1. Use Matlab or Excel to plot the function y -2+1 in the interval 0 r s5 1 point Hint: If using Matlab, type the following commands in the Matlab command window and hit enter' to plot. clear ezplot (12+x 2 1 , to,51) grid on The following subquestions have equal points (a) Find an expression for the rate of change of y with respect to r (b) Evaluate the rate of change of y with respect to r at the point (2,9) (c) If y is a measure of distance moved by a car in meters and r is the time in seconds taken to cover the distance v, what does the rate of change of y with respect to z represent? (d) For the problem in part Ic find the acceleration of the car (e) Find the equation of the tangent to the curve at the point (2.9) (f) Obtain the coordinates of the points with minimum slope and maximum slope in the domain (, and find the values of the slope at these points. g) If r and y have units of meters and the curve is the profile of the top surface of a solid body, find the area of -section enclosed by the curve, the 2-axis and the lines r = 0, and 5 (h) If the body in problem lig is 3D solid with a depth, of 1.0 m into the plane of your r-y curve plot, i.e. the depth is along the axis, find the volume of the body in m (6) If the density of the material of the body in Ig is 10 kg/m find the mass of the body