Let w(x)=f(1)dt. The graph of f(x) is show below. a) Find w(1) b) Find w(3) c) Find w(-2) 4 T 1x 3 2 1 -1 -2 -3 d) Find w(-4) e) Find w'(x) f) Find w'(2) g) Find w'(1) Let s(1)=f(x) dx be the position of a particle at time t (in seconds) at the particle moves along the x-axis. The graph of the differentiable function fis shown below. Use the graph to answers the following questions. a) What is the particle's velocity at time t = 4 ? Justify your answer. b) Is the acceleration of the particle at time t = 4 positive or negative? Justify your answer c) Is the particle speeding up or slowing down at time t = 4? Explain. d) When does the particle pass through the origin? Explain. e) Approximately when is the acceleration zero? origin? f) When is the particle moving toward the origin? Away from the g) 0 which side of the origin does the particle lie at time t = 9? 8 -4 6 2 -6 4 -2 (6.6) (7.6.5) X 10