solve only ( 4 ,5 ,6 ) 3 - Given a scalar field T = (x+3)y² sin(2z) and a vector field A = ryi + y?(z+5)k, calculatethe following(1) Gradient of T: VT(2) Divergence of A: ỹ · Ã(3) Curl of Ã: 7 × Ã(4) マ-(マ× A)(5) V²Ã(6) マ×(マxA)

The gradient function is given by: ∇⇀=i^∂∂x+j^∂∂y+k^∂∂z Thus, we will use this expression to solve…

Answered: 3 - Given a scalar field T = (x +3)y²…

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solve only ( 4 ,5 ,6 )

Expert Solution

Step 1

The gradient function is given by:

$\overset{⇀}{\nabla} = \hat{i} \frac{\partial}{\partial x} + \hat{j} \frac{\partial}{\partial y} + \hat{k} \frac{\partial}{\partial z}$

Thus, we will use this expression to solve the problem.

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