problema function is given byy 2x3 3 x2 -12x 5a

Question

Problem:

A function is given by

Y= 2x3 + 3 x2 -12x + 5

a determine the finite values of x at which any local maximum of minimum occur and determine the corresponding values of y

b redo question a/ using Matlab

Problem:

A certain object experiences acceleration in m/s² according to the equation:

a(t)= 10 sin(2t)

the initial conditions are v(0)=0 and y(0) =0.

Determine expression for

a the velocity

b the displacement using indefinite integrals and constants using initial conditions.