with clear solution reference on comment section

IV. Solve the following completely. 1. Use local linear approximation to estimate In ( v0.99 (3 points) 2. Find the absolute extremum values of f(x) = red-2 on the interval [0, 1]. (Note: e ! ~ 0.22) (3 points) 3. A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 212 - 16t + 30 in t 2 0 seconds. a. If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position function of the particle. (3 points) b. On which time interval(s) is(are) the particle slowing down? (3 points) c. What is the total distance travelled by the particle after 4 seconds? (1 point)