Final answer:
To find the arc length of the equation y = 2x² on the interval 0 ≤ x ≤ 2, we can use the formula for arc length.
Step-by-step explanation:
To find the arc length of the equation y = 2x² on the interval 0 ≤ x ≤ 2, we need to use the formula for arc length.
The formula for arc length in terms of a function y = f(x) is given by L = ∫√(1 + (f'(x))²) dx, where f'(x) represents the derivative of f(x).
For y = 2x², we need to find f'(x) = 4x. Substituting this into the formula, we get L = ∫√(1 + (4x)²) dx.
Integrating this expression from x = 0 to x = 2 will give us the arc length.