Question

Write an equation to model the distance between the point (2,4) and any point along the curve

y=4x3 + 1.

Answer 1

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2] where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]