The planet xyz travels about the star abc in an orbit that is almost circular. assume that the orbit is a circle with radius 82 comma 000 comma 000 mi. assume there are 24 hours in one day on planet xyz. (a) assume that xyz planet year is 342 days, and find the angle formed by xyz's movement in one day. (b) give the angular speed in radians per hour. (c) find the linear speed of xyz in miles per hour.

15.3 cos 65 degrees trig

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.