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1. Suppose that g and h are continuous on [a, b] and differentiable on (a, b). Prove that if g'(x) ≤ h'(x) for a
2. Deduce the Constant Function Theorem from the Increasing Function Theorem and the Decreasing Function Theorem.
A ball of mass 0.300kg that is moving with a speed of 5.4m/s collides head-on and elastically with another ball initially at rest. Calculate the velocity of the target ball after the collision
a solenoid that is 91.4 cm long has a cross-sectional area of 15.0 cm2. there are 1000 turns of wire carrying a current
Find an average magnitude of the induced emf . A bungee jumper, who's mass is 79 kg, jumps from a tall building. After reaching his lowest point, he continues to oscillate up and down, reaching the low point two more times in 8.2 s.
During a 56-ms interval, a change in the current in a primary coil occurs. What is the change in the primary current
Radio waves are electromagnetic waves that travel at a speed of 3.00 108 m/s, the speed of light. Find the wavelength of these radio waves
a 7.60 cm length of straight wire runs horizontally along a north-south line. the wire carries a 3.25a current flowing
An electron moving in one dimension is confined between two walls seperated by a distance L = 10^-10 m. What is the average force that the electron exerts on the walls
A weight is attached to one end of a lightweight spring held at other end. When the weight comes to rest, the spring is stretched 20 cm beyond its natural length. In another condition the weight is completely immersed in water.
A highway curve has a radius of 114 m. At what angle must the road be banked so that a car traveling at 26.7 m/s has no tendency to skid sideways on the road?
Calculate the deBroglie wavelength of electrons that have been accelerated by 50,000 Volts (Remember the relation between energy and momentum). The answer is 5.486*10^-12 meters, but I'm not sure how to get it.
Three successive resonance frequencies in an organ pipe are 1470, 2058, and 2646 Hz. What is the length of the pipe
A 60 W light bulb is 30% of the electric energy is converted to light energy. How many joules of thermal energy does the light bulb use each minute? How many joules does the light bulb convert into light each minute it is in operation?
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