Need this 3! , thank you

FR #3 Consider the curve given by x2 + 4y2 = 7 + 3xy. a) Show that _ _ 3y-2x 8 y - 3 x b) Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P. c) Find the value of dxz at the point P found in part (b). Does the curve have a local maximum, a local minimum, or neither at the point P? Justify your