Please Show All W 1. (8 points) Use implicit differentiation to find a7: x3 cosy +y = 5x + 3 s gunsbrod blon slugnatoon s esolone of amnow SH .gnionof to a some sill ssimixem Illw tardi blon ed to anoianamib ords b 1) svit aril gnoll bobsen gnionet or rhiw ,isvi 2. (8 points) A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x 4 cm. This box is constructed by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. ei but woll abnoose\\ "ine S to sist s is goescioni umulov elf ledl oe no Conine ordi to suit 3. (8 points) Find all numbers c that satisfy the conclusion of the Mean Value Theorem for f (x) = x3 - x over [0, 2]: (Hint: The Mean Value Theorem f'(c) = _ (b)-f(a) b - a - over the given interval [a, b])