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3 years ago

What is the realationship between the area of the scales ⚖️ used in pictures ?

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

<h2>Explanation:</h2>

As I understand, you need to know the relationship between the area of similar figures. Two shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling, so this means we can make one shape bigger or smaller.

From math, if we call $k$ the scaling factor, then the area of one figure ( $A_{1}$ ) divided by the area of another similar figure ( $A_{2}$ ) will be equal to the scaling factor squared. In other words:

$\frac{A_{1}}{A_{2}}=k^2$

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Use the Taylor series you just found for sinc(x) to find the Taylor series for f(x) = (integral from 0 to x) of sinc(t)dt based

Marina CMI [18]

In this question (brainly.com/question/12792658) I derived the Taylor series for $\mathrm{sinc}\,x$ about $x=0$ :

$\mathrm{sinc}\,x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}$

Then the Taylor series for

$f(x)=\displaystyle\int_0^x\mathrm{sinc}\,t\,\mathrm dt$

is obtained by integrating the series above:

$f(x)=\displaystyle\int\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}\,\mathrm dx=C+\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

We have $f(0)=0$ , so $C=0$ and so

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

which converges by the ratio test if the following limit is less than 1:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(-1)^{n+1}x^{2n+3}}{(2n+3)^2(2n+2)!}}{\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}}\right|=|x^2|\lim_{n\to\infty}\frac{(2n+1)^2(2n)!}{(2n+3)^2(2n+2)!}$

Like in the linked problem, the limit is 0 so the series for $f(x)$ converges everywhere.

7 0

3 years ago

I only need Q d please (the last question)

irinina [24]

Answer:

December at -10

Step-by-step explanation:

first you rule out all positive numbers

then you finder the biggest number with a negative side and that is you lowest temperature

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2 years ago

Amia went to a flower farm and picked f flowers. When she got home, she put the flowers in 4 vases, with 22 flowers in each vase

Whitepunk [10]

One equation that represents this situation is f/4 = 22.

This shows the total number of flowers (f) being broken into 4 groups (4 vases) with the result being 22 flowers in each vase.

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3 years ago

Read 2 more answers

PLEASE HELP <br> ———————-

quester [9]

First substitute, then distribute, then add, then simply

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3 years ago

The formula for converting a Celsius temperature to a Fahrenheit temperature is:

beks73 [17]

100*9/5+32 is the equvilant

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2 years ago