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(a) Find the best linear approximation, L(x), to f(x) = ex near x = 0.
(b) What is the sign of the error, E(x) = f(x) - L(x) for x near 0?
(c) Find the true value of the function at x = 1. What is the error? (Give decimal answers.) Illustrate with a graph.
(d) Before doing any calculations, explain which you expect to be larger, E(0.1) or E(1), and why.
(e) Find E(0.1).
Two 10-cm-diameter charged rings face each other, 21.0cm apart. Both rings are charged to + 50.0nC. What is the electric field strength at the midpoint between the two rings
Richard is driving home to visit his parents. 140 mi of the trip are on the interstate highway where the speed limit is 65 mph. How many minutes does he save
A cable is lifting a construction worker and a crate. The weights of the worker and crate are 965 and 1510 N, respectively. compute the tension in the cable below the worker
Two 6 g spheres are charged equally and placed 1.5 cm apart. When released, they begin to accelerate at 130 m/s^2. What is the magnitude of the charge (in Coloumbs) on each sphere
A small 12.5g plastic ball is tied to a very light 27.8cm string that is attached to the vertical wall of a room. Find the magnitude of the electric field in the room
Explain how Karl lifed th cement. How much time would it take for the police officer to catch the speeder, assuming that the speeder maintains a sonstant speed? How fast will the police officer be traveling at this time.
A long aluminum rod is struck at one end. At the other end an observer close to the rod, hears the sound of the blow twice, What is the length of the rod
Explain how fast would it be moving after it had fallen a distance of 0.010 m? (Assume that the gravitational force is constant over the distance of the fall, and that the star is not rotating.)
Compute the binding energy of the last neutron in the 43/20Ca Nucleus. [Hint: You must compare the mass of the 43/20Ca with the mass of 42/20Ca plus the mass of a neutron. The mass of 42/20Ca = 41.958622 u.]
Classical Mechanics: Projectile Motion, A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.80 m/s at an angle of 21.0° below the horizontal. It strikes the ground 3.00 s later.
Do you need to take into account the gravitational forces of the earth and moon on the protons? Why? I was thinking yes since thegravitational force on the moon is 1/6th of the Earth's and wouldaffect the weight.
A 7800 kg boxcar traveling at 18.0 m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 7.5 m/s. What is the mass of the second car
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