a few useful properties of fourier transforms a) proove parseval's theorem (10) for any regular function g(k) exp(ikr)dk with f(x) exp(-ikx)dr b) the convolution of two functions fi and f2 is defined as the integral show that if g(k) is the fourier transform of f(x) and gi(k) and g2(k) are the fourier transforms of fı(x) and f2(x) respectively, then

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

inverse v=i*r

nice nice