If the rate of change in the microwave rays M(x), where x is the distance, decreas with a rate that is inversely proportional to the square of the number of microwav rays, write the differential equation that describes the rate of change of the oven temperature, given a distance, x. Do not solve.If the rate of change of T is proportional to (30 + T), where T > -30. If T(0) = 4, and T(2) = 6, find T(5).The number of ants in Bob's kitchen increases at a rate that is proportional to the number of ants present each day. If there are 20 ants on day 0, and 60 ants on day 4, how many ants will there be on day 14? Round to the nearest ant.If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) = 100, Find k, the proportionality constant.The number of children in a church is increasing at a rate that is proportional to the number of children present each year. If the church starts out with 4 children, and after 3 years there are 15 children. Find the number of children after 5 years. Round to the nearest child.If an object's height is changing at a rate proportional to its original height. Does it make sense to use differential equations to model the height, H, of the object? If so, write the differential equation. If not, explain why.Assume that a population, P, is changing at a rate proportional to 75 - P. Does it make sense to use differential equations to model the population size? If so, write the differential equation. If not, explain why.If an object's mass is changing at a rate proportional to its weight at a given time, does it make sense to use differential equations to model the weight, W, of the object