The displacement y is expressed as a function of x and t in terms of the wave numberk and the angular frequency. write the equivalent equations in which y is shown as a function of x in terms of (a) kand v, (b) 1 and v(c) and fand (d) f and v.

Explanation:

The displacement equation is given by :

(a)

Since,

The above equation is in terms of k and v.

(b)

(c)

(d)

Where

k is the propagation constant

v is the speed of wave

f is the frequency of a wave

is the wavelength

Hence, this is the required solution.

this is poiselle's equation from fluid mechanic in physics. mech eng

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.