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Obtain the Fourier series expansion for the following periodic function which has a
period of π: f(x)={(4/π)x for 0<x<π/2 (-4/π)x for (-π/2)<x<0
period of π: f(x)={(4/π)x for 0<x<π/2 (-4/π)x for (-π/2)<x<0
Find the domain of the function f, defined by f(x)=√((x^3)(9-x))
Editors of the business report in Exercise 38 are willing to accept a margin of error of 4% but want 99% confidence. How many randomly selected employers will they need to contact?
1. A company analyses its profits for four consecutive years, from 2007 - 2010. The profit made in 2007 was twice that in 2009. The profit made in 2008 was R14 million more than the profit made in 2009, while the profit made in 2010 was R 4 million less than the profit made in 2007. If the total profit made in these four years is R 58 million, determine the profit made in each year.
2. The total cost of two calculators and four math sets is R 440.00. If a calculator costs R 40 more than a math set, what is the cost of each?
2. The total cost of two calculators and four math sets is R 440.00. If a calculator costs R 40 more than a math set, what is the cost of each?
A Mercedes-Benz C-class is filled with R300.00 worth of petrol. With this amount of petrol, the car can cover a distance of 420 km. What distance will the car travel if it is filled with R500.00 worth of petrol? Use the concept of rate
You require 20 gel-ink pens. STORE XXX sells these pens at R 9.50 each, while store YYY sells them at
R 10.00 each, but have a 6% sale on all items. Further, store WWW sells these pens at R 19.00 each with a buy one get one free special. Finally, store MMM sells the pens at R 14.50 each with a third off the total price.
R 10.00 each, but have a 6% sale on all items. Further, store WWW sells these pens at R 19.00 each with a buy one get one free special. Finally, store MMM sells the pens at R 14.50 each with a third off the total price.
-7/20×5/28÷-2/16
Obtain the Fourier series expansion for the following periodic function which has a
period of π: f(x)={(4/π) for 0<x<π/2
period of π: f(x)={(4/π) for 0<x<π/2
Find the probability of drawing an ace or a spade from a deck of 52 cards in a single draw.
The probability that a person over 60 years of age in a certain community drinks alcohol is 2/5 and the probability that a person over 60 years of age has heart disease is 2/15. The probability that a person over 60 years of age drinks alcohol and has heart disease is 1/6. Are 'drinking alcohol' and 'heart disease' independent events?
