need help to solve please see attached

*please answer everything*

Let f(x, y ) = x2 + sy2. (a) Find fx(6, 1) and fy (6, 1). f (6, 1) = f,(6, 1) = (b) Interpret the numbers in part (a) as slopes. Of,(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x2 + 5yz and the plane y = 6 at the point (6, 1, 41). f,(6, 1) is the slope of the tangent line to the curve of intersec + 5y2 and the plane x = 1 at the point (6, 1, 41). Of (6, 1) is the slope of the tangent e curve of intersection of the surface z = x" + 5y and the plane y = 1 at the point (6, 1, 41). f,(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x = 6 at the point (6, 1, 41). Of (6, 1) is the slope of th 2 and the plane y = 0 at the point (6, 1, 41). f,(6, 1) is the slope of the tangent line to the curve of intersection of the surface z = x2 + 5yz and the plane x = 1 at the point (6, 1, 41). Of (6, 1) is the slope of the tan the surface z = x2 + 5y and the plane y = 1 at the point (6, 1, 0). f,(6, 1) is the slope of the tangent line to the curve of intersecti x = 6 at the point (6, 1, 0). (c) Interpret the numbers in part (a) as rates of change. Of,(6, 1) is the rate of change of f(x, y) with respect to value of 12. Of (6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 0. f,(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of 1. O f (6, 1) is the rate of change of f(x, y) with respect to x with y held fixed with a value of 1. f,(6, 1) respect to y with x held fixed with a value of 6. Of (6, 1) is the rate of change of (x, y) with respect to x with y held fixed with a value of 0. f,(6, 1) is the rate of change of f(x, y) with respect to y with x held fixed with a value of o. Profit Functions The monthly profit (in dollars) of Bond and Barker Department Store depends on the level of inventory x (in thousands of dollars) and the floor space y (in thousands of square feet) available for display of the merchandise, as given by the equation. P(x, y) = -0.02x2 - 162 + xy + 20x + 26y - 20,000 Compute Or and of when x = 4000 and y = 150. (4000, 150) =[ ay(4000, 150) = Interpret your results. (4000, 150) tells us that monthly profit increases by s per thousand dollars increase in inventory. With the same inventory and floor space as above, a, (4000, 150) tells us that monthly profit decreases by $ per thousand-square-foot increase in floor space. Compute - and when x = 5000 and y = 150. -(5000, 150) = (5000, 150) = Interpret your results. (5000, 150) tells us that monthly profit decreases by $ per thousand dollars increase in inventory. with the same in floor space as above, a (5000, 150) tells us that monthly profit increases by $ per thousand-square