- #1
clairaut
- 72
- 0
Level function
[L(x,y,z)] = (1/r^2) (x^2 + y^2 + z^2) = 1
Vector [N([x(h,g)], [y(h,g)], [z(g)])] = parametric equation to sphere Level function [L(x,y,z)]
The parametric equations have 2 parameters, h and g
[x(h,g)] = (r [sin (a + gv)]) [cos (b + hw)]
[y(h,g)] = (r [sin (a + gv)]) [sin (b + hw)]
[z(g)] = r [cos (a + gv)]
Where r = radius, a = initial degree phi, b = initial theta, g and h are parameters, AND
v = constant not equal to zero
w = constant not equal to zero
v does NOT EQUAL w
a does NOT equal b
What is the directional derivative of this Level function?
[L(x,y,z)] = (1/r^2) (x^2 + y^2 + z^2) = 1
Vector [N([x(h,g)], [y(h,g)], [z(g)])] = parametric equation to sphere Level function [L(x,y,z)]
The parametric equations have 2 parameters, h and g
[x(h,g)] = (r [sin (a + gv)]) [cos (b + hw)]
[y(h,g)] = (r [sin (a + gv)]) [sin (b + hw)]
[z(g)] = r [cos (a + gv)]
Where r = radius, a = initial degree phi, b = initial theta, g and h are parameters, AND
v = constant not equal to zero
w = constant not equal to zero
v does NOT EQUAL w
a does NOT equal b
What is the directional derivative of this Level function?