Math Chapter Wise question with answer

Q01 If L= → 2 2 (x,y) (0,0) sin(x + y) lim x + y and () → 2 2 (x,y) (0,0) x – y M = lim,then - x + y English · UPPSC Polytechnic Lecturer 2021 (I) Q02 If F is a differentiable point vector function and its second order partial derivative exists, then () (.) ∇ × ∇ ×... English · PGT 2005 Q03 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 Q04 If f(x, y) is a homogeneous function of x and y of degree n, then ∂ ∂ + ∂ ∂ f f x y is equal to English · UP PCS (Pre) 2009 Q05 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 Q06 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