Suppose that, at a specific point p, the directional derivatives of the function f (x, y ) are known in two nonparallel directions given by the unit vectors u and v. in particular, suppose that d f d s = a in the u direction and d f d s = b in the v direction. is it possible to find the gradient of f at the point p? if so, show how to do it. if not, explain why not.

Match the atomic particles with their characteristics. 1. made of two protons and two neutrons neutron 2. similar to an electron; positive charge neutrino 3. orbits nucleus; negative charge positron 4. bundle of energy; zero charge proton 5. found in nucleus; positive charge meson 6. very unstable; +, -, or zero charge gamma 7. found in nucleus; zero charge electron 8. negative particle; negative charge beta 9. atomic energy converted to mass alpha

An important dimensionless parameter concerned with very high-speed flow is the mach number, defined as v/c, where v is the speed of the object such as an airplane or projectile, and c is the speed of sound in the fluid surrounding the object. for a projectile traveling at 1170 mph through air at 50 ˚f and standard atmospheric pressure, what is the value of the mach number?

Avehicle accelerates from 0 to 30 m/s in 10 seconds on a straight road