2- j Q7\ Find the three cube roots of 1+ j2 in polar form. Express the principal root in Cartesian coordinates.

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: Q4/ Determine the fifth roots of 2– j5 in polar coordinates.

A:

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: (3+j5)^4/ (2+j6)^3 answer in polar form

A: first we need to obtain the standard cartesian form z = a+jb of given complex number then we will…

Q: Plot the point corresponding to, z =2(cos30ο +isin30ο ) in the complex plane, and write an…

A: z = 2(cos 30° + i sin 30°)

Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

Q: arctan (-7) express in polar form

A: We have to express the complex number with the argument θ=tan-1-7 in the polar form. First we have…

Q: What is Complex Plane?

A:

Q: Describe all solutions 2 -1 3 -4 2-6-2¹] of Ax = 0 in parametric vector form if 11

A:

Q: [(5+j3)( 10430°)] 6e^(j12)

A: Given: 5+j310∠30°6ej12 To do: Simplify the given complex number to the standard form.

Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

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: present given complex number in polar form also find its (1+21) ¹2 (-2-√5i)"

A:

Q: Describe all solutions of Ax = b, where [2-5 3] A= -2 6-5 and b = -4 7 0 2 19 Describe the general…

A:

Q: z= 6+(6root3)i a) z in polar form? b) find the complex number z^9

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Q: List all solutions in polar form of the equation x^5 = 3 in the complex numbers.

A:

Q: Let the b and c randomly chosen numbers from interval [-A,A]. Determine the probability that the…

A: It is given that  and  are randomly chosen number on the interval The quadratic equation is

Q: Write cartesian equation x^2-y^2=1 in polar form

A: Given,

Q: Write -4+5i in polar form. Express in degrees.

A: z=−4+5iUsing polar coordinatesx=rcos⁡θy=rsin⁡θx2+y2=r2

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

A:

Q: SKetch the Cuove in the Complex Plane given by 12-3) = 1z+31| %3D

A: The detailed solution is as follows below:

Q: Find all the roots of f (2) = (-5+ j4) z² + (3 – j5) z + 4 + j3 For all computed DECIMAL values that…

A: Given: fz=-5+j4z2+3-j5z+4+j3 To find: Roots of fz.

Q: Express in the form of a complex number a + b i.i / (1 -i)

A:

Q: An engineer wants to determine the distance d of the two complex number in the complex coordinate…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.