Math Chapter Wise question with answer

Q01 Let u (x) and v(x) be differential functions such that u(x) 7. v(x) = If () u' x v'(x) =p and ' u(x) q v(x) =, then... English · OAVS TGT 2022 Q02 Let E ⊆ ⊆ ⊆ℝ ℝ ℝ, f: E → ℝ ℝ ℝ and a ∈E. Suppose there exists a positive real number 'r' such that (a - r, a+r) ∩ E... English · DSE TGT 2019 Q03 If f: → R R be a positive increasing function such that x f(3x) lim = 1 f(x) → ∞ → ∞ → ∞ → ∞, then x f(2x) lim f(x)... English · UKPSC Lecturer (Mains) 2020 Q04 Let f: () ∞ → 0, R be a differentiable function, such that f'(x2) = 1 – x3 for all x > 0 and f(1) = 0, then f(4) = English · Haryana PGT 2018 Q05 Let f: R→ → →R be a differentiable function such that f'(x2)=4x2 –1 for x > 0 and f(1)=1. Then f(4) is English · LT 2018 Q06 Let f:[1, [ [2, [ ∞ → ∞ ∞ → ∞ ∞ → ∞ ∞ → ∞ be a differentiable function such that f '(2) 4 =. If x 3 1 6 f(t)dt 3xf(... English · KVS PGT 23-12-2018