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3 years ago

Angle 1 and angle 2 are vertical angles.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

<1 = 93 (vertical opposite angle are equal)

Step-by-step explanation:

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The function h (x) = StartFraction 1 Over x squared + 1 EndFraction is the result of the composition f(g(x)). If g(x) = x2 + 1,

dem82 [27]

Answer: 1/x

Step-by-step explanation:

7 0

3 years ago

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Mazyrski [523]

We can use the fact that, for $|x|$ ,

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

Notice that

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}$

so that

$f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]$

$f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n$

By the ratio test, this series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

so the series has radius of convergence $R=1$ .

5 0

2 years ago

Logx - logx-1^2=2log(x-1)

myrzilka [38]

Answer:

x is approximately 2.220744

Step-by-step explanation:

This can be simplified a little using properties of logarithms, and then solve it by graphing:

$log(x)-log(x-1)^2=2\,log(x-1)\\log(x)-2\,log(x-1)=2\,log(x-1)\\log(x)=4\,log(x-1)$

So we use a graphing tool to find the intersection point of the graph of $log(x)$ , and the graph of $4\,log(x-1)$

Please see attached image for the graph and solution.

The value of x is approximately 2.220744

8 0

3 years ago

Read 2 more answers

Below are 36 sorted ages of an acting award winner. Find Upper P70 using the method presented in the textbook.

Leona [35]

The upper 70th percentile is the number below which 70% of the data lie.

The 70th percentile position is given by:

$P_{70}= \frac{70N}{100} = \frac{70(36)}{100} =25.2$

Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).

Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74

The 25th data in the data set is 58.

Therefore, the upper P70 is 58.
</span>

6 0

3 years ago

Read 2 more answers

I need help again...

Vsevolod [243]

1. 80cm
2. 48cm
3. 6 cm

8 0

2 years ago