Posted by Paul on Wednesday, August 8, 2012 at 1:18pm.
This is a question from my textbook that does't have a solution and quite frankly I have no idea what to do. Any tips would be greatly appreciated.
Given the function f defined by f(x) = 9  x^2. Find the surface area bounded by the curve y = f(x), the x axis and the lines x = 2 and x = 0.
(a) Find the Riemann Sn sum algebraically, obtained by cutting the surface in n intervals of equal width and considering circumscribed rectangles
(b)Evaluate the surface area by finding lim n>infinite Sn
Thank you

Calculus  Reiny, Wednesday, August 8, 2012 at 2:14pm
for your first part of the question,
area = ∫(9x^2) dx from x=0 to x=2
= 9x (1/3)x^3  from 0 to 2
= 18  (1/3)(8)  0
= 18  8/3
= 46/3 units^2
The last time I taught Riemann's sums was about 50 years ago, so I will not attempt that part.

Calculus  Paul, Wednesday, August 8, 2012 at 9:28pm
Thanks Reiny :)
Answer This Question
Related Questions
 Calculus  Given the function defined as f(x)=x^3(3/2)x^26x+10 a) Explain why ...
 Calculus  Given the function defined as f(x)=x^3(3/2)x^26x+10 a) Explain why ...
 Calculus  I have no idea how to do this question. Would be appreciated if ...
 Calculus  This is another textbook number that doesn't have the solution and I ...
 Chemistry  How many millilitres of a 0.1 M solution of NaF and of 0.1 M ...
 World History  How did Renaissance thinkers think the individual was defined? ...
 math,algebra  I have to write a linear cost function for the situation given. ...
 Physics  QUESTION: In the figure provided, a 2.83 kg textbook is connected by a...
 Calculus  A baseball team plays in a stadium that holds 68000 spectators. With ...
 Math (Algebra)  I am having a bit of trouble with the question stated below. I ...
More Related Questions