find the pole and resuidue of 3z + 1 (z + 1)(2z – 1)

Q: 1- iz If z = x +iy and w =- z-i show that w = 1= zis purely real

A: Use modulus property

Q: Grplain why Ž diverges, 27 41 even though has a finite liniit 2 t 2

A:

Q: A Bezier curve is defined with 4 control points as bo {0,0}, b = {1,0}, b2 = {2,-2} and bz =…

A: Beizer curve 4 control points as b0=0, 0, b1=1, 0,b2=2, -2, b3 =-2, -2 convert this in the form of…

Q: nts A and B have symmetry with respect to the ) (9, 2) (х, у) %3D -) (0, 8) (x, y) =

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the singular value decomposition R= UEV• for the matriz 2 2 R=|3 4 4 5 5 6

A: We are given that R=1122344556. Now, RRT=247911481418227142532399183241501122395061. Now, finding…

Q: . Find Im(2z+4z-4i), in which ž is the conjugate of z.

A:

Q: 1. E is a triangle with vertices (1,0,0), (0, 3,0) and (0, 0, 2), with 8(x, y, z)=xz+1.

A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

Q: The conjugate z of z=x+iy is z=x-iy

A: 4) Conjugate of a complex number: The complex conjugate is obtained by changing the sign of the…

Q: Construct a clamped cubic spline passing through the points 9, 13 and 22 with fx=x3+1

A: f(x)=x3+1y0=f(9)=730y1=f(13)=2198y2=f(22)=10649 Here h0=4h1=9 For given set of points (x, y) that is…

Q: 2.2 Find upper bound of 2+4 (z - 3i)3 +1 where C is the circle |2 – 3i| = 4.

A:

Q: Find the conjugate of z = -2 – 4i, and compute zz. z = zz =

A: Given that: z=-2-4i

Q: Use the Wronskian and any needed theorems to show that f1 = sin x + 2x2 and f2 = e3x are linearly…

A:

Q: Questron Sec 5.3. %4 ( Lincar Algebra) in I ) Find the least square gystann : solutren to the gotenm…

A: We need to find the least square solution of the given system of linear equations. We have…

Q: nd the orthogonal trajectories of the family of confocal central conics given as: = 1 a² + à b² + à

A:

Q: DE : -t de dyx= 3et dt with indial conditins : xl0)=6 yl0)=1

A:

Q: Find дхду of z = In(x² – y) %3D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Save the following Sef of Lincay equations using over relaxoation 10X, +X2 + X3 12 X, + 10X2 + X3 =…

A: Rewrite the given system of equations, to find x1, x2 and x3. Multiply each right hand side…

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

A:

Q: Suppose that a parametrization for the solution set to the equation Ax = b is 3 + x2 + x3 8. -7…

A:

Q: i) Find an upper bound for the modulus 3z³ + 5z + 1, if |z|<1 where z is the complex number.

A: Now for the mod function: : a+b≤a+b. SO using the same method in the given complex function:…

Q: 4: verify that wy = Wyx . ریاضيات المرحلة الثانية a w = In (2r + 3y) %3D

A:

Q: 2.2 Find upper bound of 2+4 (z – 3i)³ + 1 where C is the circle |z – 3i| = 4.

A:

Q: Find the residues of each of the fellowing functièns at its. poles. e •f(z)- 22+3 4. ans : ri=7/4 ?…

A:

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A:

Q: Verify that (AB)" = BT AT %3D التحق ق 3 2 4 2 1 3 A = 2 1 B =1 2 5 4 2 3 0 2 1

A:

Q: Find the general equation f the plane passing through P(-!,3,-2) and having n(-2,1,-1) hormal. O so

A: The objective is to find the general equation of plane.

Q: Show that if, in using the Laplace development, you accidentally multiply the elements of one row by…

A: A 3×3 matrix a11a12a13a21a22a23a31a32a33.

Q: Prove that z'e'-z = 1 has exactly two roots inside the circle |z] = 1.

A:

Q: 2 1 Find a mat rix P such that P- 2 0 0 3 0 3 [11 O AP = 1 0 -1 0] BP = 1 1 1 1 OCP = 0 1 1 -1 ODP =…

A:

Q: TODlem 16. Find all solulons of the equation z- 5z +4 =0 1 and 4 -1,1,-2 and 2 o -1 and 1 -2 and 2 O…

A: The given fourth degree polynomial is converted into a quadratic equation by using the substitution…

Q: Write all essential submodule of Z 24 as Z-module.

A: (C) We know that a submodule E of M is essential if it has a non trivial intersection with every non…

Q: 7) If A = xz³i – 2x²yzj + 2yz*k, find VxA at the point (1,-1,1).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: I need help doing number 7

A: We start solving the given equations simultaneously.

Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

Q: Q[V2 ]is Principal Ideal Domain..

A: Q[√2] is Principal Ideal Domain. True.

Q: 18) (Section 9.7) Find the cross product in space u = 3i – 2 j+4k v=i-3j-k

A:

Q: find ou gene val solunion for on3 equanion: Ysin 2x -7cos X =0

A:

Q: 2 FIND THE PARAMETRIC AND SYMMETRI C EQUATIUNS OF THE 甥寮┤㈑┤㈑┤㈑┤㈑┤ PASSES THROUGH (2,8,10) THAT AND…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: 2. 22 – x2 1 By sketching the traces on the ry-, rz- and yz-plane a.

A:

Q: Find the cemplex fourth routs of Z: 2 J3-22

A: Given, z= 2√3-2i Therefore, r= √[(2√3)²+(2)²] r= √(12+4) r= 4 θ= tan-1(-2/2√3) θ= -30°

Q: Sketch the bode plots for the complex conjugate Zeros in a quadratic factor for the under damped…

A:

Q: Find ß so that {1, x, 1+ 6x²) on (-1,1) is orthogonal.

A:

Q: 2 1 c is a serond dimension complex veetor U and v are elements of c² u= (34 ;, 24 2;), V= (2t;,-2…

A: To find- Euclidean  norm.

Q: P2: Express the functron fcx)= 3x+2x) in terms of Legender poynomials,RG).

A:

Q: Use Superposition approach to find the genral solution of the following equation: у" — 2у' + 3у - -6…

A:

Q: Show a complete soluton 2 3 CO-10y 10sin x

A: Given: