This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: the area of the region. x = 2y 2 , x = y 6.1 #19 Sketch the region bounded between the given curves and then nd the area of the region. y = sin x , y = sin 2 x , x = 0, x = 6.1 #24 Sketch the region bounded between the given curves and then nd the area of the region. y = e x , y = 1 2 e x + 1 2 , x =2, x = 2 6.1 #31 Imagine a cylindrical fuel tank of length L lying on its side; the ends are circular with radius b . Determine the amount of fuel in the tank for a given level by completing these steps: a. Explain why the volume of the tank may be modeled by V = 2 L Z bb p b 2y 2 dy 2 b. Explain why the volume of fuel at level h (b h b ) may be modeled by V ( h ) = 2 L Z hb p b 2y 2 dy c. Finally, for b = 4 and L = 20, numerically compute V ( h ) for h =3 ,2 , . . . , 4. Note: V (0) and V (4) will serve as a check on your work. 3...
View
Full
Document
This note was uploaded on 10/23/2011 for the course MATH 136 taught by Professor Prellis during the Spring '08 term at Rutgers.
 Spring '08
 prellis
 Math

Click to edit the document details