Pregunta: - In Problems 1-10, the functions are defined for all (x, y) € RP. Find all candidates for local extrema, and use the Hessian matrix to determine the type (maximum, minimum, or saddle point). 1. f(x,y) = x2 + y2 + 2y 2. f(x, y) = –2x2 - y2 + 2x 3. f(x, y) = xºy - 4x2 – 4y 4. f(x, y) = -xy - 2y2 5. f(x, y) = -2x2 + y2 – 6y 6. f(x, y) = x(1 + x - y) 7.

- In Problems 1-10, the functions are defined for all (x, y) € RP. Find all candidates for local extrema, and use the Hessian matrix to determine the type (maximum, minimum, or saddle point). 1. f(x,y) = x2 + y2 + 2y 2. f(x, y) = –2x2 - y2 + 2x 3. f(x, y) = xºy - 4x2 – 4y 4. f(x, y) = -xy - 2y2 5. f(x, y) = -2x2 + y2 – 6y 6. f(x, y) = x(1 + x - y) 7. f(x,y)=e--?-y? 8. f(x, y) = yxe-(x+y) 9. f(x, y) = x cos y 10. f(x, y) = y sin x