Given the point (-3, 8)on the complex plane: A. Sketch this point on the complex plane. Label the point and the axes. B. Write the complex number in standard form. C. Write the complex number in trigonometric form. Use the exact modulus value and angle in degrees rounded to nearest 10th.

Q: Q2/ Write the complex number 5(cos+i sin) in its rectangular form and then plot it in the complex…

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Q: Write the complex number 0.6(cos 100° + i sin 100°)in rectangular form. If necessary, round to the…

A: The given complex number is 0.6cos100°+isin100°.

Q: perform the indicated operations and express the answer in the standard form of a complex number. (3…

A: Given expression: z=3+4i2i The standard form of a complex number is Z=a+bi.

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: AABC is an equilateral triangle in the Argand diagram where A represents the complex number i and…

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Q: Plot each number in the complex plane. A: 5i B: 2+4i C: -3 D; 1-3i E: -5-2i

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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: Graph the complex numbers in the complex plane. a. 3 + 4i b. 4 – 2i c. -5 d. -2i

A: Given,

Q: Find the radius  and angle of each complex number.  Z=4-3i Z=2+3i Z=3 Z=1+i Z=8+i

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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: In the complex plane, the complex number a is identified by the vector OA. Find the midpoint of the…

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Q: Write the complex number 8(cos 60° + i sin 60°)in rectangular form. If necessary, round to the…

A: 8cos60°+isin60°

Q: To convert a complex number from rectangular form,z = a + bi, to polar form, z = r(cos θ + i sin…

A: The rectangular form of a complex number is z=a+ib the polar form is z=rcosθ+isinθ

Q: Write the complex number 6(cos 30° + i sin 30°) in rectangular form. If necessary, round to the…

A: Given:  6cos30°+isin30°sin30°=12cos30°=32

Q: Find all the roots of the following complex numbers and sketch them on the Argand plane (-v3 – 1)/

A: Let  z=(-3-j)3/4 ⇒z=(-3-j)314…

Q: Given two complex numbers z 3-3j, and w =1+7j, %3D which of the following options equals ?

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Q: Given a complex number a + bi, the value of a is called the _____ part and the value of b is called…

A: The given number is a+bi To identify a and b

Q: What does |w_1|= ?and what does |w_2|=?

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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: Precalculus hw help. 21 and 22. A, b and c. Thank you.

A: Hi there, at a time we can answer only one question. So I have answered first question.

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: Given the complex numbers (1 +10i) and (a + 4i). Determine the value of a if the midpoint between…

A: NOTE: Refresh your page if you can't see any equations. . two points are the midpoint is given by

Q: Find the distance between the complex numbers in the complex plane. -5 + i, -4 + 5i

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Q: The magnitude of the complex number esin(teta)+jcos(teta) is

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Q: Given a complex number z = 4+ 5i, determine the real and imaginary part of z. %3D Real = Imaginary =

A: Solving the problem by finding the real and imaginary part.

Q: find the square of the complex number 2 -2i and write the answer in a form a + bi where as a and b…

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Q: 2. Identify the conjugate of each complex number, then plot both complex numbers and their…

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Q: Find the complex fourth roots of 1 + i. Write roots in rectangular form. If necessary, round to the…

A: The given complex number is 1+i. Obtain the fourth roots of the above complex number as follows.…

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

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Q: Take the last four digits ABCD of your student identification number, and let z1 = A + Bi and z2 = C…

A: We will be taking the last 4 digits as ABCD. Let z1 = A + Bi and z2 = C + Di be the corresponding…

Q: Given the complex number z such that z-4i = a+3zi , find the value of a if z is purely imaginary.

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Q: Write the complex number 20(cos 205° + i sin 205°) in rectangular form. If necessary, round to the…

A: Our Aim is to write the complex number 20[cos(205°)  + i sin(205° )] -(i)in rectangular form.

Q: By plotting the points on a scratch piece of graph paper, determine which complex number has the…

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Q: First simplify each of the following numbers to the r + iy form or to the reº form. Then plot the…

A: The given expression is 3+i2+i. Simplify the expression as follows:…

Q: Which point represents the complex number -3+2i? 4i 31 A 2 -2i D 31 6. 4. 우

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Q: Name the complex number represented on the complex plane: 斗

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

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 indicated roots, and graph the roots in the complex plane. The fourth of 4-4/3i

A: Find the indicated roots, and graph the roots in the complex plane. The fourth of 4 - 4√3i

Q: Which complex number labeled in the complex plane below is the plot of the complex number –4 – i?…

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Q: Write the complex number 4(cos 240° + i sin 240°) in rectangular form. If necessary, round to the…

A: Given: 4(cos 240°+i sin 240°) can be expressed in the Euler's…

Q: Write the complex number 12(cos 60° + i sin 60°) in rectangular form. If necessary, round to the…

A: Given:12cos 60° + i sin60°

Q: Draw the complex plane and plot the following points: a) 2 − 3i; b) 1.33i; c) 0.5 + 0.25i; d) −π − i

A: A complex plane is one that has real values on the x-axis and imaginary values on the y-axis. Now,…

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: Given the complex numbers z = V2 + v2i, find the polar form.

A: We have to write the polar form.

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.