(c) In the plane provided below, draw a graph of both 3(t) and v0). ((1) Is there a relationship between the values of s and v at the values you found in part (b)? If so, describe. (e) Now assume that 5(1) denes the particle's position for 0 S a' S 7 . Draw the graph of 5(1) below. ........................ 14.. y. _......... (1) What are the absolute minimum and maximum values of s and where do they occur? Does this change your conclusion from part ((1)? \"More Problems on the Next Page'Ml 2. Find each of the following derivatives by using the limit definition: (a) d [ x ] de L V3 - 2t ]Section 3.1 Activity 1. Suppose that a particle's distance from a fixed point P after t seconds is given by the function s(1) = -1 - -12 + 10t, where s is measured in centimeters. Suppose that the particle's position is only modeled by this function for 1 St $ 6. (a) Determine the velocity function of the particle, v(t), by using the definition of the derivative. (b) Determine the value(s) of t for which the particle is at rest