The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by:
curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
For our vector field F = Txi + 7zj + yk, we have P(x, y, z) = Tx, Q(x, y, z) = 7z, and R(x, y, z) = y. So, we can
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