3z² +1 z³ (z²+2iz+1) The pole of the function a) z=-2 with multiplicity 6 b) z=-2 with multiplicity 3 c) z = 2 with multiplicity 2 d) z = 2 with multiplicity 1 and its multiplicity is

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Describe the set of points in the complex plane satisfies Z? + Z2

A: Introduction: The sum of a real and an imaginary number is a complex number. A complex number is…

Q: Let w = Reai be any nonzero complex number. Then w has n nth roots: n solutions to the equation z" =…

A: Let us find the roots of given complex number.

Q: 10 2) z = (-j)()

A: We have to use De Moivre's theorem cosθ+jsinθn=cosnθ+jsinnθ and Eular form of complex number…

Q: Sketch the in the Complex Plane curve given by /z-3) - 1z+3i/

A:

Q: a) Show that if you have a complex number z, then Re(z) = (z+z*)/2. Now show that Im(z) =…

A: Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: find the indicated power using De Moivre's Theorem:  1.) ((square root of 3)-i)6 2.)(1-i)10…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question…

Q: Ifz₁, Z2, Z3 are complex numbers such that (2/z₁)=(1/z₂)+(1/z3), then show that the points…

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Q: In Z3×U3, Find the order of (1, 2). Show your work.

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Q: graph each points on the complex plane

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Q: 21-5 1. a) Convert the complex number to the form a + bi. 1-3i 1. b) P(x) = x* – 3x' +5x² - 2 What…

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Q: In the a Parattelagam Mg Ac (2X +35) 5x-22" FLnd The Vatve accompanyıng fyure (ABCD is nd nfC= of X…

A: We know that opposite angles of a parallelogram are equal

Q: Q1) Find modZ and ArgZ for the complex numbers given below: 1+i√2 1-i√2 2 2+i a) Z= b) Z= +2-i

A:

Q: My question is, A family of quartic functions have zeros of 3 (degree 2), 5/4 and -3/2. a) Write the…

A: (A) It is given that the quadratic equation has zeros  of 3 (degree 2), 54,-32. That is, the…

Q: #4. (a) Let fiz) = Log (z +1) ~ Log (2-1), Find flz), f(-2), f(i). (b) let g(z) = ziti, find g(i).

A: 4.(a) f(z) = Log(z + 1) - Log(z - 1)         => f(2) = Log(2 + 1) - Log(2 - 1)…

Q: Determine Re(z) if z = 1145x-6512yi   Sucject: complex numbers

A: We have a complex number, z = 1145x - 6512yi We know that, In a complex number  z = a + bi  , a  is…

Q: The set of all complex numbers is denoted by C={x+iy:x,y€R}

A: A complex number is the combination of real and imaginary number in the form of x+iy , x, y are real…

Q: Q3) Find complex root of the z³ = -27, k = 0,1

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Q: (10c + d)° (5b - 5c)° (2d + 6e)° (a + 30)° (a + 2b)° (4f + 4e)° 60°

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Q: Let 2₁, 22, 23 be three complex numbers and a, b, c be real numbers not all zero, such that a+b+c=0…

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Q: 11) Determine the equation of the line parallel to y - 57 = -4(x + 58) that contains the point (95,…

A: Question number 11,Given,        The equation of the line parallel to y-57=-4x+58 that contains the…

Q: 3) Find all the roots of the following equations z = √1-i 14 b) c) Z - i z = z = 964

A: a)

Q: The set of all complex number z in the complex plane satisfying Im(z^2)=2 is a a. straight line b.…

A: The set of all complex numbers z in the complex plane is satisfying

Q: Find the SUM of all the complex zeros of f(x)= x3 + 3x2 + 7x + 10 a.) -1  b.) -2  c.) -3  d.) 0  e.)…

A: It is given that

Q: Q3) find the direction of A= 4i + 3/ + 12K (1) point

A: From the given problem:   A=4i+3j+12k   As we know that the direction of the vector is:   n^=A→A…

Q: iii) How are the complex numbers z1 and zz related if arg(z1) = arg(z2)? Buildup examples for this…

A: Given: z1,z2 are two complex numbers such that argz1=argz2, To find: The relation between z1 and z2,…

Q: i) Find real and imaginary part of complex number (V3 + i)° by using De Moivre's Theorem.

A: Consider the complex number: 3+i3 Comparing the complex number 3+i with standard form of complex…

Q: 1 30 (A) = 2 -2 4 3 50 a) Find the minor of the element 5 and 0? b) Find the cofactor of the element…

A: To find the minor and cofactor of element  0 and 5 .

Q: Find the imaginary part of 23t where z = x+ iy (the denominator is the conjugate

A: The conjugate of z will be x-iy

Q: Describe the set of points z in the complex plane that satisfy the equation |Re (1 + iz)| = 3. show…

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Q: Plot the complex numbers 6-i and -5+3/ in the complex plane. EXHIMINERINGE -S 7 -5 -5 -4 -3 -2 -1…

A: We are required to: Plot the complex numbers 6-i and -5+3i in the complex plane.

Q: 6) Making use of the tables for the field Fs in exercise 5, find the solution to the linear equation…

A: 6. we have to solve the linear equation 3x+2=4, where the coefficients of this equation are…