Find the angle of intersection of the curves `2y^(2) = x^(3) and y^(2) =32x`.

Explanation

To find the angle of intersection of the curves given by the equations \(2y^2 = x^3\) and \(y^2 = 32x\), we will follow these steps:

### Step 1: Find Points of Intersection
We start by solving the two equations simultaneously to find the points where the curves intersect.

1. **Equation 1**: \(2y^2 = x^3\) (1)
2. **Equation 2**: \(y^2 = 32x\) (2)

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