Unformatted text preview: a and b (measured in cm) and both sides are increasing at the rate of 1 cm/sec. If the area of the triangle remains constant, at what rate is the angle θ between a and b changing when θ = π 6 , a = 4, and b = 3? 4. The temperature at each point of a metal plate is given by the function T ( x,y ) = 100 ex 23 y 2 , where T is measured in degrees Celsius and x and y are measured in meters. (a) If an object at the point (3, 1) moves toward the point (1,2), does the temperature increase or decrease? At what rate? (b) Starting from the point (3, 1), in what direction does the temperature increase most rapidly? What is the rate of change in this direction? (c) Starting from the point (3, 1), in what direction does the temperature decrease most rapidly? What is the rate of change in this direction? 1...
View
Full
Document
This note was uploaded on 10/14/2009 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas.
 Spring '07
 Sadler

Click to edit the document details