9. 10. 11. 12. 13. 14. A particle moves in a straight line with position function 3(t} : x/t 12), 1 E t S 9, where t is measured in seconds and s in centimeters. a. Find the velocity v(t) and acceleration a(t) b. At What time is the particles at rest c. Find the total distance traveled d. When is the particle slowing down? Find the volume of the largest right circular cone that can be inscribed in a sphere of radius Sketch the graph of f (1:) = a; 1:2 BI by nding intervals of increasing/ decreasing, intervals of concavity, local extremes and IPs. Use Intermediate Value Theorem and Rolle's Theorem to show that at) = 1:4 + 31' + 5 has exactljr one zero in the interval [1,U]. Let at) : I? a. Show that the Newton Method leads to the recurrence 1 a In+1: 3371+; - TI. The equation I3 2:1: 5 = 0 has a root near a: = 2. Starting with $1 = 2, compute three iterations $2, .733 and 224, to estimates for the root