Answer True or False: Simpson\'s Rule on integral^6_0 x^4 dx with n = 10 produce

Question

Answer True or False: Simpson's Rule on integral^6_0 x^4 dx with n = 10 produces an exact answer (so E_s = 0) The Midpoint Rule on integral^7_0 x^4 dx with n = 10 gives an overestimate, M_10 greaterthanorequalto integral^7_0 The alternating harmonic series converges conditionally. The alternating harmonic series can be rearranged to converge to 2017. The Divergence Test is inconclusive for the series sigma^infinity_k = 1 13^k/k The Ratio Test is inconclusive for the series sigma^infinity_k = 3 20 k/k + 17 If sigma a_k converges then lim a_k = 0. integral^infinity_1 x_p dx converges if and only if p

Explanation / Answer

(a) False

(b) False

(c) True

(d) False

(e) True

(f) True

(g) True

(h) False

(i) True

(j) True

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