b. Write the complex number Z = ((3+ m) + i)" in polar form

Q: Convert the complex number 2+i3 to polar form.

A: Given complex number: 2+i3   Since it is the form a + ib and the polar form of a + ib is r (cos θ +…

Q: Find the quotient z1/z2 of the complex numbers z1 = 2 - 2i and z2 = 1 - i. Leave answers in polar…

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Q: Q3/ convert cartesian complex number 3-9i into polar form

A: The given complex number is:3-9i To convert into the polar form.

Q: Find the polar form for the complex number -2-3i.

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Q: Find the polar form of the following complex numbers: (a.) z1 = 1+iv3, (b.) 22 = -2 + 2i, (с.) 23 —…

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Q: b. Write the complex number Z = (3+ m) + i)" in polar form

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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: Write the complex number -V3 + i in trigonometric (or polar form) with 0 < 0 < 2n.

A: Using z= r(cos theta +i sin theta)

Q: Express the complex number 2 + 2√3 i in polar (trigonometric) form.

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Q: 5+ V4 i Z = 5-6і

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

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

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Q: Graph the complex number, find its modulus and put the complex number in polar form with arguement Θ…

A: -1 - sqrt(3)/3 i = -1 - 0.577i (approx) This is similar as (-1,-0.577). Plotted it on graph.

Q: Plot the complex number z = 3 + 2i and find its absolute value.

A: Consider the provided complex number, z=3+2i Find its absolute value. The absolute value of a…

Q: I. Write 2 – 7i in polar coordinates on the complex plane.

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Q: Which of the following complex numbers is written in Polar form? a) z = 1 - j b) z = 1Z5 c) z =…

A: The polar form of a complex number is- z = r(cos θ+i sin θ)=reiθ

Q: Convert the complex number, z = 9cis(210∘)9cis(210∘) , from polar to rectangular form.

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Q: Write the complex number in polar form. a. z = -2 + 2i b. z = 8 - 15i

A: z=-2+2i z=8-15i

Q: Express the complex number z = 12 cis * in rectangular form a + bi.

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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: Simplify the complex number z and express it both in rectangular and polar (A) .form (3 + j6)(6+ j4)…

A: Now, we have to simplify the given complex number and express it in rectangular and polar form.  The…

Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: Given that z=3+j66+j42+j1j2+7+j10 express it In rectangular form and polar form

Q: 1. Plot the complex number on the complex plane and write it in polar form and in exponential form.…

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

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Q: Plot the complex number z = 2 + 5i and find its absolute value.

A: Given:z=2+5i

Q: 2) 1=13 and fano=

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Q: (3+ /3i) (-1-i)?

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Q: The polar form of a Complex Number is. .

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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…

Q: Plot the complex number in the complex plane, then write the number in polar form: Z=-1+iv3

A: The general form of a complex number is given by z=a+ib, where a,bare two real numbers and i=-1.…

Q: a. Convert complex number (−2 − 6 i) to the polar form and represent it graphically

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

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Q: Z is a complex number

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Q: - find polar form of the complex number z = (2√3-4i) + (-√3+51)..

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

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

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Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: To express: The complex number in rectangular and polar form. Given: The complex number is…

Q: Express the given Cartesian complex numbers in polar form. A. 2+J3 b. -4 c. -6+J

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Q: Rewrite the complex number 3e1.5 in a + bi form

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Q: Plot the complex number z = -4i in the complex plane.

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Q: T Convert the complex number, z = 4( cos| + i sin from polar to rectangular form. Enter your answer…

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Q: Express the following complex number in polar form. i. -3 - j4

A: Given that z= -3-4j , z=x+iy is cartesian form  then polar form is z=r(cosθ+isinθ) , where  z=x2+y2…

Q: Express the following complex numbers in polar form: (3+ /3i) (-1-i)² 2 i) z=(3 -i) ii) iii) 1-iV3

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Q: 1- V3 i 1+v-3

A: Given : Z = ( 1 - √3 i )/(1+√-3)

Q: Express the given complex number in polar form z=-5*square root of 3 - 5i)

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Q: Perform the given polar form into rectangular form complex number. 10 1+jv3 1-jv3,

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Q: Plot the complex number z = 2 + 3i in the complex plane.

A: Complex Line: z=2+3i2 + 3 i   in the complex plane would be  2  units to the right of the origin and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.