Question

If Φ (x, y, z) =3x^2y-y^3z^2 find Del operatioΦ at the point (1,-2-3) find x​

Answer 1

Answer:

Please find the attachment

Answer 2

Answer:

The answer to this question is  $-12 i - 105 j - 48 k$

Step-by-step explanation:

Gradient:

• The gradient of an equation is denoted by ∇
• the gradient is a vector consisting of the sum of partial derivatives in three dimensions
• simply, we can say the derivatives of each variable in the given equation.

given, Φ (x, y, z) =3x^2y-y^3z^2

∇ Φ (x, y, z) = $(6xy) i + 3x^{2} - (3y^{2}z^{2}) j - (2y^{3}z^{2})k$

hence, ∇ Φ (1, -2, -3) = $-12 i - 105 j - 48 k$

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