Express -2+j, 3+ j2, and 1-j2 in polar form and apply DeMoivre's Q6/ (1 – j2) (-2+ j)(3 + j2) theorem to evaluate Express the result in all forms.

Q: If z isa complex number satisfying|z-1=1. Then prove that z-2 = i tan {arg (z)} -itar

A: The given relation is: z-1=1 Here, let z = x + iy So, (x+iy)-1=1(x-1)+iy=1(x-1)2+y2=1(x-1)2+y2=1…

Q: a) Use Backward difference to find the Finite difference equation of the follow ди ди o'u -= C- xe…

A: We are given the equation ∂u∂t+a∂u∂x=c∂u2∂x2 , x∈ 0 , 1  , t≥0 Let us consider a grid of points in…

Q: Find in the form of red, the six complex numbers which satisfy the equation 2° +32+32( V3 )i = Hence…

A: Given:                       z6+32+323i=0 ....... (*) To find: Solution of (*) of the form reiα.…

Q: Q10\ Express -2+j, 3+ j2, and 1-j2 in polar form and apply DeMoivre's (1- j2) (-2+ j)(3+ j2)*…

A: The given complex numbers are -2+j,  3+j2,  1- j2

Q: 2. Show that z^2 is one-to-one in a domain D if and only if D is contained in a half-plane whose…

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Q: Express -2+j, 3+ j2, and 1-j2 in polar form and apply DeMoivre's Q6/ (1 – j2) theorem to evaluate 2+…

A: Any complex no. can be written in polar form as : →a+jb = a2+b2∠tan-1ba According to DeMoivre's…

Q: In 3+ j4/ 2-j4 express in polar form

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Q: Find all non - zero complex numbers z satisfying z =i z.

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Q: a> Lim az + b = 2-2 Complex Constant and sol": Let us a to. Now |az+b (az₁+b) | = |az_azo | = |a1|2…

A: We have to transcribe the following text in digit format.

Q: Suppose that a parametrization for the solution set to the equation Ax = b is -27 2 -3 + x2 -4 + x3…

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Q: 3) Write z = -√√2-√√2i in the polar form. Express zz-5i 2+i in the form a+bi where z=-1+3i and Z is…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Express 1-V3i in modules amplitude form

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Q: 2 Express (+) in polar form O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O 13…

A: Given complex no. is 5+i1-i2

Q: to (1-553)³ (1+5) 8 (-2+52) 4 use De Morvre's theorem Express เก polar form

A: Step 1: first is to divide r1/r2. Step 2: second is to find theta sub 1 minus theta sub 2. Step 3:…

Q: La) Emplain why is entive ? the function fcz) = 5z"-6+zcosz -ze

A: z=x+iy⇒5z4=5x+iy4=5(x4-6x2y2+y4)+5i(4x3y-4xy3) --->eqn(1)⇒xcosz=x cos(x+iy)=x(cosxcos hy-i sin x…

Q: Q3/ Express in Polar form for the following 2 - 1) z = (²+)*

A: First we reduce the term given inside square. Then we try to write it in Euler's form, i.e.,…

Q: Q10\ Express -2+ j, 3+ j2, and 1- j2 in polar form and apply DeMoivre's (1– j2)' (-2+ j)(3+ j2)*…

A: Cartesian coordinates (x,y) to polar (r,θ) can be converted by, r=x2+y2, θ=tan-1yx Use this formula…

Q: The complex number Z is defined as follows: Z = (1+√3i)5 Calculate z in polar form, where Z = |Z|…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.