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
yawa3891 [41]
2 years ago
11

Chris is mailing his friend a poster that has been rolled up in a long tube. He has a box that measures 20 inches by 8 inches by

4 inches. What is the maximum length the rolled poster can be?
Mathematics
1 answer:
krek1111 [17]2 years ago
6 0

Answer:

the answer is 6.63

Step-by-step explanation:

You might be interested in
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?​
Luden [163]

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

7 0
3 years ago
Find two power series solutions of the given differential equation about the ordinary point x = 0. compare the series solutions
monitta
I don't know what method is referred to in "section 4.3", but I'll suppose it's reduction of order and use that to find the exact solution. Take z=y', so that z'=y'' and we're left with the ODE linear in z:

y''-y'=0\implies z'-z=0\implies z=C_1e^x\implies y=C_1e^x+C_2

Now suppose y has a power series expansion

y=\displaystyle\sum_{n\ge0}a_nx^n
\implies y'=\displaystyle\sum_{n\ge1}na_nx^{n-1}
\implies y''=\displaystyle\sum_{n\ge2}n(n-1)a_nx^{n-2}

Then the ODE can be written as

\displaystyle\sum_{n\ge2}n(n-1)a_nx^{n-2}-\sum_{n\ge1}na_nx^{n-1}=0

\displaystyle\sum_{n\ge2}n(n-1)a_nx^{n-2}-\sum_{n\ge2}(n-1)a_{n-1}x^{n-2}=0

\displaystyle\sum_{n\ge2}\bigg[n(n-1)a_n-(n-1)a_{n-1}\bigg]x^{n-2}=0

All the coefficients of the series vanish, and setting x=0 in the power series forms for y and y' tell us that y(0)=a_0 and y'(0)=a_1, so we get the recurrence

\begin{cases}a_0=a_0\\\\a_1=a_1\\\\a_n=\dfrac{a_{n-1}}n&\text{for }n\ge2\end{cases}

We can solve explicitly for a_n quite easily:

a_n=\dfrac{a_{n-1}}n\implies a_{n-1}=\dfrac{a_{n-2}}{n-1}\implies a_n=\dfrac{a_{n-2}}{n(n-1)}

and so on. Continuing in this way we end up with

a_n=\dfrac{a_1}{n!}

so that the solution to the ODE is

y(x)=\displaystyle\sum_{n\ge0}\dfrac{a_1}{n!}x^n=a_1+a_1x+\dfrac{a_1}2x^2+\cdots=a_1e^x

We also require the solution to satisfy y(0)=a_0, which we can do easily by adding and subtracting a constant as needed:

y(x)=a_0-a_1+a_1+\displaystyle\sum_{n\ge1}\dfrac{a_1}{n!}x^n=\underbrace{a_0-a_1}_{C_2}+\underbrace{a_1}_{C_1}\displaystyle\sum_{n\ge0}\frac{x^n}{n!}
4 0
3 years ago
Find the volume<br> 12 poir<br> 2.2 cm
Tanzania [10]
Answer: 26.4
To find the volume u multiply 12x2.2=26.4
6 0
3 years ago
Avery owns a small business selling bagels. She knows that in the last week 6
Veronika [31]
Ugoiitciggxihoyxyhcohcoh
4 0
2 years ago
Hey, I need help! 2+2+=?
Basile [38]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • The volume of a cylinder is 144π in^3 and the radius is 4 in what is the hight
    10·2 answers
  • What decimal represents 6×1,000+2×10+3×1/10+5×1/1,000
    5·1 answer
  • If f(x)=3x-7 and g(x)=6x+4, what is f(x) + g(x)?
    6·1 answer
  • Two pipes can fill a tank in 98 98 minutes if both are turned on. If only one is used, it would take 29 29 minutes longer for th
    13·1 answer
  • Need help with this please
    10·1 answer
  • The expression 6x2 gives the surface area of a cube, and the expression x3 gives the volume of a cube, where x is the length of
    6·1 answer
  • What is the equation of the graphed line written in standard form?
    12·1 answer
  • One sanctuary had 180 green sea turtles come ashore to lay eggs last year. This year, the number
    10·1 answer
  • Pllllsssss help I’m having trouble
    9·1 answer
  • PLEASE HELP DUE IN 10 MINS!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!