(Are these statements about the spring constant true or false?
a. The spring constant is a measure of the stiffness of
the spring.
b. The spring constant tells you how many newtons of
force it takes to stretch the spring one meter.
c. If a spring stretches easily, it will have a high spring
constant.
d. The spring constant of a spring varies with the
amount of stretch or compression of the spring.

true

true

false

true

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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.