20CFinalDec2008 - Math 20C Final Exam 150 points December 9...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 20C Final Exam 150 points December 9, 2008 -------------------------------------------------------------------------------------------------------- Directions: Show all work and justify all answers. -------------------------------------------------------------------------------------------------------- (1) A solid cone of height 5 is cut into two pieces A and B, via a slice parallel to the base of the cone. Piece A is a cone of height 4. Which piece has the greater volume, piece A or piece B? Justify. (15 pts) ------------------------------------------------------------------------------------------------------------ (2) Use a triple integral to show that the volume of a sphere of radius 1 equals /3. (20 pts) ------------------------------------------------------------------------------------------------------------ (3) A mountainous surface z = f(x,y) is defined (implicitly) in the neighborhood of the point P = (1,4,1) by the equation 2x 2 + y 2 + 6z 2 = 6xyz . An aunt standing at
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online