Square energy pulse traveling to the right with a speed v=2 m/s is given by the equation: f(x, t)=e if |x-vt|a≤f(x, t)=0 if |x-vt|> awhere e is an energy constant and a a length constant. i) plot this pulse as a funtion of x at t=0.ii) plot this pulse as a function of x at t=4 s. iii) expand this pulse as an infinite superposition of harmonic traveling waves of the type cos(t-kx) where /k=v.

Na food processing facility, a spherical container of inner radius r1 5 40 cm, outer radius r2 5 41 cm, and ther- mal conductivity k 5 1.5 w/m · k is used to store hot water and to keep it at 100°c at all times. to accomplish this, the outer surface of the container is wrapped with a 800-w electric strip heater and then insulated. the temperature of the inner surface of the container is observed to be nearly 120°c at all times. as- suming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container, (b) obtain a relation for the variation of temperature in the container material by solving the differential equation, and (c) evaluate the outer surface tempera- ture of the container. also determine how much water at 100°c this tank can supply steadily if the cold water enters at 20°c.

Which statement is best supported by the information in the chart? wave y is moving the fastest. wave x is moving the fastest. all of the waves are moving at the same speed. all of the waves have the same value of wavelengths per second.

Directions: count the number of atoms. ar co2 na3po4 so3 nac2h3o2