Define e_r(x, y, z) = where r = sqrt( x^2 + y^2 + z^2) and (x, y, z) 6= (0, 0, 0). the function er is often called the unit radial vector.

(a) show that the flux of f = e_r/r^2 through a sphere centered at the origin is independent of the radius of the sphere.
(b) calculate the flux of f through the disk d (oriented in the direction of the positive x-axis) of radius 3 parallel to the y − z plane and centered at (4, 0, 0).

The total number of dental clinics total for the last 12 months was recorded

The cost of using a service is $0.25 per min. what equation correctly represents the total cost c, in dollars, for d days of use?

Even if a person is in very good shape, applying to be a police officer requires commitment to fitness. applicants must pass a physical fitness test. in order to prepare for the test, janet purchases an activity tracker to court her steps. her goal is to walk 10,000 steps each day. she measures heard average step length to be 30 inches. play janet runs, her average steps length increases to 36 in. how many steps would she have to take to run 1 mile 50280 round to the nearest step