1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
expeople1 [14]
3 years ago
6

25 points! SHOW ALL WORK PLZ!

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

Answer:its 11

Step-by-step explanation:

$:!

You might be interested in
Solve using Fourier series.
Olin [163]
With 2L=\pi, the Fourier series expansion of f(x) is

\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos\dfrac{n\pi x}L+\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L
\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos2nx+\sum_{n\ge1}b_n\sin2nx

where the coefficients are obtained by computing

\displaystyle a_0=\frac1L\int_0^{2L}f(x)\,\mathrm dx
\displaystyle a_0=\frac2\pi\int_0^\pi f(x)\,\mathrm dx

\displaystyle a_n=\frac1L\int_0^{2L}f(x)\cos\dfrac{n\pi x}L\,\mathrm dx
\displaystyle a_n=\frac2\pi\int_0^\pi f(x)\cos2nx\,\mathrm dx

\displaystyle b_n=\frac1L\int_0^{2L}f(x)\sin\dfrac{n\pi x}L\,\mathrm dx
\displaystyle b_n=\frac2\pi\int_0^\pi f(x)\sin2nx\,\mathrm dx

You should end up with

a_0=0
a_n=0
(both due to the fact that f(x) is odd)
b_n=\dfrac1{3n}\left(2-\cos\dfrac{2n\pi}3-\cos\dfrac{4n\pi}3\right)

Now the problem is that this expansion does not match the given one. As a matter of fact, since f(x) is odd, there is no cosine series. So I'm starting to think this question is missing some initial details.

One possibility is that you're actually supposed to use the even extension of f(x), which is to say we're actually considering the function

\varphi(x)=\begin{cases}\frac\pi3&\text{for }|x|\le\frac\pi3\\0&\text{for }\frac\pi3

and enforcing a period of 2L=2\pi. Now, you should find that

\varphi(x)\sim\dfrac2{\sqrt3}\left(\cos x-\dfrac{\cos5x}5+\dfrac{\cos7x}7-\dfrac{\cos11x}{11}+\cdots\right)

The value of the sum can then be verified by choosing x=0, which gives

\varphi(0)=\dfrac\pi3=\dfrac2{\sqrt3}\left(1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots\right)
\implies\dfrac\pi{2\sqrt3}=1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots

as required.
5 0
3 years ago
Find the missing measures of the following rectangle
Allushta [10]

Answer:

see explanation

Step-by-step explanation:

In a rectangle

• All angles are right angles

• the diagonals are congruent

In Δ WXV the sum of the 3 angles = 180°

∠ WXZ = ∠ XWY = \frac{180-64}{2} = \frac{116}{2} = 58°

∠ YXZ = 90° - 58° = 32°

∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )

∠ XWZ = 90° ( by definition of rectangle )

∠ XZY = ∠ WXZ = 58° ( corresponding angles )

7 0
3 years ago
X + x/3 = 4/9<br> solve for x!!
Lorico [155]

Answer:

x=1/3

Step-by-step explanation:

6 0
2 years ago
If it’s costs 60 cents for 125 grammes. How much would 100 grammes cost?
beks73 [17]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Work out the cost per gram

60/125 = 0.48

It costs 0.48 cents per gram

Multiply this by 100 to get the answer:

0.48 x 100 = 48

It would cost 48 cents

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
Read 2 more answers
I need help please (;´༎ຶٹ༎ຶ`)
spayn [35]
The dude on top of me is correct
7 0
3 years ago
Other questions:
  • Please help me answer this ASAP! The two-way table shows the number of ninth and tenth graders who prefer going to sporting even
    15·1 answer
  • Kylie's family traveled <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D" id="TexFormula1" title="\frac{3}{10}" alt="\fr
    11·1 answer
  • Please answer ASAP!!!.........................................................
    15·2 answers
  • A system of two linear equations in which the lines are identical is classified as __________.
    9·2 answers
  • Ezra made 96 cupcakes for a bake sale at his school. Of the 96 cupcakes, 58 are chocolate and the rest are vanilla. What percent
    14·1 answer
  • ACB~EFD????????????​
    14·1 answer
  • I will give brainliest and 94 points.
    14·1 answer
  • Write the equation of the line parallel to the y axis at a distance of 7 units form it to is left​
    5·1 answer
  • Select the correct answer.
    14·2 answers
  • Convert 3/50 to a decimal
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!