Answered: (14) The coeffici C)-² B) A) - D) (15)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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calculus medium, please solve questionnnn 15

$(13) Suppose that x (14) The coefficient of x3 in the Maclaurin series expansion of e²x is: C)-² D) B) A) - (15) In the Taylor series generated by f(x) = x¹/3 and x₁ = 1, the coefficient of (x - 1)² is c) - ²/ D) ² A) -² B) (16) For what values of p will both series B)-<p</ A) < p <2 (17) According to the method of partial fractions, A) -2 B) C) -1 (18) Which of the following series converge: B) Σx=177 A) ΣX=1/4 (19) logo (9)+ logo (4) is equal to: A) logo (13) 4 cos 0 sin²0-4 (3-sin 8 3+sing, de = (21) Which of the following improper integrals converge: A) x³ dx B)e-2x dx (22) S A) In +c and Ex-1* converge: C) p < and p > 2 B) sec ¹(sin 8) + c (23) Solve the equation In C) ΣX=1/ x+1 + (x-1) (x-1)(x-2)(x-3) D)3 e²+1 = 2: A) 21 e²-1 ek (20) Consider E-1 If the ratio test is applied to the series, which of the following inequalities results: A) lim > 1 B) lim > 1 k! k→∞e k+1 k-∞o e <1 < 1 C) lim = D) Σ=1(1 + ** B) 2 B) (2-sin C) In (2-1)+c 2+sine) e²+1 1-e² B (x-2) (24) The divergence test cannot be used to check the convergence of: k⁹ Β) Σ=1k5–11 A) Σ=1 4 cos (π k) 2k C) Σ=13k+1 (25) Assume f is a differentiable function, fx³ f'(x) dx = B) x¹ f(x) + c C) x³ f"(x)-3 fx² f(x) dx + C) logo ( D) ≤p < 2 C) (x-3)' D) lim 2+2e e-1 the value of B is D) In (x) dx k→ ∞0 k+1 D) tan ¹(sin 0)+c D) D) 6 2+2e 1-e D) Σ2-17/2² 2k=1 A) x³ f(x) - fx f(x) dx D) x³ f(x)-3 fx² f(x) dx$

Transcribed Image Text:(13) Suppose that x (14) The coefficient of x3 in the Maclaurin series expansion of e²x is: C)-² D) B) A) - (15) In the Taylor series generated by f(x) = x¹/3 and x₁ = 1, the coefficient of (x - 1)² is c) - ²/ D) ² A) -² B) (16) For what values of p will both series B)-<p</ A) < p <2 (17) According to the method of partial fractions, A) -2 B) C) -1 (18) Which of the following series converge: B) Σx=177 A) ΣX=1/4 (19) logo (9)+ logo (4) is equal to: A) logo (13) 4 cos 0 sin²0-4 (3-sin 8 3+sing, de = (21) Which of the following improper integrals converge: A) x³ dx B)e-2x dx (22) S A) In +c and Ex-1* converge: C) p < and p > 2 B) sec ¹(sin 8) + c (23) Solve the equation In C) ΣX=1/ x+1 + (x-1) (x-1)(x-2)(x-3) D)3 e²+1 = 2: A) 21 e²-1 ek (20) Consider E-1 If the ratio test is applied to the series, which of the following inequalities results: A) lim > 1 B) lim > 1 k! k→∞e k+1 k-∞o e <1 < 1 C) lim = D) Σ=1(1 + ** B) 2 B) (2-sin C) In (2-1)+c 2+sine) e²+1 1-e² B (x-2) (24) The divergence test cannot be used to check the convergence of: k⁹ Β) Σ=1k5–11 A) Σ=1 4 cos (π k) 2k C) Σ=13k+1 (25) Assume f is a differentiable function, fx³ f'(x) dx = B) x¹ f(x) + c C) x³ f"(x)-3 fx² f(x) dx + C) logo ( D) ≤p < 2 C) (x-3)' D) lim 2+2e e-1 the value of B is D) In (x) dx k→ ∞0 k+1 D) tan ¹(sin 0)+c D) D) 6 2+2e 1-e D) Σ2-17/2² 2k=1 A) x³ f(x) - fx f(x) dx D) x³ f(x)-3 fx² f(x) dx

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