Given:
The velocity field is given by:
u = x*y
v = x^3 - y

To find:
The circulation around a closed contour defined by x = 1, y = 0, y = 1, and x = 0.

Solution:
The circulation around a closed contour is given by the line integral of the velocity field around the contour. Mathematically, it can be represented as:

Circulation = ∮(u*dx + v*dy)

To calculate the circulation, we need to parametrize the contour and evaluate the line integral. Let's consider the contour defined by x = 1, y = 0, y = 1, and x = 0.

Parametrization of the Contour:
We can parametrize the contour as follows:

1. Line segment AB: x = t, y = 0 (where t varies from 0 to 1)
2. Line segment BC: x = 1, y = t (where t varies from 0 to 1)
3. Line segment CD: x = t, y = 1 (where t varies from 1 to 0)
4. Line segment DA: x = 0, y = t (where t varies from 1 to 0)

Calculating the Line Integral:
Let's calculate the line integral of the velocity field around each segment of the contour.

1. Line segment AB:
Circulation_AB = ∫[A to B] (u*dx + v*dy)
= ∫[0 to 1] (t*0 + (t^3 - 0)*0) dt
= ∫[0 to 1] 0 dt
= 0

2. Line segment BC:
Circulation_BC = ∫[B to C] (u*dx + v*dy)
= ∫[0 to 1] (1*t + (1^3 - t)*0) dt
= ∫[0 to 1] t dt
= 1/2

3. Line segment CD:
Circulation_CD = ∫[C to D] (u*dx + v*dy)
= ∫[1 to 0] (t*0 + (t^3 - 1)*0) dt
= ∫[1 to 0] 0 dt
= 0

4. Line segment DA:
Circulation_DA = ∫[D to A] (u*dx + v*dy)
= ∫[1 to 0] (0*t + (0^3 - t)*0) dt
= ∫[1 to 0] 0 dt
= 0

Total Circulation:
The total circulation around the closed contour is given by the sum of the circulations around each segment of the contour.

Total Circulation = Circulation_AB + Circulation_BC + Circulation_CD + Circulation_DA
= 0 + 1/2 + 0 + 0
= 1/2

Therefore, the correct answer is 'Range: 0 to 0'.