Find the product z1z2 and the quotient 1. Express your answers in polar form. 22 : 4(cos(프) +i sin(프)), z2 = 7(co() + i sin(=)) Z1 = Z1Z2 = 28i Z1 4i 2 7

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

A: The objective is to find z1z2 in polar form.

Q: 5. Convert the given functions into the desired coordinates. (a) 2x-5x³=1+xy into polar coordinates,…

A: Solution of this question is :

Q: Q3/ Find the Z1*Z2 and the Z1/Z2 and leave the answar in polar form. z= 12(cos 84° +i sin 84°) and…

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Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. z1 = 3(cos(250°) + i…

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

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Q: 12/2 Use polar coordinates to evaluate dydx. 3 0. (x² + y²)²

A: To convert cartesian coordinates to polar coordinates , put x=rcosθ, y=rsinθ , dydx=rdrdθ So,…

Q: Q.3) Use the polar coordinates to evaluate [ (a+ 20) dydz A)

A: Sketch the region and find range of variable in polar coordinates system.

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 z1z2 in polar form.  z1= 3(cos(pi/2)+ i sin(pi/2)) ; z2 = 9(cos(pi/4)+ i sin(pi/4))

A: z1=3cosπ2+isinπ2,  z2=9cosπ4+isinπ4

Q: find the product Z1 Z2 and the quotient Z1/Z2. Exress your answers in polar form.…

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A: Calculate the values using the given polar equation and complete the table.

Q: 10. Write –v2 + iv2 in polar form r(cos 8 +i sin 8) where r is exact and 0 so s 2n|

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Q: Qs) Find the result of the following: 1. (3-4)³=? (Put your result in polar form) 2. 0.602×(9/2) =?…

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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: Find the product z,z, and the quotient . Express your answers in polar form. z1 = V3 (cos(55°) + i…

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Q: 6. O Convert the quation aty z+y froui cartesian to polar (10 P.) (u) Convert the equation r - 2 sme…

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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: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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Q: 10.2.25 Express the following Cartesian coordinates in polar coordinates in two ways (6.-6V3) Select…

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Q: 4. Use the polar graph for the following */2 2n/3 3n/4 5n/6, 7n/6" 5a/4 71/4 4n/3 ŠR/3 3n/2 d)…

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Q: Find the product z1z2 and the quotient -. Express your answers in polar form. Z2 24 - + i si()), -…

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

A: Given query is to convert the expression in Polar form.

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

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Q: Find the product z,z, and the quotient . Express your answers in polar form. Z2 3 5x z1 = V5(cos() +…

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Q: If z = r cos 0 + ir sin 0 then 1 / z has absolute value __ and angle __ . Its polar form is __ .…

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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: find the quotient z1 / z2 in polar form where z1 and z2 are given below.  z = 24 [ cos ( 125° )] +…

A: We have to find polar form

Q: Find the product z1 · 2 in polar form, where z1 and z2 are given below. z1 = 5 (cos(20°) +i…

A: We have to find the product z1·z2 in polar form, where z1 and z2 are…

Q: 2. Express in true polar form, z 5(cos 55°-j sin 55°)

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Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. z = 4√3 -4i,  w = 8i

A: We have to find the polar form for zw, zw and 1z where z=43-4i and w=8i. First, we have to convert z…

Q: compute the length of the polar curve. r =√1 + sin 2θ for 0 ≤ θ ≤ π/4

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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: Find the product z1z2 and the quotient 2. Express your answers in polar form. 22 Z1 = V5( + i sin ),…

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Q: 1. Change Lxy dydx to polar form. V4-x2 Xy dydx to polar form.

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Q: Q 2. (a). Express z= 3+ V3i in polar form.

A: Answer (a) We know that if x=x+iy    z=r=x2+y2 ∅=tan-1 yx   x=r cos∅ and y= r sin∅the polar form of…

Q: Find the length L of the polar curve r = 6 sin for 0 < 0 <- 2 2 OL= 12 OL= 6 OL = 6/2 OL = 12 – 6/2

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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: 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: 44. The furthest point from the pole to the polar curve r = 2+ V2 sin 0 occurs when 0 = A. в о C 2

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Q: Find z,z2 in polar form. 21 = 2 (co여(플) +i sin(플)); 22 =4( cos +i

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Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.

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

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Q: Find the product z,z2 and the quotient 4. Express your answers in polar form. 22 + sin)), z2 -…

A: Given: z1=5cos5π3+isin5π3z2=95cos3π2+isin3π2

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 = 26r cos θ - 6r sin θ - 9…

A: We can make it easier by putting the value of x and y in the equation.

Q: find the prduct of Z1Z2 and the quotient of Z1/Z2. Express your answers in polar form.…

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Q: Find the product zĄz2 and the quotient 2. Express your answers in polar form. 22 21 = vz(cos() + i…

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Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. Z2 Z1 = (플) +i…

A: The Euler's theorem is cosθ+isinθ=eiθ.

Q: 3. CHOOSE ONE. Assume that r0. 5x (a) Transform the Cartesian equation = 5x – 5xy into a polar…

A: A)5x2x2+2y2=5x-5xy12x2+2y2=1-yx=r cosθ, y=r sinθx2+y2=r212r2=1-1(rsinθ)r sinθ=1-12r22r2-1=2r3…