Calculate the gradient Vf of the following functions, f(x,y,z)
a. f = x^2 + z^3
b. f = ky where k is a constant
c. f = r = (x^2 + y^2 + z^2)^1/2 Hint use the chain rule
d. f = 1/r
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The Del operator is a vector operator. This means that it has three components (in three dimensional space) and it operates on a scalar function:
When applied to a scalar function this ...
This solution contains step-by-step calculations to determine the gradient of the vector operator using cross product and chain rule.
Deriving the PDE for a vector field from its curl and divergence
How do they come up with the equations in (308) mathematically? Why do (308) give solutions to (285) and (286). Or why do (308) determine whether (285) and (286) have 1 or more solutions? I don't wonder about the proof for why the La place (309) introduced as a general equation later in the text has only 1 solution. ThanksView Full Posting Details