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MCQ on Riemann integral

  MCQ on Riemann integral Part 1:- 1.  If P is common refinement of P₁ and P₂ then  (1 point)       ◯ P₁ ∪P₂⊂P       ◯ P₁ ∪P₂⊂P and P⊂P₁∪P₂       ◯ P₁ ∪P₂⊂P or P⊂P₁∪P₂       ◯ P⊂P₁∪P₂ 2.  If P is refinement of P1 and P2 ,then P is the common refinement of P₁ and P₂ (1 point)       ◯ True       ◯ False 3.  Let f be real and bounded on [ a,b]  α monotonically increasing on [a, b]  and P ={x₁,x₂,...xₙ} be partition of [a b] .then U(P,f,α)=________ (1 point)       ◯ ∑ᵢⁿ₌₁ Mᵢ∆αᵢ       ◯ ∑ᵢⁿ₌₁ mᵢ∆αᵢ       ◯  Mᵢ∆αᵢ       ◯ mᵢ∆αᵢ 4.  __________ is refinement of the partition P= {1,3,5,7,10}  of [1,10]. (1 point)       ◯ P₁={1,2,3,4,.....,10}       ◯ P₂={1,3,10}       ◯ P₃={1,3,5,7,9}       ◯ P₄=∅ 5.  If P* is refinement of P then...