The equation upper e equals startfraction 1 over 2 pi epsilon subscript 0 endfraction startfraction q ⁢ d over z superscript 3 endfraction is approximation of the magnitude of the electric field of an electric dipole, at points along the dipole axis. consider a point p on that axis at distance z = 23.00d from the dipole center (d is the separation distance between the particles of the dipole). let eappr be the magnitude of the field at point p as approximated by the equations below. let eact be the actual magnitude. what is the ratio eappr /eact?

Determine the maximum r-value of the polar equation r =3+3 cos 0

Need people build a dam to create a reservoir that supplies water a nearby city needs. describe two ways this action will likely affect the water cycle in the local environment. (5 points) worth 20 points

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will “stick” to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. part a what is the minimum rotational frequency, in rpm, for which the ride is safe? express your answer using two significant figures. f f = rpm