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For the circuit below: Solve the circuit. Calculate the power delivered to each resistor.

Two 2.0 meter long wires carry electric currents as shown. What’s the force vector applied to the left wire? What’s the force vector applied to the right wire?

For the system shown below: If the mass were pulled back and released, what would be its period of oscillation? If the mass were hung from the ceiling by the spring, how much would the spring stretch from its resting length?

A uniform magnetic field of 0.60 T is directed to the left, and an electron moves up with a speed of 2.5×106 m/s. The electron has a charge of -1.602×10-19 C, and a mass of 9.11×10-31 kg. What’s the force applied to the electron by the magnetic field? What’s the acceleration of the electron? If the electron continues to act under the influence of this electric field, what will be the radius of its circular path?

A string with a mass/length ratio of 0.0020 kg/m has a speaking length of 0.80 m and a tension of 220 N. What’s the fundamental wave length? What’s the fundamental frequency? What speaking length would be required to double the fundamental frequency?

Find the equation of the tangent line to the curve at the point (0,2). Solve for y.

A ball is dropped from a height of 220 feet above the ground. The height s (measured in feet) at time t is given by . Find the velocity of the ball in ft/s on impact with the ground if it takes 5 seconds to reach the ground.

Using the alternative limit definition, determine whether or not the function is differentiable at c =2: Formula:

Use the chain rule to find the derivative of the function

A wooden artifact is found to have a carbon-14 activity of 8.2 disintegrations per second.  Given that the carbon-14 activity of an equal mass of freshly cut wood is 15.2 disintegrations per second, determine the age of the artifact in years.  The half-life of carbon-14 is 5717 years.