. Question 1 > If f(x) = 5x - 2ez, find: f' (x) = f' (1 ) = f" (x) = f"' (1) =. Question 2 0/1 pt 0 3 99 Let s(t) = 4t* + 48t + 180t be the equation of motion for a particle. Find a function for the velocity. v(t) = Where does the velocity equal zero? [Hint: factor out the GCF. ] t and t Find a function for the acceleration of the particle. a(t)=\fQuestion 5 > Match each function with its graph Q Function Graph Color - v f' (x) a. green v f" (x) b. red - v f(x) c. blueQuestion 6 -5 -4 18 -2. 4 5 -1 At the point shown on the function above, which of the following is true? Of' > 0, f" 0, f" >0 Of' 0. Question 7 -4 -3 The function graphed above is decreasing on the interval The inflection point is at I ='Question v Bong-1:03.39 For some tasks, a sigmoid learning curve is used to model proficiency. Suppose the percent proficiency.r is ll] given by the model Pft] = m, where t is days of practice. Find the inflection point, the point where additional practice starts producing diminishing returns. Give your answer accurate to at least 2 decimal places