URGENT HELP ON THIS PLEASE

Problem 2. points 30 Use MATLAB The rate of cooling of a body can be expressed as 1 dt where Ttemperature of the body(), Tatemperature of the surrounding medium cc, and ka proportionality constant (per minute). Thus, this equation (called Newtons law of cooling) specifies that the rate of cooling is proportional to the difference in the temperatures of the body and of the surrounding medium. If a metal ball heated to 80C is dropped into water that is held constant at T. 20C, the temperature of the ball changes, as in the following table: Table Data for Problem 2 Time, min O5 10 0 80- 4-1.5 30.0 24.1 21.7 20.7 15 20 25 1. Utilize numerical differentiation to determine dT/dt at each value of time. 2. Plot dT//dt versus T-T, and einploy linear regression to evaluate k. 3. Plot in the same figure as in item 2 the fitted line you obtained after the linear regression (item 2). n: Por the numerical differentiation you may use MATLAB's command following formula for a forward finite-divided difference: Discuss the results diff or the