(z] > 0, 0 < arg z <2π); al 2. Show that 71/4 z=-1 z+1 Log z = 1+i √2 л+2i (a) Res (b) Res = 8 1-i (c) Res = z=i (z² + 1)² 8√√2 z=i (z² + 1)² z1/2 (z > 0,0

Q: (log a)* d.x 1+x²

A: Given ∫0∞logx41+x2dx we can write the above as…

Q: J 2x³ + 3x² - 22x - 60 X2 - x - 12 dx

A:

Q: 2.1 Without using a calculator, rationalise the denominator and simpny. 3-J2 3+2 (3) 2.2 Solve for…

A:

Q: Let X be the matrix function cos( 2 1) sin (2t) sin (21) -cos( 21) X (t) = Determine if X is a…

A:

Q: The solutions of cosh(2x) = 8sinhx - 5 are a) x = ln (4+ √17) and x = ln (1 + in (1 + √2) b) x = ln…

A:

Q: express the given complex-valued function in the form u(x) +iv(x) for appropriate real-valued…

A: We express  the given complex-valued function x3i in the form u(x) +iv(x) for appropriate…

Q: Regula Falsi Method Example 4 - Find the real roo Max # of iterations = 10, Minir

A: Here, in the question we have to find the real root of f(x) = x3-x2-x-1 We have to take iterations…

Q: Additional Question 6.4 A* : Evaluate the definite integral of x²e*^2 on he interval [0, 0.5] by…

A: In this question, concept of Mclaurin Polynomial is applied. Mclaurin polynomial The Maclaurin…

Q: Evaluate. 2 0 √2x dx

A:

Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

A:

Q: Given Taylor polynomial is p„(x) = E}=1' (-1)j-1 UL -(x – 1)', compare log (x) and its -1 3. Taylor…

A: Given that The expansion for log x is,

Q: 2. [MO42] Evaluate the following (Express all answer in Rectangular Form): a. In cot(1 – 4i) C. z2 –…

A:

Q: 7. Compute: a) e³+ i b) sin(i) c) Log(1 + i)

A:

Q: 7х-1 dx х2—х-6 х-1 dr

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: Please assist with the

A:

Q: Find the Fourier integral representation of the function, "a²-x² if 0a f(x) =

A: Given that  fx =a2-x2if  0 &lt; x &lt; a0if   x &gt; a The Fourier integral of f(x) is given by…

Q: dx 43. 13 √√/(1+2x)² 45. ſªx√x² + a² dx (a> 0) 44. fª x√a² − x² dx - 46.77³x¹ sin x dx J-T/3

A:

Q: 3. Consider the statements below given that f(x)=2x-9 and g(x)=√x-4 g(x) 9 i) The graph of y= has a…

A: (f+g)(x) = f(x)+g(x) To find the vertical asymptote of a rational function, set the denominator is…

Q: p2 (x³ – 1)(x² + 1) What is the value of F(a) in the evaluation of the definite integral xp- -1 X-1

A: Perform integration

Q: - with x = 3s³t*√/u, y = 3³² csc(ut²), and Let w = 1 3 3 x³+y³+z³ z = ln(s√u + 2¹). Find w du *

A:

Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT Given the functions f(x) = √√x² - 1, g(x)…

A:

Q: 2 S√F (4- XN²3² dx 3/2 x) 3/2 2 1/2 = Sx²¹² (4- x²³²² 3²³ dx X" X 4/ 1/2 1/2 3x - 3/2 3 3/2 C4-x) +…

A: To determine whether the solution given by the student to evaluate the  integral is correct.

Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for…

Q: To evaluate: the integral function / sin tcos*t dt.

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Q22] A harmonic function; u (x, y) = ¿Log (2² + y²) is given. Show that the function is harmonic.…

A: Introduction: We know that for function z=u+iv, the functions u and v are harmonic functions if they…

Q: Find the indefinite integral (x² + 2x)e**+3x² dx ©^ ( = x² + x²) +²+3x² +C Bex³+3x²+C c. 1 D. e 13…

A:

Q: Question 3. Apply Laplace Transform to solve the following Integral Equation + 2√² e²-² x(t) = et +2…

A:

Q: Bisection Method Equation: f(x)= x³ + 2x²+x-1 Tolerance: x10-5 Assume a = 0; b = 3

A: We have to solve the given problem.