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 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 Q03 Find the maximum value from the extreme values of this function: u = x2 y2 – 5x2 –8xy–5y2 English · DSSSB TGT 04-09-2021 Shift-I (Male) Q04 If F is a differentiable point vector function and its second order partial derivative exists, then () (.) ∇ × ∇ ×... English · PGT 2005 Q05 For the function 1 y z tan x − = consider the following statements: 1 z z S x y 0 x y ∂ ∂ ≡ + = ≡ + = ≡ + = ≡ + = ∂... English · Rajasthan TGT 2016 Q06 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