Part complete a potential energy function is given by u(x)=(3.00n)x−(1.00n/m2)x3. at what position or positions is the force equal to zero?

Given,

Potential energy, U(x)=3x-x^{3}

Force is given by, F=dU/dx

F= d(3x-3x^{3})/dx

=3-3x^{2}

For F=0 N,

3-3x^{2} =0

3x^{2} =3

x=√1

Therefore, at x=+1 and x= -1, the force for the given potential energy is zero.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2