9) The table below gives specic values for a differentiable function p(x). Perform a tangent line approximation to estimate the yintercept in the graph of y = p(x). Show the calculations that lead to your answer. For the following graph, what is the total distance traveled at time, t = 4? Ad 12 10 Distance (m) 1+ 5 Time (9)For the following graph, what is the displacement of the object between t = O and t = 2? 12 'lEI 8 l3 4 2 Distance (m) dr Find if r (x) = 9x 4+ 5x - 3. dx Il 8) The vertical position of an object is modeled by the function h(t) = 16t2 + 5!" + 7, where h is measured in feet and t is measured in seconds. Find the object's initial velocity (that is, the velocity at t = 0). Use y'(3) to determine if the graph of y = 4cosx+ is increasing or decreasing when x = 3. | Use a tangent line approximation at x = 0 to estimate the value of sin(0.1)