Need help with this, need an explaination so that I can also understand

Thank you

(a) Find the absolute extrema of f (x) = on the interval [0, 3]. x'- x+1 (b) The length of a rectangle is increasing at the rate of 8cm/s and its width is increasing at the rate of 5 cm/s. When the length is 20 cm and the width is 12 cm, how fast is the area of the rectangle increasing at that instant? In(1 + x2) (c) Use l'Hopital's rule to evaluate the lim 040 1 - cos(2x(3) Find the point (3:0, ya.) on the line 3,: = 2 2:: that is closest to the point (52). {b} If A = 1200 01112 of material is available to make a box with a square base and an open top: nd the largest possible volume of the box