Question

Find thw shortest distance between the equation of a parabola and a lime

Answer 1

Answer:

parabola

y²=64x

dy/dx = -32/y

slope of line 4x+3y+46=0 is -44/3

point on parabola closest to line is point at which slope of tangent equals slope of line, (9,-24)

hence, shortet distance from parabola to line is

4(9)+3(-34)+46÷5=2