u/nks_viking

My comedk rank is 253xx i want to take ece branch in nie mysore last year's round 4 cutoff was 30k what will be this year's expected round 4 cutoff i please help me if seniors could help🙏

f(x, y, z) = e^(x²y) · sin(xyz²) + ln(1 + x²y²z²) + sec²(3x²yz³) + cos(x² + y² + z²)/(1 + x²y²z²)

Find

A = (∂⁸f / ∂x³ ∂y² ∂z³) at the point (1, "-1," 0).

Define

g(x, y, z) = (∂³f / ∂x ∂y ∂z) + A(x + y + z).

Find

B = ∭ g(x, y, z) dV

over the cube

0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1.

Finally evaluate

I = ∭ [f(x, y, z) + 2x + 2y + 2z] dV

over the cube

0 ≤ x ≤ B, 0 ≤ y ≤ B, 0 ≤ z ≤ B.

Find the exact values of A, B, and I.