Find a motion that moves the line x + 2y = 3 to the y-axis and point (1,1) to the origin. Give the answer in the complex form.

Q: Identify the surfaces of the following equations by converting them into quations in the Cartesian…

A: To identify the quadratic surface of the equation: Given: The equation of the surface is r=z2-1.…

Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: Plot the following complex numbers z = 6 – 3i and w = 2 + 5i and find the midpoint of the line…

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Q: plot the point in the complex plane using rectangular coordinates -5 + 4i

A: To plot the point of complex number -5+4i in the complex plane

Q: . Write the equation into the standard form of the equation of the parabola: x2 + 4x – 4y = 0.…

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Q: Find the value of x and y in the following complex equation: 1 1 = 1 1 + 2i x + iy

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Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: Given: z2=4+4r2 ρ=sinϕsinθ To find: The corresponding surfaces of the given equations by…

Q: y = 2x + x2 =1

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Q: Plot the number 1 + 2i on the complex plane.

A: 1+2i has the real part 1 and imaginary part 2. As the x-axis represents the real part and the y-axis…

Q: Find all complex roots of the equation z6+z5+z4+z3+z2+z+1=0.

A: The given equation is z6+z5+z4+z3+z2+z+1=0    .....(1) We know that  z7-1=(z-1)(z6+z5+z4+z3+z2+z+1)…

Q: d) In() %3D (2n +3) пi, n € Z

A: ln(i)=2n+12πi, n∈ℤ      i=0+1i=1·eiπ2       =1·eiπ2+2πn       for n∈ℤ Since,          |i|=1 and…

Q: Q? find the value of the complex number and write it in the polar form. V32(i – 1)

A: Given complex number is                                                                     32(i-1)5…

Q: The complex number Z1and Z2 are given by, Z1 = 3 – 5i and Z2 = -1+ 4i Determine: 2Z1 +5Z2

A: We have to determine 2Z1+5Z2 for the given complex numbers: Z1=3-5i and Z2=-1+4i Finding 2Z1:…

Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: Solve the equation z + z=0,where z is a complex number.

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Q: Find the complex number z that satisfies 3z + 5z = |2|2 + 8i.

A: The given problem is to find the complex number which satisfies the given complex function, We have…

Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1, 1) to the origin. Give the…

A: To find a motion that moves the line x+2y=3 to the y-axis and the point 1,1 to the origin i.e.0,0.…

Q: The negative complex roots for the quartic equation x* +x² –1=0 are: 1-5 b. i + a. ti 2 c. ti 2 |1+…

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Q: In the complex plane, the vertical axis is the ________ axis.

A: In a complex plane we denote z=x+iy here x be the real number and y be the imaginary number

Q: bz+ bz=c, b0, be a line in the complex plane, w the reflection of the point through the line then

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Q: Find the Real and Imaginary Part of 1+sqrt(3i) and plot it in the complex plane

A: Complex number of form z = x+yi Where, x is real part and y is imaginary part

Q: Find the complex conjugate z, of z1 = -4i + 4. ž =

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Q: Plot z = -2 - 2i in the complex plane. Then write z in polar form.

A: Given: z=-2-2i we know that given complex number be draw on complex plane as below

Q: Write the complex number z= 5(cos+i sin) in its rectangular form and then plot it in the complex…

A: Given complex number, z=5cosπ3+i sinπ3 To find its rectangular form.

Q: Let z, and z2 be two complex roots of the equation z2 + az + b = 0. Assume that the Origin, z1, and…

A: Given  Let z₁ and z₂ be two complex roots of the equation                  z² + az + b = 0. Assume…

Q: Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form.…

A: xy-1 = 0  xy = 1  So we write this is xy = 12 Or      xy = c2 Now to eliminate the term xy from…

Q: | 42² - ² = 4

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Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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Q: Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2…

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Q: 1. " Identify the surfaces of the following equations by converting them into equations in the…

A: As per the company guidelines i am solving first question please resubmit the question for another…

Q: Find all Complex Yoots @ Z^_Z 20 +32i=0

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Q: The real part of the complex number z = (2+2i)² + e¹+2i is

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Q: 2) 1=13 and fano=

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Q: (a) Find all roots of the quintic equation, in the complex plane and plot them. 25 -1 = 0,

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Q: Find the complex number 1, where z, = 3-2.j, z, = 1+4j. Za

A: We need to find the Complex number z1/z2 where z1=3-2j and z2=1+4j.

Q: Find the value of y in the complex equation (2x-3yi(3 + 4i) 78-21i O5 -3 03 -4

A: Given, (2x-3yi)(3+4i)=78-21i Expanding the LHS⇒ (2x-3yi)(3+4i)=6x+8xi-9yi-12yi2…

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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Q: A straight line of equation y= mx+c is represented by Iz+3|= Iz+jl where z is a complex number.…

A: We know that z=x+jy and z = x2+y2 Consider z+3 = z+jx+jy+3 = x+jy+j(x+3)+jy = x+(y+1)j(x+3)2+y2 =…

Q: Ecample 12: Show that the equation of a straight line in the Argand plane can be put in e form zb +…

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Q: Show the 2 points that satisfy the equation in the complex pione. i) | 2 - 11 = 2.12 +1|

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Q: 6) Use the process of completing the square to transform the General Form equation below into…

A: Given,  x2+y2−10x−16y+53=0Concept used:x2−2ax+a2=x−a2

Q: Calculate these complex numbers and express your results in rectangular form: 15/45 (a) + j2 3- j4…

A: To find: Calculate these complex numbers and express your results in rectangular form: 15∠45°3 - j4…

Q: The reciprocal of a complex number x+jy is

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Q: Find the cube root of -8i lying in the fourth quadrant of complex plan. إختر أحد الخيارات: 1- V3i 1+…

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Q: Find all values of the following roots and plot them in the complex plane. V32. V-1

A: Given:  -15=-115Formula: -1=cis(2k+1)π=ei (2k+1)π  for k=0,1,...,n-1

Q: d graph in complex plane the fo V3 – 10i 1 V3+5i

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Q: Find all complex number solutions to the equation x^y =y^x , where x and y are both nonzero.

A: We need to find all complex number solutions to the equation xy=yx, where x and y are both nonzero.…

Q: Q2- The complex number z satisfies the equation 4Z-32 Then ........ .............

A: