Question: We can graph a function f(x) of one variable as a curve in two dimensions, y=f(x). We can graph a function f(x,y) of two variables
We can graph a function f(x) of one variable as a curve in two dimensions, y=f(x). We can graph a function f(x,y) of two variables as a surface in three dimensions, z=f(x,y). It's more difficult to graph a function f(x,y,z) of three variables! One way to think about such a function is that it gives the temperature at each point (x,y,z) in space. A good way to visualize the function is to draw its level surfaces, the surfaces of the form f(x,y,z)=c.The temperature of a candle flame is about 1500F. The temperature of a typical room is 70F. Sketch a couple of representative level surfaces around the candle flame, which are surfaces for which all points on the surface have the same temperature, and label the temperature of each.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
