tut5 - Math 237 Tutorial 5 Problems 1: Find the directional...

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

View Full Document Right Arrow Icon
Math 237 Tutorial 5 Problems 1: Find the directional derivative of V ( r, h ) = πr 2 h at the point ( r, h ) = (3 , 5) in the direction of a) ~u = (0 , 1), b) ~u = (1 , 1), c) ~u = ( - 2 , 1). 2: Find the greatest rate of change of f ( x, y ) = x 2 + 5 xy + y 3 at (1 , - 1) and in the direction which it lies. 3: The depth, in meters, of a lake at a point x km east and y km north of a buoy is given by h ( x, y ) = 150 - 30 x 2 - 20 y 2 . a) A rowboat is 1 km east and 2 km south of the buoy. At what rate is the depth changing with respect to distance in the direction of the buoy?
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online