The function f (x, y) = ,x² +x + y² – xy + 3 has | a) None of these b) a critical point at (-2, –1) c) a critical point at (-1,-,) | d) no critical points
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- Show that f(x, y) = x^2 + y^2 − 2xy + 4 has infinite number of critical points and that D = 0 at each one. Then show that f has a local (and absolute) minimum at each critical point.The functions f(x, y) = x 2 + y 2 and g(x, y) = x 2 - y 2 both have acritical point at (0, 0). How is the behavior of the two functions at the critical point different?The functions f (x, y) = x^2 + y^2 and g(x, y) = x^2 − y^2 both have a critical point at (0, 0). How is the behavior of the two functions at the critical point different?
- The function f(x,y)=xy(1−5x−4y) has 4 critical points. List them and select the type of critical point.The function f (x, y) = x³ + y³ + 3x² - 3y² - 8 has local minimum at the critical point (0, 2). True or FalseThe function f(x,y) = R x y cos(t2)dt has exactly one critical point in the domain 0 < x < 2, 0 < y < 2. Find this critical point and determine whether it gives a relative maximum, minimum or saddle point for this funciton.