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2 years ago

Please help worth 20 points

Mathematics

1 answer:

almond37 [142]2 years ago

7 0

Answer:

Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this

Step-by-step explanation:

GURL POWER

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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 will give u brianliest

lianna [129]

Answer:

10.63

Step-by-step explanation:

8 0

3 years ago

Find the slope and the y-intercept of the equation: 6y - 3x= -12

vivado [14]

Slope can be found but putting the equation in slope intercept form (y=mx+b)

6y=3x-12
y= 0.5x-2

M is your slope, b is the y intercept.

So the slope is 1/2, yintercept is (0,-2)

Hope this helps

7 0

3 years ago

What is the area of the shaded sector of the circle?

finlep [7]

Answer:

Hey, where is the circle? I think you forgot to upload pic of circle.

6 0

3 years ago

Read 2 more answers

If you earned 892.50 after depositing 1400 at 4.25% simple interest, how long was it invested ? Using the simple interest formul

DanielleElmas [232]

Answer:

Time t = 15 years

Step-by-step explanation:

Interest = 892.50

Principal = 1400

Rate = 4.25%

Time = unknown

But

interest I = Principal p * rate r * time t

Time t = interest I/(principal P * rate r)

Time t=( 892.50*100)/(1400*4.25)

Time t=89250/5950

Time t = 15 years

4 0

3 years ago