Given the complex numbers z = V2 + v2i, find the 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: Convert the complex number, z = 5cis(330°), from polar to rectangular form. %3D Enter your answer as…

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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: 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: Consider the complex numbers: z = 2 – i and w = 1+3i . Sketch (in the same diagram) 2, w, zw and z:

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

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Q: For the complex numbers w = 81cos 40° + i sin 40°2 and z = 21cos 10° + i sin 10°2, find each of the…

A: (a) part Consider the given complex numbers w=81cos 40°+i sin 40°z=21cos 10°+i sin 10° Since, the…

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Q: Convert the complex number from polar form to rectangular form, a+bi. 15.1 cos+i sin :) The…

A: Given,  The complex number  15.1cosπ4+isinπ4  We have to write it in rectangular form a+ib

Q: Convert the complex number, z=3cis(1/2 ⋅π) from polar to rectangular form. Enter your answer as a+bi

A: givenz=3cis(π2)orz=3(cosπ2+isinπ2)

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: Convert the given polar complex numbers into (a + jb) form giving answers correct to 4 significant…

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Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 3j D= -2 + 6j 2- Find…

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Q: 5+ V4 i Z = 5-6і

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Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ. 1 + i

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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: (as + isin I) 1.) Z = 12 %3D

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Q: Convert the complex number, z = 7cis(240°), from polar to rectangular form. Enter your answer as a +…

A: We have to find the value as  a+bi

Q: 8(cos(30°) + sin(30°)i) , from polar to rectangular form. Convert the complex number, z = Enter your…

A: Convert from polar to rectangular

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

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Q: Given a complex number w =. TM UTM UT iv3) by giving your answers in i. Express w in polar UT4 ii.…

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Q: i7(√3-i10) (2 - i5)

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

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Q: Make this compley number in polar Form: Z - 5 +V4 i 5-6i

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Q: Use the help of the polar representations of complex numbers to express (V2 + i)? in the form of a +…

A: Given, i=-1 2+i2

Q: Write the complex number z = (1+ v3 i)" in polar form: z = r(cos 0+ i sin 0) where

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Q: (a) Express the given complex number in to Polar Form (i) z= 1+ i

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

Q: (15) For the complex number z = ti find z2 by a) directly multiplying in the rectangular form given,…

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Q: Convert the given complex number form z = 4+7i into polar form

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Q: Convert the complex number from polar to rectangular form. z = 9 (cos(7pi/6)+i sin(7pi/6))

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Q: given the equation of a complex number as 6+81. find the equation in polar form

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Q: b) Given the complex number z = -V32 + V32i. i. Express z in polar form. Vz and sketch ii. Obtain…

A: ----------------------------------------------------- Given: z = -32 + 32iAim: To express 'z' in…

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

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Q: Convert the complex number from the given polar form to the rectangular form x+ yj. 9.00( cos 40.0°…

A: cos(40.0)° = 0.7660 sin(40.0)° = 0.6427

Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ.  √3−i

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Q: 2) 1=13 and fano=

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

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Q: Given the complex number w = 4(cos 110° + i sin 110°). Compute the following, leaving your answer in…

A: formula : if then Given :

Q: Use a scientific calculator or unit circle to convert the polar form of the complex number to its…

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Q: ) Find the Cartesian form (i.e. æ + jy where x, y E R) for the complex number 1 (2+ j)(1 – 2j)´ - )…

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Q: Given the complex numbers z1 = 20 (cos(52°) + i sin(52°)) and z2 = 5 (cos(39°)+i sin(39°)), find the…

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Q: Given the complex number z -1-V3i, find 2. Write an exact answer in polar form with 050<2.

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

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

A: Given: The given complex number is z=3+m+i4=7+i4. (given m=4)

Q: Express the given complex number in rectangular form into polar form. -5 – 5i3 ○ 5/2 [cos(플) +…

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Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ.  −1+√3i

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Q: In the polar form of a complex number,r(cos θ + i sin θ), r is called the__________ and θ is called…

A: Given:Polar form of complex numberrcosθ +i sinθ

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.