Skill Practice 5 Given z1 = 31 cos 12 + isin and Z2 = 2 cos + isin- find z1z2 and write the product in polar form.

Q: Write polar form of z=-2 -i |

A: Given that the complex number is z=-2-i. It is known that the polar form of the complex number is of…

Q: Test r = 2sin θ for symmetry and then graph the polar equation.

A: Given  The polar equation r = 2sin θ.

Q: QI If you know that Z = 4 + 2i and X = -2V3-6i Perform the indicated operation and write your answer…

A: Note: According to Bartleby we have to answer only the first three subparts of the question please…

Q: -1+i/3 i. Write the expression in a polar form? 1+i/3

A: Definition used  -             The polar form of a complex number z=a+bi is z=r(cosθ+isinθ)…

Q: Test for symmetry and then graph polar equation r = 4 cos 3θ.

A: Given polar equation:                                     r = 4cos3θ

Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. * = 2/3 – 2i, w…

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Q: (a) (1+i√3)2/5 (find all values; write answer in polar form)

A: According to the guidelines I am answering only first question at a time. Kindly reupload and ask to…

Q: Pepresal in polar form -4-4i

A: Given that  -4-4i  Convert into the polar form

Q: Test r = 2 cos 2θ for symmetry with respect to a) the polar axis. b) the line θ= π/2  c) the pole.

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Q: Convert to polar form. x2 + y² = 4 Need Help? Read It

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Q: Identify and draw the conic r(2 – 2 sin 0 ) = 8. %3D

A: We have to solve given problem:

Q: Use a graphing utility to convince yourself that the polar equations r = f1(θ) = 2 cos θ − 1 and r =…

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Q: la. Convert complex num ber 2=| to a pPokr form 2ニr(6s0+i.sine) b.use a polar form of the number and…

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Q: Rewrite the polar equation r = - 8 cos(0) as a Cartesian equation. %3D Draw the graph below. 7t -5…

A: We know that the cartesian equation is  x2+y2=r2

Q: Convert each equation between Polar and Rectangular forms. A. Rectangular Form is: y = 3 B. Polar…

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Q: Use a graphing utility to graph the polar equation. r = 1 + cos(0)

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Q: How to get the center of r = 6sinθ in polar coordinates. Need detailed explanation.

A: We have to find the centre of r= 6sinθ.

Q: 20 Drag each pair of coordinates to the correct location on the image. Match each pair of polar…

A: topic - polar coordinate system

Q: Simplify. Write your answer in rectangular form when rectangular form is given and in polar form…

A: Answer

Q: est for symmetry with respect to the line  θ = π/2,  the polar axis, and the pole. (Select all that…

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Q: Use a graphing utility to graph the polar equation r = cos 5θ/2

A: we have to graph the polar equation whose equation is   r = cos 5θ/2 we have to use a graphing…

Q: PART CHALLENGE Convert the equations below from polar to rectangular. rcos(0) sin(e) 2 1. r 3 2. r =…

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Q: Skill Practice 6 Given z1 18(cos 75° + isin 75°) and 72 = 2(cos 255° + isin255°), find and write the…

A: Division of the given complex numbers helps to find the quotient of the numbers. The complex number…

Q: ph each polar equation given below. (a) r sin 0= - 3 (b) r=2 Part (a) 2n to Part (b) 4 十 6. 6. 6. 4…

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Q: \text { Sketch the conic } r=\frac{12}{2+4 \sin \theta}

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Q: Multiply the two polar numbers, writing your final answer in rectangular a+ bi form. cis cis

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Q: Find zw. Leave your answer in polar form. z=10 (cos 30 degrees + i sin 30 degrees) w= 5 (cos 1o…

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Q: Find the rectangular equation that represents the graph of the polar equation r = -2 cos . %3D

A: Given the equation:

Q: -Find the intercepts, the symmetry for the polar equation r = cos20 anc draw it.

A: A polar coordinate is represented as r, θ, where the length such that r=x2+y2 and θ is the angle…

Q: Plot the point that has the given polar coordinates. 3. (5. - ) (5.- /2 z/2 /2 /2 -6 Need Help?…

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Q: Write (1 + i)5 in standard form a + bi First we have to change (1 + i) to polar form = V1² + 1² = v2…

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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: Simplify. Write your answer in rectangular form when rectangular form is given and in polar form…

A: Given:   a)  26cos270+isin270 ·5cod225+isin225b)  322-3i22+2i3

Q: Example 1b In polar form, write out řAB A 2.5 m В C D X. 2 m -1.5 m

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Q: Convert to a rectangular equation. r-9 cos 0 = 4 sin 0 The rectangular representation for the given…

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Q: Multiply the two polar numbers, writing your final answer in rectangular a+ bi form. cis 7 cis

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Q: convert from polar to rectangular form a. r^2 = 2sin2Ø b. r=1/cosØ+2sinØ

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Q: The graph in the figure represents which polar equation? y (0,4) 3 2 1 (-2,0) -2-1 (2,0) 1/2 Or= 2(1…

A: This is a type of cardioid.

Q: Write z1 and z2 in polar form. (Express 0 in radians. Let 0 < 0 < 2a.) Z1 = 2/3 – 2i, z2 = -1 + i

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Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: Convert the rectangular coordinates (-2,2/3) to polar form. Let r> 0 and 0<0< 2n. Enter your answer…

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Q: Convert to rectangular form. You do not need to isolate y. (a) r= 4 cos0 (b) r = 4sin 20

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Q: Example: Replace the following polar equations by equivalent Cartesian equations and identify their…

A: Cartesian coordinates (x,y) can be converted to polar coordinates using the relation given by;

Q: b) Change the equation from polar form tao rectangular form. 2 1- cos0

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Q: Test for symmetry and then graph polar equation r = 2 + 3 sin 2θ.

A: r=2+3sin2θ Replace r, θ with -r, -θ, we get -r=2+3sin2-θ⇒-r=2-3sin2θ⇒r=-2+3sin2θ Which is not same…

Q: Rewrite the Cartesian equation x = -3 as a polar equation. r(0) = %3D Enter theta for 0 if needed.

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Q: Describe a viewing rectangle, or window, such as [-30, 30, 3] by [-8, 4, 1], that shows a complete…

A: Given  The polar equation is   r=153-2cosθ .

Q: Rewrite the Carteslan equation z = 5 as a polar equation. r(@) = Enter theta for 8 if needed.

A: Rectangular co-ordinates and polar coordinates are related as x=r cosθy=r sinθr2=x2+y2tanθ=yx

Q: Example: Replace the following polar equations by equivalent Cartesian equations and identify their…

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