Question

In: Advanced Math

Complex Variable Evaluate the following integrals: a) int_c (z^2/((z-3i)^2)) dz; c=lzl=5 b) int_c (1/((z^3)(z-4))) dz ;...

Complex Variable Evaluate the following integrals:

a) int_c (z^2/((z-3i)^2)) dz; c=lzl=5

b) int_c (1/((z^3)(z-4))) dz ; c= lzl =1

c) int_c (2(z^2)-z+1)/(((z-1)^2)(z+1)) dz ; c= lzl=3

(Details Please)

Solutions

Expert Solution


Related Solutions

Compute the length and absolute value of the following vectors: a. x = [2, 4, 7] b. y = [2, -4, 7] c. z = [5 + 3i, -3 + 4i, 2 - 7i]
Compute the length and absolute value of the following vectors:a. x = [2, 4, 7]b. y = [2, -4, 7]c. z = [5 + 3i, -3 + 4i, 2 - 7i]
Part I: Numerical Integration Evaluate the following integrals: i. ∫4(1−?−4?3 +2?5)?? 0 ii. ∫3(?2??)?? 0 a)...
Part I: Numerical Integration Evaluate the following integrals: i. ∫4(1−?−4?3 +2?5)?? 0 ii. ∫3(?2??)?? 0 a) Analytically b) Multiple application of Trapezoidal rule n = 4. c) Simpson’s 1/3 rule for n = 4. d) Simpson’s 1/3 and Simpson’s 3/8 rule for n = 5. e) Determine the true percent relative error.
23. Given a = 5, b = 4, c = 2, evaluate the following: a) a//c...
23. Given a = 5, b = 4, c = 2, evaluate the following: a) a//c b) a % b c) b **c d) b *= c 27. Given the following var_1 = 2.0 var_2 = "apple" var_3 = 'orange' var_4 = 4 Predict the output of the following statements or indicate that there would be an error. a) print (var_1) b) print (var_2) c) print ("var_3") d) print (var_1 / var_4) e) print (var_4 + var_3) f) print (var_2...
1) Find the following indefinite integrals.     a) (4-3xsec^2 x)/x dx     b) (5 sin^ 3...
1) Find the following indefinite integrals.     a) (4-3xsec^2 x)/x dx     b) (5 sin^ 3 x ) / (1+cosx)(1-cosx) dx 2) A particle starts from rest and moves along the x-axis from the origin at t = 0 with acceleration        a(t) =   6 - 2t (ms^-2) at time t. When and where will it come to rest.        Remember dvdt = acceleration and dsdt = velocity 3) Use substitution to find the following integrals.     a) (9x)/ sqrt...
What is the integral e^z/Z-1 dz where C is the circle|z| = 2?
What is the integral e^z/Z-1 dz where C is the circle|z| = 2?
1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2...
1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2 d. 17/13 2. Solve for x: 5(x+3) = 35 a. 2 b. 7 c. 4 d. -4 3. Acid rain occurs primarily as a result of a. operating a nuclear power plant b. burning coal or oil containing sulfur c. by-products created by operating an oil refinery d. the use of Freon and other refrigerants 4. The "ozone holes" at the polar region arise...
Direction ratio of line joining (2, 3, 4) and (−1, −2, 1), are: A. (−3, −5, −3) B. (−3, 1, −3) C. (−1, −5, −3) D. (−3, −5, 5)
Direction ratio of line joining (2, 3, 4) and (−1, −2, 1), are:A. (−3, −5, −3)B. (−3, 1, −3)C. (−1, −5, −3)D. (−3, −5, 5)
Evaluate the following integrals using trigonometric identities (a) intergal sin6 x cos3 x dx (b) Z...
Evaluate the following integrals using trigonometric identities (a) intergal sin6 x cos3 x dx (b) Z π/2 o cos5 x dx (c) Z sin3 ( √ x) √ x dx (d) Z tsin2 t dt (e) Z tan2 θ sec4 θ dθ (f) Z x sec x tan x dx
(15) Evaluate each of the following integrals. (a) Z cos(x) ln(sin(x)) dx (b) Z x arcsin(x...
(15) Evaluate each of the following integrals. (a) Z cos(x) ln(sin(x)) dx (b) Z x arcsin(x 2 ) dx (c) Z 1 0 ln(1 + x 2 ) dx (d) Z 1/4 0 arcsin(2x) dx (16) Use the table of integrals to evaluate the integrals, if needed. You may need to transform the integrand first. (a) Z cos(4t) cos(5t)dt (b) Z 1 cos3 (x) dx (c) Z 1 x 2 + 6x + 9 dx (d) Z 1 50 −...
A, B, C, D are all matricies A = 2x3 1 2 −3 −1 4 5...
A, B, C, D are all matricies A = 2x3 1 2 −3 −1 4 5 , B = 2x3 3 0 −1 1 2 1 , C = 2x2 2 5 1 2 , D = 3x3 1 −1 1 2 −1 2 4 −3 4 Find each of the following or explain why it does not exist. 1) A + B, 2) 2A − 3B, 3) A + C, 4) A − C, 5) AC, 6) CA, 7)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT