Equations using Complex Number
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Equations using Complex Number

Equations using Complex Number The topic called Equations using Complex number requires some skills like general solutions for trigonometric equations, De Moivre’s theorem for expanding binomial terms, and finding the angles to make the equations true. The outcome of the binomial expansion and the expansion by De Moivre’ theorem must be equivalent. So the real...

Absolute Error Relative Error
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Absolute Error Relative Error

Absolute Error Relative Error Absolute Error Relative error are two types of error with which every experimental scientist and mathematician should be familiar. Whenever we measure a quantity there is almost always a difference between our measurement and the actual value. We call this difference the error. Absolute Error Absolute error is the amount of...

Average Speed for a Minimum Running Cost
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Average Speed for a Minimum Running Cost

Minimum Running Cost for Finding an Average Speed The cost of running a car at an average speed of v km/h is given by cents/hour. Find the average speed, to the nearest km/h at which the cost of 500 km trip is a minimum.