Math Chapter Wise question with answer

Q01 Let C be the circle (x – 1)2 + y2 = 1, oriented counter-clockwise. Then the value of the line integral. ∫ 3 4 C 4 –... English · Bihar (TRE 1.0) -2023 Q02 The equation xy – z log y + exz = 1 can be solved in a neighborhood of the point (0, 1, 1) as y = f(x, z) for some... English · Bihar (TRE 1.0) -2023 Q03 Let V be the solid region in 3 ℝ bounded by the paraboloid y = (x2 + z2) and the plane y = 4. Then the value of ∫∫∫... English · Bihar (TRE 1.0) -2023 Q04 If a is differentiable vector point function and u is a differentiable scalar point function, then ∇ × (u a) is equ... English · RPSC PGT 2022 Q05 If f1 and f2 are differentiable scalar functions and v is differentiable vector function such that f1v = ∇ f2, then... English · RPSC PGT 2022 Q06 If r r, r r r ∧ =, then div r ∧ is equal to – English · UP PGT 2021