Please solve this with a Matlab code only

1. Evaluate the following integral (a) analytically, (b) the three-point Gauss quadrature formula, and (c) MATLAB quad function I=080.055x4+0.86x34.2x2+6.3x+2dx 2. The rate of cooling of a body (the following figure) can be expressed as dtdT=k(TTa) where T= temperature of the body (C),Ta= temperature of the surrounding medium (C ), and k= a proportionality constant (per minute). Thus, this equation (called Newton's 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 Ta=20C, the temperature of the ball changes, as in Utilize numerical differentiation to determine dT/dt at each value of time. Plot dT/dt versus TT a and employ linear regression to evaluate k