Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify your answer to r = sec 0 (tan 0- 2), show all of those steps).

Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

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

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Q: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: I'm pretty sure it's c but can you help

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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: Replace the polar equation with an equivalent Cartesian equation. r 2 = 26r cos θ - 6r sin θ - 9

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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: Transform the equation r = 6 cos θ from polar coordinates to rectangular coordinates

A: The formulae shown below shows the relationship between polar coordinates and rectangular…

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: Convert the Polar equation to a Cartesian equation and solve for y. r2 sin(0) cos(0) +r cos(0) = 2

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576…

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Q: In converting r = 5 from a polar equation to a rectangular equation, describe what should be done to…

A: Given: r=5

Q: Find the polar equations of ALL the tangent lines to r = sin (30) at the origin.

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

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

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Q: Convert to polar equation. Express rinterms of Q 4x + y = 5

A: The objective is to convert in terms of polar equation.

Q: Find the exact length of the polar curve. r = 3 sin(0), 0≤0 ≤ π/4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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Q: What are the polar equations of the lines parallel to the liner cos (θ − π/3)= 1?

A: rcosθ-π3=1

Q: Find an equation in x and y that has the same graph as the polar equation r-sin 0 =0 and graph on…

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Q: 4 Convert the equation from polar to cartesian. r = 3 – 2 sin 0

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Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

Q: 8. Convert the polar equation r =8 cos 0 into a rectangular equation.

A: we know     The formula  of polar to rectangular    r2 = x2  + y2  , where x = r cos( theta) and…

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: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: snip

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Q: / 2-Replace the Cartesian equations with equivalent polar equations. 1]. x-y? =1

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Q: The alternative polar coordinates that satisfies r 0 for

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Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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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: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: Convert the Cartesian equation to a Polar equation. Express your answer as r = 2y –x² = 2y– 3x

A: The objective is to convert cartesian equation to polar equation.

Q: Express the polar equation r=2 sin 0 in cartesian coordirates.

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Q: 1 r = sin 0-4 cos 0

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Q: Here are the problems for you to answer. Work on your solution carefully to arrive at the correct…

A: We will find out the required value.

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: Convert the given polar equation into an equation in terms of Cartesian coordinates.

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Q: 2. Convert Polar Equation to Rectangular Equation. 1 r = sin 0 – cos 0

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

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Q: 7. Convert the rectangular equation 3x – 4y = 5 into a polar equation.

A: The equation in rectangular coordinates is given by 3x-4y = 5 To evaluate : The equation in polar…

Q: Find the polar equation for the Cartesian curve ² Or 1 T= cos 2 1 Or=sin @tan 0 2 T = Or= Or T = 1 1…

A: The given cartesian curve x2=y2 we have to find the polar equation

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

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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

Q: Convert rectangular equation (x + 1)2 + y2 = 1 to a polar equation that expresses r in terms of θ.

A: From the given data:

Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

A: To determine whether the given statement is true or false.

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

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