2. Soru 8 Puan Which one of the following statements are NOT correct? I. IF È...
15. Soru 4 Pu Which of the following gives the complete list of the convergent series among I, II, and III? I. II. III. 8W 1 1 1 n=1 n n=1 nn ns1 n3 All and 111 O B) III only C) I and II D) Il only E) I and III
Soru 4 10 puan Which one of the following describes the intersection of surfaces z2=x2+y2 and z2+x2+y2=1? Circle Ellipse O Line O Parabola
4. (a) Indicate where the series is (i) absolutely convergent, n-1 where it is (ii) conditionally convergent, and where it is (iii) divergent. Justify your answers Find f,(z) if f(x) = arctan (e* ) + arcsin V2x + 4. (b) (a) Set up (but do not evaluate) a definite integral that represents the area 5. of the region R inside the circle r = 4 sin θ and outside the circle r = 2. Carefully sketch the region R. (i)...
1. Answer the following questions. Justify your answers. (a) (3 marks) For what values of x does the series 1 + 22x 2 + 24x 4 + 26x 6 · · · + 22nx 2n + · · · converge? (b) (9 marks) Is the following series absolutely convergent, conditionally convergent or divergent? i. X∞ n=1 2 √ n − 2 √ n + 1 ii. X∞ n=1 arctan(n) n2 + 1 iii. X∞ k=1 (−1)k k 1. Answer the...
Pt 1 pt 2 pt 3 pt 4 Please Answer every question and SHOW WORK! Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...
Kalan süre: 177:16 Soru 1 Which of the following statements are true? Select all that apply Yanitiniz: inn The series Σ 8 Inn is convergent by the root test. The series Σ n=3 ninn[In(Inn)) diverges by the Integral Test. 0.62 = 0.626262...- (0.62) no The series in(9n+ + 7) - In(4n1 + 6n +9) diverges by the Divergence Test. n=1 Since Σ 8 + cos(1/n) s2 6" the series Σ 8 + cos(1/n) is convergent by the Comparison Test. nao...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
Show if this is convergent, conditionally convergent, or divergent using one of the following tests: divergence, integral, comparison, ratio, or alternating series (-3)”n! 2, (2n + 1)! n=1
PLEASE ANSWER AS MANY AS YOU CAN I NEED THE EXPLANATIONS TO STUDY (((((( [03] Letan = n3"x", then lim lan+1/an] = (A)x/31; (B) 3xl; (C)|3/x]; (D) xl; (E) None of these. [04] The radius R of convergence of n3yn is (A) 1; (B) 72; (C) 3; (D) 1/3 (E) None of these. [05] The interval of convergence of Zn3"x" is (A) [-1/4,44); (B) (-1/4, 14); (C) (-1/4,44]; (D) [-1/4,44]; (E) None of these. [06] The radius of convergence ofx/n3")...
At least one of the answers above is NOT correct. (1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter I (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you...