If z=Ae^(iTheta), show that dz=izdtheta, and show the meaning of this relation in a vector diagram.
If z=Ae^(iTheta), show that dz=izdtheta, and show the meaning of this relation in a vector diagram.
Show the following is an equivalence relation: Define the relation ∼ on Z by a ∼ b iff a − b = 7k for some k ∈ Z. Then ∼ is an equivalence relation
Referring to diagram below, the 2.4m, 3.6kN rod is held by a ball-and-socket joint at C(ie there is no moment existing at C) by two cables AD and AE (a) Express AD and AE in vector format, (b) Determine the tension in each cable, (c) and the force acting on the support at C in vector format 0.8 m 0.8 m 0.6 m 1.2 m 1.2 m 3,6 kN 1.2 m Referring to diagram below, the 2.4m, 3.6kN rod is...
5. Suppose z() is a phasor given in the form zt)- Ae. Find all solutions that satisfy dz) 100()-o. dt
#19 and #18 f(z) dz Im f(z) dz? Give reason. 18. Is Im |f sa d = f.1se09| f(z) dz? f(z) dz| 19. Is f(z) dz Im f(z) dz? Give reason. 18. Is Im |f sa d = f.1se09| f(z) dz? f(z) dz| 19. Is
get the value of the following integrals where c is the circle (abs)z=3 2 dz e*"dz , donde C (z+, uientes: A) φ 2 dz e*"dz , donde C (z+, uientes: A) φ
25. Show that cos eº? dz = 2ni.sin 1. 2 Z the circle of radius 8 centered a
sin (z) cos3 (z) dz. y° cos (3y) dy. sin (z) cos3 (z) dz. y° cos (3y) dy.
12 Verify the invariance relation (do)" = d(o*) when ω=x dy dz and Tis the transformation 12 Verify the invariance relation (do)" = d(o*) when ω=x dy dz and Tis the transformation
Exercises aw the contours γ-[0, i], σ [0, l] + [1,1]. Evaluate re z dz re z dz Exercises aw the contours γ-[0, i], σ [0, l] + [1,1]. Evaluate re z dz re z dz
ne diagram below shows two squares. Express each difference as a single vector Show all intermediate steps (i.e. equivalent vectors that you need to use to solve for the difference) (6 marks: 1/1/2/2) d. AE ED a. DB-DE b. BE-BA c. AC-BD F E A 2. Copy each set of vectors and draw u-v. (4 marks: 1/2/1) a. b. C. No t 3 ne diagram below shows two squares. Express each difference as a single vector Show all intermediate steps...