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Determinate the resultant velocity of an airplane. An airplane flies due west at a velocity of 645 kilometers per hour (km/h). The wind blows from the north at a velocity of 125 kilometers per hour (km/h). What is the plane's resultant velocity?
Visible light is incident on an oil film (n = 1.51) coating a puddle of water. What minimum oil thickness will maximize the reflection of each of these colors: blue (460 nm) and yellow (580 nm).
(a) Use a computer algebra system to find and simplify the derivative of the given function. (b) Without a computer algebra system, use differentiation rules to calculate the derivative. Make sure that the answer simplif ...
One function of organometallic reagents in chemical synthesis is the catalysis of hydrogen transfer reactions that would be very difficult in isolated organic compounds. For example, a chemical complex of rhodium and an ...
1 .A compact disc spins at a rate of 200 to 500 revolutions per minute. What are the equivalent rates measured in radians per second? 2. What is the approximate period of the moon's revolution around the earth?
A magnetic field has a magnitude of 0.00094 T, and an electric field has a magnitude of4.3 × 103N/C. Both fields point in the same direction. A positive 1.6-μC charge moves at a speed of 3.3 × 106 m/sin a direction that ...
How well does your existing resume convince employers that you're right for the job? In a short essay (1.5 to 2 pages), address the following questions: Does your existing resume reflect who you are as an employee? As a ...
King Kong drives his car down the interstate at 25 m/s. He sees a banana peel 500 m ahead. A. How much will king kong need to accelerate if he is to stop before hitting the banana peel? B. How much time will it take King ...
If adult children help pay for household expenses, take over physically demanding chores, and care for their aging parents who get sick or need assistance, child-parent relationships generally
Record breaking. Consider keeping track of the world record for some quantity x, say earthquake magnitude, or longjump distances jumped at world championships. If we assume that attempts to break the record take place at ...
1. What do you think of the idea of using a variational method to optimize an approximating distribution Q which we then use as a proposal density for importance sampling? 2. Define the relative entropy or Kullback-Leibl ...
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