11Let f (z) =and I = P.V. Sdx.(x2+1)3(x²-3x+2)x(z2+1)3(z2-3z+2)zIf p = Res f(z)|z=-i, r = Res f (z)[z=i» S =Res f(z)|z=0, t = Res f(z)|z=1,and q = Res f(z)|z=2, which among the following is true to evaluate I?I=2xi(p+r+s+t+q)None of theseO I=2zir+xi(s+t+q)O 1=2ri(p+r)+ri(s+t+q)

Answered: Image /qna-images/answer/b3d9bdde-7495-4ccf-8973-f104049b0189.jpg

1 1 Let f (z) = and I = P.V. S dx. (x2+1)3(x2-3x+2)x (z2+1)3(z2-3z+2)z If p = Res f(z)|z=-i» r = Res f (z)|z=i, S = Res f(z)|z=0, t = Res f(z)|z=1, = Res f(z)|z=2, which among the following is true to evaluate I? and q I=2xi(p+r+s+t+q) None of these O I=2rir+xi(s+t+q) O l=2ri(p+r)+ri(s+t+q)

1 1 Let f (z) = and I = P.V. S dx. (x2+1)3(x2-3x+2)x (z2+1)3(z2-3z+2)z If p = Res f(z)|z=-i» r = Res f (z)|z=i, S = Res f(z)|z=0, t = Res f(z)|z=1, = Res f(z)|z=2, which among the following is true to evaluate I? and q I=2xi(p+r+s+t+q) None of these O I=2rir+xi(s+t+q) O l=2ri(p+r)+ri(s+t+q)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

1. (2D5 - 7D* + 2D³ + 3D²)(f) = 0
Find the value of fr and fy at (1, -1) when 4 f(x,y) +5x² + 3y². ry - f= = 9, f (1,-1) 3. 2. fa f- _ = - 6, f fa | fa | ,-1) 5. f = -7 = : 2 ,-1) 1 = 14, fv -1 = 4. : 1- = - 6,1 ,-1) 1,-1) = -10 = -10 = 14, 1 5 -1 = 2
2 Jlgull If F=(x^2+y^2+z^2)^n (xi+yj+zk) then V.F is (2n +3)(r 2n) I O (2n +3)(r 2n-1). .II O (2n- 3)(r 2n).11 .III O
af ду 5z + 14y If f(1, y) = is : then 5z — 14у 140z (5z – 14y)? 140z (5z + 14y)2 140z (5x + 14y)2 140z (Би — 14у)?
6) f(x, y) = 2x +3.xy +4y-5x+2y Ans. f(2,-1) = -6 local min.
Show that fy = fx if f(x, y)=e* +xlny+ylnx
Prove that y = e-3* (Acos 5x – Bsin 5x) + Cx; A, B and C are arbitrary constants wil ealto y"(17x + 3) + y"(102x + 1) + 578(xy' - y) = 0 If you use eliminating arbitrary constant
If f(X) = f () = (5 (x+2y 2x2 – y? Then f') 6 12 a) 4 -2 6 11 b) 4 3 6. c) -5 -2, (6 10 d) 4
Ofx)=5x"_3x²-Z+t] 4 2 find f6 and fW) (x) f =x* Inx find f') and fe
Find y in terms of x. dy = x 4(x 5 - 3) 2, curve passes through (1, 5) dx 17 A y = - (x5 -3) 3 + 15 1 B) y = x 15-3 + 15 27 с) у3 - (x 5 - 3) 1+ 83 D y = (x 5 - 3) 3 + 15 15
Find the S(5x3 + 3x2 – x + 2)dx A. x* +x³ -x² + 2x + c B. * + x' -x + 2x + c | 1 4 x³ + x3 3 --x2 + 2x +c 5 C. x5 + x* -x³ + 2x + c 4 2 D. *+** -+ 2x + e ** + x3 x² + 2x + c