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nexus9112 [7]
2 years ago
13

HELP

Mathematics
2 answers:
Lapatulllka [165]2 years ago
5 0
Logxy =1/2

10^1/2=xy
Square root of 10=xy
JulijaS [17]2 years ago
5 0

Answer:

Logxy =1/2

Step-by-step explanation:

You might be interested in
SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).
Ann [662]

Answer:

Required series is:

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

Step-by-step explanation:

Given that

                           f'(x) = -\frac{1}{1 + x^{2}} ---(1)

We know that:

                  \frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}} ---(2)

Comparing (1) and (2)

                           f'(x)=-(tan^{-1}x) ---- (3)

Using power series expansion for tan^{-1}x

f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx

= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]

=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}

=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

as

                 tan^{-1}(0)=0 \implies C=0

Hence,

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

7 0
3 years ago
6-x/4=x/8<br> solve for x
mina [271]

Answer:

Hope this helps

Step-by-step explanation:

x = 16

5 0
2 years ago
Read 2 more answers
A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between whi
earnstyle [38]

Answer:

B.$675 and $1,775

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the distance between A(0, 5) and B(5, -7) ?
lord [1]

Answer:

The distance between the two points is 13 units.

Step-by-step explanation:

take the test

4 0
2 years ago
WHATS THE FRACTION FOR 6 DOLLARS AND 14 CENTS
Jet001 [13]

Answer:

6\frac{14}{100}

Step-by-step explanation:

First, you make fourteen a fraction.

\frac{14}{100}

Then, make it a mixed fraction by adding a six.

6\frac{14}{100}

Lastly, have a great day! :)

3 0
2 years ago
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