# Homework Help: Problem in cylindrical shell

1. Apr 18, 2009

### moaath

y=x^4, y=sin(pix/2); about x=-1

the solution is attached .

how he determinate it to be from 0 to 1 ...???
as I know , we usually put for example the expression of y1 = y2 and solve it for zero but in this case is not easy to do it,so how did he do it...??

note: my english is bad so please correct any thing wrong in my writing...thanks.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

#### Attached Files:

• ###### Picture 5.png
File size:
10.6 KB
Views:
86
2. Apr 18, 2009

### Astronuc

Staff Emeritus
y=x^4, y=sin(pix/2) intersect at 0 and 1, and looking at the shaded area in the figure, that is the area bounded (between) the two curves (function).

3. Apr 18, 2009

### moaath

may you show me the procedure of equaling the two equations step by step

thanks

4. Apr 18, 2009

### Staff: Mentor

You're right about the difficulty of solving an equation such as sin(pi * x/2) = x^4. Equations like this, where x appears in the argument of a transcendental function and outside it, are usually impossible to solve by algebraic means. I suspect that the author of this problem cooked up these functions so they would intersect at the origin and (1, 1).

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook