The rate of change in the temperature t of coffee at time t is proportional to the difference between the temperature m of the air at time t and the temperature of the coffee at time t. write a differential equation that fits the above description.

Step-by-step explanation:

The rate of change in the temperature T of coffee at time t is written as (remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as

Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).

Therefore we get

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.