The voltage, V, in volts, in an electrical outlet is given as a function of time, t, in seconds, by the function V=156cos(120πt).V=156cos(120πt). (a) Give an expression for the rate of change of voltage with respect to time.
(b) Is the rate of change ever zero? Explain.
(c) What is the maximum value of the rate of change?

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false