Determine equation of pathline begining at given time
A velocity field is described by the equation given below with a= 3 m^2 / s^2 and b= 4 m^3. Determine the equation of the pathline begining at t=0 seconds and the point (x,y)=(5,3).
v=( (a*t)/ x) i + ( b / (y^2 *(t+2))) j
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A two dimensional velocity field is described by the equation given below with a= - 3 m/s and b = 12 m/s. Determine the value of the streamline passing through the point (x,y)=(4,6).
Suppose that a bank has $10 billion of one-year loans and $30 billion of five-year loans. These are financed by $35 billion of one-year deposits and $5 billion of five-year deposits.
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(a) What is the capacitance in picofarads of the system? (b) If the charges are changed to +260 pC and -260 pC, what does the capacitance in picofarads become? (c) What does the potential difference become?
A manufacturer claims the average life of a product is 500 hours. The lifetime of the product is assumed to follow an exponential distribution. What is the probability that the product will last between 200 and 800 hours?
The wire is wound into a thin, flat coil of many turns that has a radius of 0.150 m. The ends of the wire are connected to a 12.0-V battery. Find the magnetic field strength at the center of the coil.
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What is the maximum constant speed, in miles per hour, a stock car can travel around the 1000 ft radius turns that are banked at 31 degrees if the coefficient of static friction between the tires.
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