geometric series. We know this series converges for |x|, and this time the endpoints are not included.

This example shows that (A) is certainly possible; that is, x=-1 is valid in the first series, but not in the differentiated one.

- - -

Now consider the series

\displaystyle\sum_{n\ge0}\dfrac{x^n}{n!}

which we know to converge to e^x.

Differentiating, we get

\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n\ge1}\frac{x^{n-1}}{(n-1)!}=\sum_{n\ge0}\frac{x^n}{n!}=e^x

as expected. But both series converge everywhere, so this serves as a counter-example to the claim of B. So B is false.
8 0
4 years ago
Whats What is the value of the expression 11 − ( fraction 1 over 2 )4 ⋅ 48?
Softa [21]

Answer:

the vaule pf the expression 11 is 5

4 0
3 years ago
Read 2 more answers
Find the inverse of the function.
nikklg [1K]
The equation that is given in this item can be mathematically expressed as,
    f(x) = (x/7)^(1/3) - 9

The expression f(x) can be replaced with y such that the equation can also be written as,
    y = (x/7)^(1/3) - 9

The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
   x = (y/7)^(1/3) - 9

Then, solve for the value of y in terms of x.
 Transpose the constant to the other side of the equation.
 x + 9 = (y/7)^(1/3)

Raise the whole equation by 3 in order to eliminate the radical.
  (x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
  (x+9)³(7) = y

Thus, the inverse of the function is equal to
<em>  f⁻¹(x) = 7(x+9)³

</em>
<em />The answer is letter B.<em>
</em>
3 0
3 years ago
Use the table to find the COORDINATES of the image ​
Natasha_Volkova [10]

Answer:

Q = ( -3 , 6 ) .... R = ( -1 , 8 )  ...... S = ( -5 , 7 )

Step-by-step explanation:

Q = ( 1 + ( -4 ) , 4 + 2 ) = ( -3 , 6 )

R = ( 3 + ( -4 ) , 6 + 2 ) = ( -1 , 8 )

S = ( -1 + ( -4 ) , 5 + 2 ) = ( -5 , 7 )

8 0
3 years ago
Evaluate functions from their graphs
blagie [28]

Answer:

what graphs i don't see any

Step-by-step explanation:

?????

4 0
3 years ago
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