Newton's law of cooling states that the rate of change of temperature of an object in a surrounding medium is proportional to the difference of the temperature of the medium and the temperature of the object. suppose a metal bar, initially at temperature 50 degrees celsius, is placed in a room which is held at the constant temperature of 40 degrees celsius. one minute later the bar has cooled to 40.49787 degrees . write the differential equation that models the temperature in the bar (in degrees celsius) as a function of time (in minutes).

Explanation:

The differential equation for given  is given as

integrating above equation we have

ln(T-T_s) = -kt + C

At t = 0 , T(0) =  60

2.99 = C

 At t =1 , T(1) = 40.49887

- k = -3.687

So we have

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation

snell's law

refractve index = sin incidence / sin refraction