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As blood moves through a vein or an artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure). The formula that gives v as a function of r is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between v (in cm/s) and r (in cm) is given by the function v(r) = 18,500(0.25 - 2) ors 0.5. 0.5 cm (a) Find v(0.2) and v(0.3). v(0.2) = cm/s V(0.3) = cm/s (b) What do your answers to part (a) tell you about the flow of blood in this artery? The blood flows much faster 0.2 cm from the center than 0.2 cm from the edge. O The blood flows much slower 0.2 cm from the center than 0.2 cm from the edge. The blood flows with the same velocity 0.2 cm from the center as it does 0.2 cm from the edge. Nothing can be determined about blood flow from part (a). (c) Make a table of values of v(r) for r = 0, 0.1, 0.2, 0.3, 0.4, 0.5. r (in cm) V(r) (in cm/s) 0. 1 0.2 0.3 0.4 0.5 (d) Find the net change in the velocity v as r changes from 0.1 cm to 0.5 cm. cm/s1. (4 points) The maximum speed permitted on a particular highway is 75 mi/hr, and the minimum is 50 mi/hr. The fine F for violating these limits is $25 for every mile above or below the minimum. A. Complete the piecewise defined function where x is the speed at which are driving. if 0 75 B. Find F(45), F(65), and F(80). C. What do the answers in part B. represent? 2. (4 points) Find the domain of the following function and give your answer in interval notation. f(ac) = Vx2-4 2+3 3. (2 points) For f(ac) = 3x - 7, find A. f 2.z B 2f(x) 3 4. (2 points) Find A. the reference number t = _ lla 6 B. the terminal point determined by t. Activate Windows5. {4 points] Find the exact value of the trigonometric function at the given real number. No work is required on this question. A. sin( 37") 31-r B. csc(?) C. tan{ 5%) hr) D. sec( T 6. (4 points] Find the values of the six trigonometric functions oft when csc(t) : 3 and the terminal point off; is in Quadrant ||