Compute the definite integral as the limit of Riemann sums. 21) [ x3 dx -3 81 81 C)- 2 A) 27 D) 0 4

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A: To Determine :-  The definite integral  ∫13  2x2 - 3  dx  as limits of Reimann sums.

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A: We have to find

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Q: Prove that if f holomorphic in the region GCC and always real valued, then f is constant in G.

A: 1. f is holomorphic in the region G in ℂ 2. f is real-valued.

Q: 8 Express the limit_lim Σ (ck-4ck) Axk, where P is a partition of [ – 6,9], as a definite integral.…

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Q: Let Ln, Rn be the left and right Riemann sums for the function on [1,2]. 2 a) Place Ln, Rn and f dx…

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Q: divergence (D). IS TIOL (C), or (-1)"- 1)2 In(n + 1) (-1)"- 2) (In(n +1)) n = 1 1A, 2A b. a. e. 1C,…

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Q: 5. The set {2, 2.3, 3, 4.1, 5} determines a partition P. Let z1 = 2, z2 = 3, z3 = 4, z4 = 5 and f(x)…

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Q: 3.6 1 Suppose f E Rļa, b] and f(x) 2 0 for all r E [a, b). Prove: | f(x) du > 0. (Hint: Find a lower…

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Q: 28. Let (п — 1)2 12 S, 22 ... n? To calculate lim,2 S,, show that Sn + ... + п п and interpret S, as…

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Q: If a field K is algebraically closed, then every polynomiel with co efficients in k has a root in K.…

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Q: ) Evaluate the definite integral (3x?+2 +2x+ 1) dx by computing the limit of Riemann sums. SHOW…

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