10) Given the polar equation r = 8 sin 0 a) Graph it, and b) Express it in rectangular coordinates. 120 10 180 150

Q: 2. Convert the polar equation to rectangular coordinates. 1 r = 1+ sin 0

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Q: r = -4 sin 0,

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Q: 3, Draw the polar equation r = 2 sin(0). 12 3 4 5 -2 ヤ -6 Clear All Draw: Question Help: D Video…

A: Given: r=2 sin (θ) Take different values of θ and find the value of r. θ 0 π2 π4 π6 π3 2π3 5π6…

Q: Convert the following polar equation to the Cartesian. Describe the resulting curve. r = 2 sin 0+2…

A: Here we will convert the given polar equation in cartesian form and we will describe the curve,

Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: a) Reproduce the algebra required to convert this Cartesian equation to the polar form r = sin(20).…

A: Given the algebraic equation, (x2+y2)3=4x2y2 ⋯⋯(1) (a) Take x2+y2=r2, x=rcosθ, and y=rsinθ Then…

Q: E-Replace the polar equations with equivalent Cartesian equations. 1]. 2]. r = sin 2

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Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 9 + 7i r = • 0…

A: The given complex number is: z=9+7i

Q: Put in polar form z -3(cos(6) + i sin(6)). What is its principle argument, Arg(z)?

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Q: The area of one loop of the graph of the polar equation r =2 sin 30 is Select one: O27 3

A: r=2sin3θ

Q: 1 For the given polar equation: r = 6(sin 0-cos 0) a. Write the equation in rectangular coordinates.

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Q: If (r, 0) is another representation for the polar point (3.1, and the angular coordinate is 0 =…

A: Use the concept of polar coordinates and solve the above.

Q: Write in Polar form: r(cosθ+isinθ). (0≤θ<2π and round to 3 decimal places) 8+10i r= , θ=

A: The polar form of a complex number z=a+bi is z=r(cosθ+isinθ). where, r=|z|=a2+b2 , a=rcosθ  and…

Q: 1- Convert the polar equation to a Cartesian equation: a. r=4 sin 0 b. 0 = T/4 c.r = 5 d. r sin (20)…

A: While dealing with polar and cartesian equations, we should know these basic things x=r cosθy=r sinθ…

Q: The polar form of the Cartesian equation x = 4 is Select one: a. r sin 0 = 4 b. r= 4 cosec 0 c. r= 4…

A: We have to find the polar form of the Cartesian equation  x = 4

Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: Find zw and z/w, Leave your answers in polar form.

A: Given the complex numbers  z=2(cos5π3+isin5π3)w=3(cosπ3+isinπ3)

Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: The polar form of the Cartesian equation x = 4 is Select one: a. r sin 0 = 4 b. r=4 cosec 0 c. r=4…

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Q: Write in Polar form: *(cos e + z sin 8). i sin 0). (0 < 0 < 2n and round to 3 decimal places) - 17 +…

A: We have to find value of r and θ Consider ,z=-17+12iHere x=-17 and y=12 Here we will use the…

Q: Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

A: Given,             r=6sin4θ , θ=0

Q: Sketch a graph of the polar equation r = 4 sin 3θ  and find the tangent lines at the pole.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) — 12 — Зі r =…

A: Given: -12-3i. The objective is to write the polar form.

Q: 5/3 Convert the point with Cartesian coordinates 2 to polar coordinates. Enter exact values for r…

A: Convert the point with Cartesian coordinates 52,-532 to polar coordinates.Enter exact values for r…

Q: Replace the polar equation 1 1 r = 1– sin 0 1+ sin 0 with an equivalent Cartesian equation. Choose…

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Q: 59. r = 1 + cos 0

A: Calculation are as follows

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) – 12 – 3i r = ,…

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Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: 10- Rewrite the polar equation r=3sin(θ) as a Cartesian equation.

A: As per our guidelines we are supposed to answer only one question,  kindly repost the next question.…

Q: Transform the given polar equation to rectangular coordinates and identity the curve represented r=…

A: An equation in polar coordinates is given, we have to convert the given equation in to the…

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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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: 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: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: 2 Q3: Discuss the symmetry and plot the locus of polar equation r 1-cose

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Q: The area of one loop of the graph of the polar equation r= 2 sin 30 is Select one:

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Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12

Q: 9/2 9/2 2 Convert the point with Cartesian coordinates to polar coordinates. Enter exact values for…

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Q: 13. Convert the polar equation to rectangular coordinates. (a) 1- 2 cos 0 (b) r = 9 sin 0

A: Consider the provided question, (13) (a) Convert the polar equation to rectangular form,

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) - 4 – 16i r = ,0…

A: The given number -4-16i

Q: Write in Polar form: r(cosθ+isinθ). 8+10i r=    , θ=

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Q: 8 a. Given the polar equation r² sin20 = 8, find an equivalent Cartesian equation.

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Q: An aircraft P flying at a constant height has a velocity of (400 + j300) km/h. Another aircraft Q at…

A: Given that Velocity of p=400+j300km/hVelocity of Q=200-j600km/hSolution :a. velocity of p relative…

Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

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Q: 5/3 Convert the point with Cartesian coordinates to polar coordinates. Enter exact values for r and…

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Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

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Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 19 – 4i r = .0 =

A:

Q: 6 Rewrite the polar equation r = as a Cartesian equation (rectangular) 1 – sin(0)

A: We have the relation between polar coordinates and rectangular coordinates as x=rcosθy=rsinθ