dy Prob. 5 (a) ( ....) Given the curve x³ - xy² + y³ = 1, use implicit differentiation to find da at the point (-1, 1). (b) The volume of a cube is decreasing at a rate of 6 cm³/s. How fast is the length of each edge changing when each edge is 2 cm?

A gift box is made in the shape of a triangular prism. The triangular end is an equilateral triangle with length x cm and the length of the box is The volume of the box is 300 cm³. r cmX Кx ст у ст х ст (a) Find an expression for y in terms of x. (b) Show that the total surface area A cm?, of the box, is given by 1200v3, v3x? 2 A = (c) Find the value of x that gives the minimum total surface area. Justify your answer.