Rewrite the algebraic equation (a 5) + y = 25 in its equivalent polar form. 2 a) Or = 5 cos? (e) b) Or = 10 cos(0) c) Or = 5 sin(0) d) Or = 5 sin? (e) e) O = 10 cos(0) f) O None of the above.

Q: Convert x² + y = 3 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation…

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Q: 6. What is the equation of the polar curve shown? a) r = -4 sin 30 c) r = 4 cos 30 b) r = 4 sin 30…

A: Since you have asked multiple question so we will be answering only first question. Given polar…

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: Convert each polar equation to rectangular form. 2 D=0 (a) r = 4 cos 0 + 5 sin 0 Rectangular form:|…

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Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: Convert the Polar coordinate to the Cartesian coordinate. 1. r= 1+2r cose 2. r=1-cos8

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

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Q: Match the graph with its polar equation. r = 2 sin(0) 1/2 A/2 4 -2 -2 A/2 3- A/2 -1 1 2 4 -2 -1 1 2…

A: Topic :- Geometry Corect Answer= 3 r=2sinθr    θ0    01    π62     π20       π

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

A: By using some important replacements we can easily change cartesian equation into polar equation…

Q: 2 2 Convert the equation x+y-16 = 0 to polar form. %3D Then solve the resulting equation for r.

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Q: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: What is the graph of the polar coordinate equation r = 2 cos 0 + 4 sin 0

A: According to the given information, it is required to draw the graph of the given polar coordinate…

Q: 4. Shown below is a diagram showing an original triangle (pink) and its rotation about one vertex…

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Q: (a) Convert the polar equation r = 4 sin 0 to rectangular form. (b) Convert the rectangular equation…

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Q: Convert the Cartesian equation x² + y² + 3x = 0 to a polar equation. r² = = -3 cos 0 r= 3 cose r= -3…

A: Given x2+y2+3x=0To find polar equation:

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

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Q: B/Test the symmetric of polar equations: 1- r= 1+5 cos 0 2- r= 3 sin 0

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Q: In Problem,find zw and z/w Leave your answers in polar form.

A: To Determine:  find zw and z/w Leave your answers in polar form. Given: we have…

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: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

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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: 2 = 17 cos 0 %3D The equation using rectangular coordinates (x,y) is = 0.

A: The equation using rectangular coordinates (x, y) is    (x2+y2)3-289x2=0 Or…

Q: Write the equation (2² + y²)² = 10 xy in polar coordinates. a) Or? = 10 cos(2 0) b) Or? = 10 sin(0)…

A: We know that For conversion to polar form from cartesian equation. x=rcosθ y=rsinθ  Put these values…

Q: What is (-2/3 – 2i)* equivalent to? Drag a value to each box to correctly express the answer in…

A: Given :               (-2.sqrt(3) - 2i)4                into r . cis theta form.

Q: The Cartesian equation, x = - 4, is equivalent to the polar equation, O. 4 cose Or2 = 4 cos e %3! I…

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Q: 2 Convert the equation x+y- 36 = 0 to polar form. Then solve the resulting equation for r.

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Q: Find zw and Leave your answers in polar form. z=7 cos-+i sin COS 4 元 w=7 cos COS +i sin

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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: 1) (a) Convert BOTH of the below equations from either polar to rectangular or rectangular to polar.…

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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: Convert (x - 3)² + y² = 9 to polar form. Drag and drop an answer to each box to correctly complete…

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Q: a) Convert the polar equation to rectangular form.            r = 2 sin(?)   b) Convert the polar…

A: The answer is

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

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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: The area of one loop of the graph of the polar equation r = 2 sin 30 is Select one: IT 3 2 4 2n 3

A: Solve by definite integration

Q: Convert the equation to polar form. 3x = 3y Зу 3r(cos 0 – sin 0)

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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: Find zw and W Leave your answers in polar form. - TC TO Z= 6 cos + i sin 11 11 TO W = 6| cos COS + i…

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Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.

Q: Convert the rectangular equation x² + y² – 2x = 0 to polar form. Have your equation begin with “r ="…

A: Explained below

Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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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: On the left side, the polar function 1 = 2 cos(0)+3 sin(0) is graphed. Enter a possible rectangular…

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

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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: Convert the rectangular equation 2x - 4y = 5 into polar form. 1 O r = 2 cos 0-4 sin 0 5 Or 2 sin 0-4…

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Q: Convert r= 4+cos (2•) into rectangular coordinates

A: Consider the polar equation