Given that y=14/√(1+6x^3 ), find dy/dx and use it to find an approximate change in y when x changes from 2 to 2.003. hence, find an approximate value of y when x= 2.003

Step-by-step explanation:

Given

Force directly proportional to acceleration

Force = 21N when Acceleraion = 7m/s^2

Required

Determine the force when acceleration = 9m/s^2

The variation between force (F) and acceleration (A) implies that:

Convert to an equation

Where m is constant.

When F = 21 and A = 7, we have:

Solve for m

When A = 9

Substitute 9 for A and 3 for m in