Suppose you have just poured a cup of freshly brewed coffee with temperature 95°c in a room where the temperature is 20°c. newton's law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. therefore, the temperature of the coffee, t(t), satisfies the differential equation dt/dt=k(t-troom) where troom=20 is the room temperature, and k is some constant. suppose it is known that the coffee cools at a rate of 2c per minute when its temperature is 60c. a) what is the limiting value of the rate cooling? limit as t goes to infinity of dt/dt=? b)find the constant k in the differential equation: k=? c)find the temperature of the coffee at time t t(t)=?

theres no picture: /

step-by-step explanation:

hi how are you doing today? if you ever need just tell me

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft