which of the following polar equations is symmetric only with respect to the polar axis (x axis) a) r= 2cos 2θ b) r= 4sin 2θ c) r= 1+2 cosθ d) r=4-4 sinθ

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: Which of the following polar equations is symmetric only with respect to the polar axis (x-axis)? r…

A: The solution for the above question is as shown below.

Q: r = -4 sin 0,

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Q: Given that the point (22.2, 129.7) in polar coordinates, find its equivalent in the cartesian…

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Q: What type of polar curve does the equation r^2 = 4 cos 2@ represent ?

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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: the polar equation to rectangular Coordin r = 8 cos(0)

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Q: In polar coordinates, the graphs of r = a cos θ and r = a sin θ are_______ .

A: r=acosθ⇒r=a·xr   ∵x=rcosθ⇒r2=ax⇒x2+y2=ax   ∵r=x2+y2 This represents equation of a circle. Similarly,…

Q: 2. Convert the polar equation r = cot 0 csc 0 to rectangular form and sketch its graph.

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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: Which one of the following polar equations is equivalent to y =x -4. 4 r= cos 0- sin e 4 r = cos 0+…

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Q: Question in Image.

A: To convert to polar form replace:  x with r cos θ y with r sin θ   We have y = 7x + 12   r sin θ =…

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: In polar coordinates, r is the ________ ________ on the terminal side of an angle uwhose vertex is…

A: The given statements is "In polar coordinates, r is the ________ ________ on the terminal side of an…

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: 5. Convert the polar equation to rectangular equation of the form y = mx + b. Simplify your answer…

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Q: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

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Q: Consider the polar equation defined by r = 5 cos(2 sin 6), where 0<0< 27. Determine the missing…

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Q: The polar form of the Cartesian equation x = 4 is ... ...... Select one: a. r sin 0 = 4 %3D b. r=4…

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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: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

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Q: Find the slope of the tangent line to a given polar curb at the point specified by the value of…

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Q: The Cartesian equation, x = 3, is equivalent to the polar equation, Or² = 3 cos 0 3 COS O r = r = 1…

A: We are given a Cartesian equation  x=3 and we have to which among the following is it's equivalent…

Q: r = 2+ 2 sin 20 Sl

A: Graphing Polar curve is as follows:

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: 2. Convert the polar equation to rectangular form. Simplify your answer r2sec30 = r?tan?0 sec 0 –…

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Q: Replace the following polar equation by equivalent cartesian equation: r= 2 cos(theta) + 2…

A: See the attachment

Q: Q4: Replace the following polar equations by equivalent Cartesian equations 1- r sin 0 -1 2- r= - 3…

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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: Which one of the following polar equations is equivalent to y =x- 4. 4 r = sin 0 – cos 0 cos 0 – sin…

A: We have to find

Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: Graph the polar equation. r=-4 sin 0 Part: 0 / 2 Part 1 of 2 Plot six points satisfying the polar…

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Q: Replace the polar equation with an equivalent Cartesian equation.  7r cos θ + 9r sin θ = 1

A: Answer is mentioned below

Q: Which of the following shows the correct sketch of the polar curve r= + 5 cos 0? 4 -6 -4 6 -4 6. b)…

A: r = -(5/2) + 5cos(theta) curve

Q: A) Replace the polar equation r2 sin20 = 2 with equivalent the Cartesian equation %3D

A: Given: The polar equation r2sin2θ=2, To find: Equivalent cartesian equation.

Q: Remember that rectangular form is z = a + bi and that polar form is z r(cos 0 + i sin 0) Take…

A: The given complex number is z = -3 + 4i

Q: Which one of the following polar equations is equivalent to y =x -4. cos 0 – sin 0 4 4 cos 0 – sin 0…

A: Given that  y = x - 4 . We need to find it's equivalent equation in polar form.

Q: 5. Convert the polar equationr= cot 0 csc 60 to rectangular form.

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: Which of the following polar equations shows a limacon with a dent? A) r = 6 + 4 sin 0 B) r = 4 – 6…

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Q: Which of the following polar points is equivalent to the rectangular point (-2/3, 2)? Select all…

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Q: Change the following rectangular equations to polar form. Show work on separate paper. 14. x² +y°…

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Q: Draw the polar curve r = 2 – 4 sin 50

A: See the attachment