Initial charge of resistor
A capacitor of 1.01 x 10-3 µF consists of an initial charge of 0.100 C. If a resistor is joined across the capacitor plates, there is an initial current via the resistor of 1.02 A. Determine the current 1.04 s later?
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At the same time west bound train leaves Toronto to Vancouver travelling at about 70 km/h. How far from Toronto are trains when they pass each other? For how long have they been travelling?
What is the probability that on a randomly selected day during this period a unit of currency B was worth less than 1.227 units of currency A? (in percentage)
In the last quarter of the 2007, a group of 64 mutual funds had the mean return of 1.2% with a standard deviation of 6.5%. Suggest the Normal Model N (0.012, 0.065) for the returns of these mutual funds.
Determine local maximum and minimum values (approximate to two decimal places) of function and values of x at which they happen: f(x) = 3.3 + 1.6x - 2.5x3.
The November 17, 1994 issue of The New England Medical Journal reported upon a study of the effects of hormone therapy upon middle-aged women.
An object of 50 kg is sitting on top of a position which is supported by a cushion of air in a cylinder. The radius of the piston is around 1 m. i) In order to support the weight, determine how much force is required?
If a mass of 0.72 kg is joined to a vertical spring, the spring stretches by 15 cm. Determine how much mass (total) should be joined to the spring to result in a 0.60 s period of oscillation?
If $3,000 is invested at the interest rate of 9% per year, determine amount of investment at the end of 5 years, for the given compounding methods: semiannual, weekly, hourly, continuously.
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