these assigments should be done in Maple maths program.

Assigment 1: Find an approximate solution to the equation x + log x = 0..

Assignment 2: Define the 2nd degree polynomial p(x) = 2x - 11x + 12. Determine p(-3). Find any roots for p. Make a factor solution for p. Plot the graph of p in the window -1 < x < 6 and -5 < y < 25 with a grid/square grid.

asssigment 3: Define the functions: f(x) =4x/(x^2+1), and g(x) = 0.5x + 1. Draw the graphs of f and g in the same coordinate system in the interval [-6; 4]. Solve the equation f(x) = g(x).

assigmnet 4: The pressure in the water depends on the water depth. The table shows related values of water depth and pressure:

Water depth (meters): 0 6 11 17 22 28 Pressure (kilopascal): 101 158 209 266 317 375

In a model, the pressure (in kPa) is described by a function of the type f(x) = ax + b, where x is the water depth in meters.

a) Make linear regression based on the measurement points, i.e. find the linear function f that best fits them, where x is the water depth in meters and f(x) is the pressure in kPa (kilopascal).. b) How great is the pressure in a water depth of 8 meters according to the model? c) At what depth is the pressure 450 kPa?