Thread: Level Curves

Function:
How would you draw a contour plot and label the level curves for z=0, z=1, z=2, z=3, z=4, z=5? Also, how do you find out what the largest and smallest z-values are? Would the smallest be z=0 and the largest be z=5?

for the level curves z = c = 5- x^2 -y^2

x^2 + y^2 = 5 - c are concentric circles of radius sqrt(5-c)

for c= 0 ,1,2,3,4,5

Originally Posted by eri123

Function:
How would you draw a contour plot and label the level curves for z=0, z=1, z=2, z=3, z=4, z=5? Also, how do you find out what the largest and smallest z-values are? Would the smallest be z=0 and the largest be z=5?

because for all , then the largest value of is 5 and the smallest is