The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Use analytic methods to do each of the following: (a) Determine when the particle is moving to the right, to the left, and stopped. (b) Find the particle's displacement for the given time interval. If s(0) = 3, what is the particle's final position? (c) Find the total distance traveled by the particle. v(t) = 5 (sint)^2(cost); 0 ≤ t ≤ 2π

Danielle has $127.02 in her account before making any transactions. over the course of a week, danielle makes the following transactions: transaction debit ($) credit ($) birthday check 75.00 night out 66.14 garage sale proceeds 121.58 charitable donation 42.25 doctor’s appointment 115.30 at the end of the week, how much money is in danielle’s account? a. $99.91 b. $27.11 c. $184.41 d. $142.16 select the best answer from the choices provided a b c d

Sunday: 1 1 2 monday: 1 tuesday: 2 1 2 wednesday: 1 3 4 thursday: 2 friday: 1 1 2 saturday: 2 jenna is a swimmer and trains every day. the schedule shown outlines the number of hours she trains each day. what is the total number of hours that jenna trains during the week?

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.