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Let f : A → B is an onto function and E is subset of B. Then Prove that f(f-1(E))=E
An 7.00 foot extension cord has two 18 measure copper wires, each with a diameter of 1.400 mm. At what rate is energy delivered to the resistance in the cord when it is carrying a current of 1.00 A? W. At what rate is energy delivered to the resistan..
A heat pump has a coefficient of performance of 3.85 and operates with a power consumption of 6.91 103 W. How much energy does it deliver into a home during 2 h of continuous operation? How much energy does it extract from the outside air?
A college student is working on her physics homework in her dorm room. Her room contains a total of gas molecules. As she works, her body is converting chemical energy into thermal energy at a rate of 125 . If her dorm room were an isolated system (d..
A sample of vegetable oil with density 911 kg/m^3 is found to have a mass of 32.7g. Find the volume of this sample
If the electron drops back to the ground state, will a photon be emitted? If yes, find what would be the energy or wavelength of the emitted photon compared to that of the absorbed photon
A pilot wants to fly due north a distance of 125 km. The wind is blowing out of the west at a constant 35 km/h. If the plane travel at 175 km/h, how long would the trip take.
a box of books is initially at rest a distance d 0.367 m from the end of a wooden board. the coefficient of static
Two compact sources of sound oscillate in phase with a frequency of 110 Hz where the speed of sound is 340 m/s. What is the phase difference in the sound waves from the two sources at that point
Calculate the force a piano tuner applies to stretch a steel piano wire 7.70 mm, if the wire is originally 0.850 mm in diameter and 1.30 m long
A 1000kg car moving 40m/s skids to a stop. During the skid, the only force is the frictional force between the tires and the road, What is the initial kinetic energy of the car
Suppose that a binary-star system consists of two stars of equal mass. What is the mass of each
An indoor track is to be designed such that each end is a banked semi-circle with a radius of 28 m. What should the banking angle be for a person running at speed v=6.4 m/s
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