The differential equation below models the temperature of a 85°c cup of coffee in a 21°c room, where it is known that the coffee cools at a rate of 1°c per minute when its temperature is 71°c. solve the differential equation to find an expression for the temperature of the coffee at time t. (let y be the temperature of the cup of coffee in °c, and let t be the time in minutes, with t)

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.

connect the batteries in series and hope

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas

its lower due to the doppler effect.: apex