Find zw. Leave your answer in polar form. Зп Зл 2 z = 6| cos 2 w= 12| cos + i sin 5။ 6 O A. 72 cos 72cos O C. 36 cos + i sin T 3 T 6 5. 6 in၌ 3 + i sin + i sin Blo 6 ... T 72cos ံ 6 O) B. 72| cos + i sin T O D. 36 cos + i sin 3 a 6 T မက

Q: Calculate by changing to polar coordinates. а) О 3пе4 - 3п - b) 0-3пе-4 + 3 3п c) 0-6пе d) O e) ( Зп…

A: see below the answer and calculation

Q: Convert each of the given pair of rectangular coordinates to a pair of polar coordinates (r, theta)…

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Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

Q: Convert from rectangular to polar form. 5 - 5i 05/2 (cos 135° + i sin 135°) 05/2 (cos 315° + i sin…

A: The given number, 5-5i

Q: Find all the intersection points of polar equations r= √2 + sin(theta) and r= 3sin(theta)

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Q: TRUE OR FALSE. The polar equations r = cos 3θ -2 and r = 2-cos 3θ represent the same graph.

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Q: Express the following Cartesian coordinates in polar coordinates in two ways. (2,-2√3) Select all…

A: Given query is to find polar coordinates.

Q: Which of the following polar equations represents a cardiod or heart- shaped curve? r = 4 cos 20…

A: Here given polar equations  r= 4 cos 2θ ......(1) r= 3+3 cos θ .......(2), r= 2 cos 2θ .......(3) r=…

Q: Express the following in polar form): (iii) (cos 300° + i sin 30"). 2 i) sin 60° + i cos 60° (ii)…

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Q: Vector u has an initial point at (−5, 2) and a terminal point at (−7, 9). Which of the following…

A: The vector u has an initial point at -5, 2 and a terminal point at -7, 9. We have to find the…

Q: Use De Moivre's Theorem to solve for z and leave your answer in polar form with the angle in radians…

A: If z=rcosθ+isinθ then the nth root is zn=rncosθ+2πkn+isinθ+2πkn and if z=a+ib then r=a2+b2 and…

Q: 3. Evaluate and write the final answer in Polar Form (40 points) 8 8TT a. 3(cos5 + isin 4 V2(cos +…

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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: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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