Math Chapter Wise question with answer

Q01 If u is a homogeneous function of x and y of degree n, the value of ∂ ∂ ∂ ∂ ∂ 2 2 2 2 2 u u u x + 2xy + y x y is English · UPPSC Ashram Paddhati 2021 Q02 If F(u) = f(x,y,z) is the homogeneous function of degree n in x,y,z and ux= u x ∂ etc, then, xux+yuy+zuz= English · Rajasthan TGT 2013 Q03 If F is a differentiable point vector function and its second order partial derivative exists, then () (.) ∇ × ∇ ×... English · PGT 2005 Q04 If A = fxx (a, b), B = fxy (a, b) and C = fyy (a, b), then the function f(x, y) will have a maximum at the point (a... English · NVS PGT 10-06-2019 Q05 The function f(x, y) = 3x2 y + 4y3 – 3x2 – 12y2 + 1 has a saddle point at. English · Bihar (TRE 1.0) -2023 Q06 For the function f(x,y) defined as () 2 2 4 xy,if x,y 0 x y f(x,y) 0,if x,y 0 ≠ + = at the origin directional deriv... English · UP Higher Asst. Prof. 2021