Consider the parabola given by y = x² + 1. a) Use Lagrange's method to find the point on the parabola which is closest to the origin (hint: use the distance-squared function f(x, y) : x² + y?). %3D b)...

Solve b part only in maximum 30 min and take a thumb up plz

Extracted text: Consider the parabola given by y = x² + 1. a) Use Lagrange's method to find the point on the parabola which is closest to the origin (hint: use the distance-squared function f(x, y) : x² + y?). %3D b) Consider now the portion of the parabola which is below the line y = 2. Which points have the largest distance from the origin in this case? Try to explain this situation from the point of view of Lagrange's method.