I need help with this question

Mathematics

1 answer:

prisoha [69]2 years ago

8 0

Answer:

100m^2

Step-by-step explanation:

square has equal sides.

To find the area of the square, the formula is:

Area= length times width

So for square ABCD, 10*10=100m^2

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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

What is j(4) if j(m)=2^m-1

Lady_Fox [76]

2^4-1 so 2•2•2•2=16 and 16-1 is 15

5 0

2 years ago

Can someone please help me with this!?

vichka [17]

Answer:

$2(x - 5)$