Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at x = c. f(x) = cot(x),  c = pi/4  P1 =

find f-1 (x) for the one-to-one function f(x) =4x+1/5

A ship is moving at a speed of 30 km/h parallel to a straight shoreline. The ship is 4 km from shore and it passes a lighthouse at noon. (a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon. S = f(d) = (b) Express d as a function of t, the time elapsed since noon. d = g(t) = √² + 16 X (c) Find fo g. (fog)(t) =

f(x) = −3(x − 2)(x + 1)(x + 2). Graph the function. Show all the work using steps and derivatives.