2 years ago

Irrational number between 7.7 and 7.9

Mathematics

1 answer:

Alinara [238K]2 years ago

7 0

Sqrt(62)
it's about 7,87

You might be interested in

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

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

Replace $n+1$ with $n$ , so that the series is equivalent to

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

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

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

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

Which equation, when solved, results in a different value of x than the other three?

Bess [88]

Is there any more information?

4 0

2 years ago

What is the mathematical sentence of "A number increasd by 7 is 15?

svet-max [94.6K]

Answer:

Step-by-step explanation:

A number increased by 7 means, 7 was added to the number and the result is 15

6 0

2 years ago

What is the square root of 5

Julli [10]

U need to find the square root by long division.
So the answer would be 2.2

6 0

3 years ago

Please help im dying here

forsale [732]

Answer:

3/4

Step-by-step explanation:

tan C = opp/adj

For angle C, the opposite leg is 6, and the adjacent leg is 8.

tan C = 6/8 = 3/4

Answer: 3/4

5 0

2 years ago