Ormal basis in schwarzschild coordinates consider the metric component o," o,= η"--1. if the observer is at rest in schwarzschild coordinates, then the spatial schwarzschild components of o,- ub must all be zero. therefore, (12.24) where gyw is the schwarzschild metric here. since the other components are zero, this leads to the first of equations 12.10. because this vector has no spatial components, the condition implies that o, has zero schwarzschild time component. the same argument ap- plies to the other spatial basis vectors. (note that if the observer were moving in schwarzschild spacetime, then o, would have nonzero spatial components, and the spatial basis vectors would possibly have a nonzero time component.) exercise 12.6.1. argue in the space provided on the next page that the rest of equations 12.10 are correct if ono,, and o, point in the φ,-9, and r directions, respectively, in schwarzschild spacetime.

Two horizontal plates with infinite length and width are separated by a distance h in the z direction. the bottom plate is moving at a velocity u. the incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. align gravity with positive z. assume that the flow is fully-developed and laminar. if the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. sketch your system 2. identify the coordinate system to be used. 3. show your coordinates and origin point on the sketch. list all your assumptions. 5. apply the continuity equation to your system. nts of navier stokes equations of choice to your system 7. solve the resulting differential equation to obtain the velocity profile within the system make sure to list your boundary conditions. check units of velocity 8. describe the velocity profile you obtain using engineering terminology. sketch that on the same sketch you provided in (1). 9. obtain the equation that describes the volumetric flow rate in the system. check the units.

Asher cycles 12 miles in 16 hours. what is his speed?

Connie has $660,000 she wants to save. if the fdic insurance limit per depositor, per bank, is $250,000, which of these way is distributing her money between three banks will guarantee that all of her money is insured ?