USING MATLAB

The flow of blood in the human body is periodic, because of the way the heart works. In an artery, the blood flow rate is given by q = q0 q1+sin (t). The values of these constants are q0 = 490 mm3 /s, q1 = 285 mm3 /s, and = 0.65 s1. Create an array of time values from t = 0 to 10 seconds in increments of 0.1 second, and calculate a corresponding array of q values. Next, calculate the first derivative of the blood flow rate with respect to time, using dq/dt = cos (t). The units of dq/dt are mm3 / s2 .

(a) In Figure 1, plot the flow rate against time using a black solid line, and the value of dq/dt against time using red markers in the shape of a circle. Include a title, grid, and legend, and label the axes. Include the units for the variables used as axis labels.

(b) In Figure 2, plot the flow rate against time using blue markers in the form of diamonds, and change the scaling of the axes to 0 to 14 seconds for time, and 100 to 800 mm3 / s for the blood flow rate. Include a title and grid, and label the axes. Include the units for the variables used as axis labels.