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Calc 3 13.1

 

<== Calculus 3
Number Question Answer
See the work
1. Compute the gradient vector fields of the following functions:

A. f(x, y) = 10 x^2 + 1 y^2
&nabla f(x, y) = i + j

B. f(x, y) = x^{5} y^{6},
&nabla f(x, y) = i + j

C. f(x, y) = 10 x + 1 y
&nabla f(x, y) = i + j

D. f(x, y, z) = 10 x + 1 y + 5 z
&nabla f(x, y, z) = i + j + k

E. f(x, y, z) = 10 x^2 + 1 y^2 + 5 z^2
&nabla f(x, y, z) = i + j + k

A) 20xi + 2yj
B) i + j
C) 10i + 1j
D) 10i + 1j + 5k
E) 20xi + 2yj +10z k
The work
2. question Answer The work
3. question Answer The work