 |
|---|
| PAGE: 677 | SET: Exercises | PROBLEM: 66 |
The equations are 
and 
on 
.
If the curve given by the parametric equations 
and 
on 
is rotated about the 
-axis, where 
are continuous and 
, then the surface area is 
.
Consider 
.
Apply derivative on each side with respect to 
.
.
Consider 
.
Apply derivative on each side with respect to 
.
.
Surface area is .
Substitute 
, 
and 
.
Substitute .
.
Consider 
.
Apply parts of integration formula: 
.
Consider 
.
.
Consider 
.
.
.
.
Substitute 
in 
.
.
.
|
"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
  
|