Function Analysis:
Given function F(t) = 3(t-E)^2/(E^3), where E is a constant. Let's analyze this function step by step.

Understanding the Function:
- F(t) represents a mathematical function that depends on the variable t.
- The function involves a constant E, which affects the shape and behavior of the function.

Formula Analysis:
- The function F(t) = 3(t-E)^2/(E^3) is a quadratic function with respect to t.
- The numerator 3(t-E)^2 indicates a parabolic shape, where the function reaches its maximum or minimum at the point E.
- The denominator E^3 scales the function, determining how quickly it increases or decreases.

Behavior of the Function:
- When t=E, the function is equal to zero, representing the vertex of the parabola.
- For t
- For t>E, the function is negative, showing a concave shape opening downwards.

Conclusion:
In conclusion, the function F(t) = 3(t-E)^2/(E^3) represents a quadratic function with a parabolic shape centered at E. The constant E plays a crucial role in determining the behavior and characteristics of the function. By understanding the formula and behavior of the function, we can analyze its properties and make predictions about its graph and values at different points.