 |
|---|
| PAGE: 463 | SET: Exercises | PROBLEM: 31 |
The equation is 
, 
and 
.
(a).
Find 
- axis : Solve the function in terms of 
.
By using shell method 
.
Integrate from 
to 
.
The limits of 
is 
to 
.
The values of are 
and 
.
The values of 
are 
and 
.
Solve to find the value of 
.
The value of 
because it is the radius of the cylinder for any point within the integral.
and 
.
Apply integration :
(b).
Find - axis : Solve the function in terms of .
By using symmentry method :
The limits of is to .
Solve to find the value of 
.
Apply integration :
(c).
Solve the line for 
:
.
Apply integration :
(a) The volume of the curve about -axis is 
.
(b) The volume of the curve about -axis is .
(c) The volume of the curve for the line 
is 
.
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|