1 2 4 Evaluate Σ Σ (2i + i=0= 0
(5) Use Cauchy Integral Formula to calculateh(2+(i+1), ee is whose vertices are 0, 4, 2- 2i, and -2i. oriented counterclockwise. Assume a suitable branch of (z +4i) c (2+ I)2 + i dz where C is the paralle 5)
n find I (using mesh analysis) Į - lojn 2016 v ojn 2 long Iy=1.5 I
U Question 6 1 pts 1 -1 1 The inverse of the matrix-1 -1 į -1 0 is - 10 1. Use this 1 a-b+c=2 inverse to solve the system of equations-a-b+c=-1 a+b+c= 5 ° (, -5, 2) o(-1, 2, 0) O 3 4' No 3 23 3 23
The current in a 200 mH inductor is į = 75 mA, t = 0; i = (B1 cos 200t + B2 sin 200t) e -50t A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 23 ms. Express your answer to three significant figures and include the appropriate units. MÅ ? p =...
For the cash flows shown, find the future worth in year 7 at į = 3% per year? (G is decreasing and equal to $200) Solve it in Excel, upload your excel files and formula AF = ? i = 3% 4 0 1 2 3 5 6 7 17000
Which of the following series are conditionally convergent? o - no (1) E(-1, (u) į(-1)" VA n= 4 n2+1 (1), (11), and (iii) (i) and (III) only (i) and (ii) only (11) only (1) only (i) and (ill) only (iii) only
15) The acceleration at t 0 for r(t) - t2i + (8t3 - 2)j +N16-2tk 1 A) a(0) 2i - 1 B) a(0)= 2i+ -k 64 k 128 1 C) a(0)= 2i- -21-1k k 64 D) a (0) 2i 4 15) The acceleration at t 0 for r(t) - t2i + (8t3 - 2)j +N16-2tk 1 A) a(0) 2i - 1 B) a(0)= 2i+ -k 64 k 128 1 C) a(0)= 2i- -21-1k k 64 D) a (0) 2i 4
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(a) Find the bilinear transformation that maps the point (0), (1), (i) into the point (1+i), (-i), (2-1). (b) Show that the function sinhz is an analytic function. 42-3 Where C is the circle such that Evaluate the integral Sc(2-2) (1) C:Z1 = 1 (2) C:[Z= 1 (3) C:Z) = 3 200