Find z1z2 in polar form. 21 = 3 cos +i sin 22 = 4 +i sin ((늘)에

Q: 2. (3+j4)(6+)7) convert to polar form (Az0) Hint: x = en(x)

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Q: Please Write down the solution clearly.

A: The complex form is , z=2cos2π4+isin2π4. To convert into polar form,  z=reiθ. In the given complex…

Q: Find the quotient z1/z2 in polar form. z1= 12 cis (5pi/3) z2= 4 cis (pi/3)

A: Given complex numbers are z1=12cos 5π3+i sin5π3z2=4cos π3+i sinπ3

Q: Find the quotient in polar form, where z1 and z2 are given below. z1 = 30 cis 129° z2 = 5 cis 102°…

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Q: Find zw or as specified. Leave your answer in polar form. z 5(cos 35° +i sin 35) w 2cos 40°+i sin…

A: Here is the solution:

Q: 2. Given z (22 + m) + 4i and 2= -6 - (8 + n)i. Find w and write it in polar form

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Q: The polar form Z = 2V3- 2i is Z = 4(cos + isin- 11m O true

A: The given complex form is Z=23-2i

Q: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

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Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: 14. Restate -4x = -5y in polar form. Present your answer solved for r.

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Q: Given z= -5 - 8i, what is z in Polar form?.

A: The polar form of a complex number a+bi is reiθ, where r=a2+b2, tanθ=ba. Calculate the modulus of…

Q: Perform the indicated operation and convert your final answer to polar form z = r(cos0 + isin®) 1.)®…

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Q: snip

A: (a) z=3cos20°+isin20°w=5cos100°+isin100° Then we get,…

Q: Given z1 = 4 cos I isin and z2 = 2 cos I isin find z1z2 and 3 3 write the product in polar form.

A: Given: z1=4cos 4π3+i sin4π3  z2=2cos π2+i sinπ2   To find z1z2

Q: Perform the indicated operation and convert your final answer to polar form z =r(cos0 + isin®) 3.)…

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Q: It is true that i 8 It is true that 1+i in the polar form is 4/2cis(- )

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Q: 2. Represent z = 3 – 3i in polar form.

A: As we know that; The polar form for the complex number z=x+iy is: z=rcosθ+isinθ  .....(1) Where;…

Q: Find zw and Leave your answers in polar form. W Z = 2( cos 130° + i sin 130°) W = 4(cos 290° + i sin…

A: We will use the…

Q: Find  z1/z2  in polar form z1 = 21cis{135 degrees}             z2= 3cis{75 degrees}

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Q: et z -4-i and w = i be given. Find zw and in the cartesian form ,if possible, by using he polar…

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: 5. If z = 2(cos 25° +j sin 25°), find z in polar form.

A: It is simple calculation in polar form

Q: Express z 13+ V3i in polar form. Find the value of z if e =1.

A: Complex number in polar coordinate is given as:  z=reiθWhere r=x2+y2   θ=tan-1yx Given complex…

Q: Select the correct answer from each drop-down menu. 2+y2=25 is written in polar form as e = 225° is…

A: see below the answer and calculation

Q: (4, − 19π/12)   plot the point with the given polar coordinates

A: The given point is 4,−19π12. The general form of the polar coordinate is r,θ where, r is the…

Q: Divide. 6√5cis (11) + 3√6cis (5) Drag a value into each box to correctly express the quotient in…

A: Given the query is to find the value of the expression.

Q: - (Convert to polar form: z = -2+2/i

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Q: If z1 = 1 + 3j , and Z2 = 2 – j , which of the following options shows the product Z1 Z2 in polar…

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Q: (a) Convert 6 + 2i to polar form.   (b) Express 5 cis 30° in the form a + bi. Give an exact answer.

A: The complex number x+iy is represented in polar form, r cis(θ). Such that,

Q: (4Z30°)² 3. - (6 – 4i)². Express your answer in polar form. - (2cis60°)³

A: Given that: (4∠30°)2(2cis60°)3-(6-4i)2

Q: 12. Which of the following corresponds to the poin (-4, 2pi/3) in polar coordinates in Cartesian…

A: Relationship between polar coordinates system and Cartesian coordinate system is:  x= rcos(theta) y=…

Q: Reduce the following to polar form. (3– j4)(10|40°) 6+30 53.13° (6+ js)+-

A: By using polar to complex and complex to polar form we can reduce the expression to polar form

Q: 2(V3 – i) (1 + 1)?

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Q: 9. 1.7e1.2-/2.5 into polar form Ans.

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

Q: 6) Perform the indicated operations. Leave the resul in polar form. [50(cos 236° + j sin…

A: Given, 50cos236°+jsin236°2cos84°+jsin84°125cos47°+jsin47°

Q: Find zw and W Leave your answers in polar form. - TC TO Z= 6 cos + i sin 11 11 TO W = 6| cos COS + i…

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: Express in true polar form, z = 5(cos 55° -j sin 55°)

A: We have to express in true polar form z=5cos55°-jsin55°.

Q: Find z1 · 22 in polar form. 2cis(50°) , z2 = 5cis(300°) 21· 22 = cis(

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Q: Find zw. Leave your answer in polar form. z = 10( cos 30° + i sin 30°) w = 5( cos 10° + i sin 10°)

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Q: Find in polar form: Z2 Z1 = 21cis (135°) Z₂ = 3cis (75⁰) Z2

A: Given;  z1=21 cis(135) z2=3 cis(75).

Q: Express in polar form esin(-1+V3i). What are its arguments?

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Q: Find the product z1 z2, expressed in polar form, if: 2; = cos +isin 2 co0 + isin = cos 12 12

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Q: Convert the rectangular equation 2x - 4y = 5 into polar form. 1 O r = 2 cos 0-4 sin 0 5 Or 2 sin 0-4…

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Q: 3 Find z' in polar form. 4[cos(25°) + i · sin(25°)] 23 cis( %3|

A: Polar form of a complex number

Q: Write  z1 and z2  in polar form. z1 = 7 + 7i,  z2 = 16

A: We need to convert the complex numbers into polar form.

Q: 1. Express in polar form, z =-4 + j2.

A: Since not a particular question asked as per guidelines solution to only first question(i.e Q1) is…

Q: What is the polar form of equation z = 18 + 8j O z = 2.83 z 315° O z = 19.7 z 23.96° O z = 23.96…

A: Polar form of the complex number

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.