Q1) Find the critical points of f(x) = x" (x – 4) = x*43 – 4x!8 Identify the intervals on which f is increasing and decreasing. Find the function's local and absolute extreme values. Q2) An object...

1/1 Please solve in detail. .

Extracted text: Q1) Find the critical points of f(x) = x" (x – 4) = x*43 – 4x!8 Identify the intervals on which f is increasing and decreasing. Find the function's local and absolute extreme values. Q2) An object falling from a roof has after t seconds a height h measured in feet given by h = 100 – 16 t². a) Find velocity and acceleration b) How fast is the object traveling when it hits the ground? Q3) An open-top box is to be made by cutting small congruent squares from the corners of a 12-in.-by-12-in. sheet of tin and bending up the sides. How large should the squares cut from the corners be to make the box hold as much as possible?