Consider a region r bounded by r = 0, y = 0, z = 0,z+y+ z = 1. let fek. the boundary of the region r consists of 4 faces. they are in z 0,y 0,: = 0 and r+y+z = 1. show that the flux of f across the face in z = 0, with the downward orientation. is equal to the flux of f across the face in z+ y+z = 1, with the upward orientation, by using divergence theorem.

If the speed of a particle triples ,by what factor does its kinetic energy increase?

Asubject in a clinical research trial experiences a serious, unanticipated adverse drug experience. how should the investigator proceed, with respect to the irb, after the discovery of the adverse event occurrence? a. do not report the adverse drug experience to the irb since it is a common adverse experience.b. report the adverse drug experience to the irb only if there are several other occurrences.c. report the adverse drug experience as part of the continuing review report.d. report the adverse drug experience in a timely manner, in keeping with the irb's policies and procedures, using the forms or the mechanism provided by the irb.

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].