Question

Find the equation of the evoluted of the curve x^2/3+y^2/3=a^2/3​

Answer 1

441/823818+825-745=85508-84222+84225/718=7528985

Answer 2

Answer:

Radius of curvature = 3a(xy)

Step-by-step explanation:

Let X=a³ × cos³(alpha) & y=a³ × sin³(alpha) now differentiate both the terms wrt (alpha)

You will get dy/dx = -tan(alpha) & similarly

d²x/d²y = -sec²(alpha) × d(alpha)/dx

Radius of curvature = 3a(xy)