FOURIER SERIES Every periodic function f(t) which has the period T 2Tt/o and has certain continuity conditions can be represented by a series plus a constant fAt)= a a, cos (noof)b,sin (n) п %3 The above holds iff(t) has a continuous derivative f'(t) for all t. It should be noted that the various sinusoids present in the series are orthogonal on the interval 0 to T and as a result the coefficients are given by 0(1/T)t)dt a, (2/T)t) cos (nf)dt (2/T)t)sin(nwof)dt -T 1,2, ... п %3D COS 1,2,.. П — The constants an and bn are the Fourier coefficients of f(t) for the interval 0 to T and the corresponding series is called the Fourier series of f(t) over the same interval. SRasde Ao= 3 Cosnwt ct sinsnw nus Sinws SinnwatdlA COSShws1) 5nws PEL= 3 +S 6Sintnuss CoSsnw t 6COS(SnWa 6 5nwo Sin pwot

A report about an isolated community claims there are more newborn females than males, although we assume equal frequencies for each. Records indicate 628 boys and 718 girls born in the past month. What are H0 and Ha? Compute χ2obt. What is χ2crit? What do you conclude about birthrates in this community?

A small country had a population of 6.1 x 10° in 1990. Since then, the original population has doubled, and an additional 8.7 x Question 2 107 people have immigrated into the country. What is the population of the country now? 09.92 x 107 O 20.9 x 10 09.92 x 1018 Submit Question ype here to search F2 F4 F5 Prt F6 F8 F10 F7 F9 F11 F12 %23 & 4 6. 7 9. E Y U F H J K L C M * .00 ト

Use matlab

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See attached image. Please provide detailed steps and explanation of solution.