4 What is (2 – 2i/3)* equivalent to? - Drag a value to each box to correctly express the answer in polar form and then in rectangular form.

Q: Write in Polar form: r(cosθ+isinθ)r(cosθ+isinθ). (0≤θ<2π0≤θ<2π and round to 3 decimal places)…

A: Given:     z = 8 + 10i    0≤θ&lt;2π

Q: Convert the equation rsin 0 = ln r + ln cos 0 from polar to cartesian.

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Q: Find the area of the region. Interior of r = 10 + 7 sin 0 (below the polar axis)

A: Explained below

Q: 1. Use polar coordinates to find the area inside r = 4 cos 30 and outside r =2.

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Q: swer in polar form where r> 0 and

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Q: Find the area of the region in the polar coordinate plane . Enclosed by one leaf of the three-leaved…

A: The area of the region enclosed by one leaf of the three leaved rose between the origin and the…

Q: (4230°)² 3. - (6 – 4i)“. Express your answer in polar form. - (2cis60°)³

A: Given: 4∠30°22cis60°3-6-4i2 To express: Given complex number in polar form.

Q: ln (3+j4) express in polar form

A: Polar form of logarithmic: Let us consider logarithmic form of complex number: ln(a+bj), where…

Q: Find z1z2 in polar form. Z1 = 9 ( cos +i sin 22 = 6 +i sin 4

A: R eiθ=Rcos θ+i sinθ

Q: (Picture of question is attached)

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

Q: Evaluate the following and express the result in polar form. Note: Solve problem number 13 only.…

A: Any complex number z=x+jy can be presented in its polar form as z=r(cosθ+jsinθ) , where, r=x2+y2 and…

Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: Find the area of the shaded region given the polar equations: r = sinx and r = cosx

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Q: The magnitude of area inside of polar curve (r =) and outside 2 of polar curve (r = sin0) is equal…

A: We have to find the magnitude of the area inside of the polar curve r=3π and outside of the polar…

Q: Find the area of the region enclosed by one loop of the curve for the polar equation r = 2sin3θ.

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Q: Please see picture

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Q: Find the area inside the polar curve of r = 1+2 sine but outside the smaller loop.

A: Consider the graph: Consider the curve:

Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: test for symmetry and graph polar equation

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Q: Q/Discuss the determine the area formula in polar coordinate with an example ?

A: Definition of Polar Coordinates Polar coordinates are a set of values that quantify the location of…

Q: find the area of the polar curve.   r=3-sin@

A: To calculate the area of the given polar curve , using integration

Q: A tangent at the pole to the polar curve r = is 2-4 sin 0 A 0 = = af pole usin6-2 Sing D 0=

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Q: Convert (x + 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…

A: Let's find.

Q: P2: sketch in polar

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Q: 1- Determine the area under the parametric curve given by the following parametric equations. X =…

A: follow next step

Q: а. Use technology to graph these two polar functions, and then sketch the region R below. b. Find…

A: The area bounded by two polar curves 0≤r1θ≤r2θ , α≤θ≤β is given by 12∫αβr12-r22dθwe have given the…

Q: Find the area of the region inside one leaf of the polar graph: r = sin7x

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Q: 1. How many petals does the polar curve r=5cos(6theta)?  2. At what points the curves…

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Q: 44. A tangent at the pole to the polar curve r = 2- 4 sin 0 is af pole 0 = = D 0 = Sing 8sin

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Q: Find the area of the region inside one leaf of the polar graph: r = sin4x

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Q: r = 3+2 cos 0

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Q: aluate the dnd to polar

A: Given that, ∫0a∫02a-x2xx2+y2dxdy Take x=rcosθ, y=rsinθ where 0≤θ≤2π.

Q: Calculate the length of the polar curve r=1- sin Oon the given interval (0, 2m].-

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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: Find the the area of the region enclosed by the polar equation 3 sin(20), 0<0 < T/2.

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Q: Find z1z2 in polar form. = 4 (cos(140°)+i sin(140°)); z2 = (cos cos(40°)+i sin(40°) Z1

A: We use the fact that  Cost+ i Sint = eit

Q: Find the area of the region Interior of r = 9 − sin (above the polar axis)

A: we have to find the area above the polar axis which means θ varies from 0&lt;θ&lt;π

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 the area inside the polar curve r = 2+2 cos 0.

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Q: What is (x - 12)² + y² = 144 in polar form? r = 24 sin 0 r= 24 cos 0 O Option 1 r= -24 sin 0-144…

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Q: Convert eVx = 6 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation and…

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

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Q: Plot the polar curve r=2(1–cos0) in interval

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Q: Find the two square roots of z (call them wi and w2) and express in complex polar form r(cos(0) + i…

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Q: 3Q. If z₁ = (cos50 – i sin 50), z₂ = (cos70 + i sin €) and z3 = (cos40 – i sin 40) then find 4 polar…

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Q: Find the area of the region. Interior of r = 4 + 3 sin 0 (below the polar axis)

A: Given that         r = 4 + 3 sin (theta) Here we have to find the area of the region below the polar…

Q: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

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Q: ulate the length of the polar curve r=1-sin0on the given interval [0,

A: The given curve is r=1-sinθ   ...........(1)  now, differentiate with respect to θ

Q: 8. Determine the area in one loop of following polar equations. Sketch after. (a) r = 8 sin(40) (b)…

A: The area with the polar coordinates can be calculated using the integration. The formula for the…