Assignment:
Q1) What is the meaning and purpose of the axis of a quadratic function?
Q2) Solve the inequalities. State the solution set using interval notation for:
(x - 4) / (x + 3) < 0
and then for:
(x - 4) / (x + 3) > 0
What do you get when uniting the two sets of solutions?
Q3) The surface area A, of a cylinder with height h, and radius r, is given by the equation A = 2prh + 2pr^2. Find the radius of a cylinder with height 2 cm and area 4p cm2.
Q4) An arrow is shot straight upward with a velocity of 96 feet per second at instant t0 = 0; its altitude is defined in time by the following function:
f(t) = -16t² + 96t + 6.
From what altitude is it shot? For how many seconds is this arrow more than 86 feet high?
Provide complete and step by step solution for the question and show calculations and use formulas.