Identify and draw the conic r(2 + sin 0 ) = 6.

Q: 14 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. %3D 3 – 4 cos(8)

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Q: Q17:- In polar coordinates prove that** 第。

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Q: Sketch the curve in the complex plane given by | Z-3| = | 7 + 3i } %3D i, z'+ 2?= 2. %3D

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Q: 36 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4 + 5 sin(0)

A: Sketch the graph of r=364+5sinθ as shown below.

Q: 14 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4 + 3 sin(0)

A: To Sketch: i. r=144+3sinθii. Use a graph to write the cartesian equation for the conic. Explanation:…

Q: Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 1- 2 sin(8)

A: Definition used -                 We will plug random values of theta and find values of…

Q: Identify and draw the conic r(2 – 2 sin 0 ) = 8. %3D

A: We have to solve given problem:

Q: Convert the given polar equation to a Cartesian equation. 2-cos(e)-4 sin(e) In Cartesian, this…

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Q: Find two different pairs of parametric equations for y = - 2x + 4.

A: The given equation is: y=-2x+4 Consider, x=t Then, y=-2t+4

Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: 4Evaluate in polar fom; 1)' 3(-344i + (3+4i)(-2 3-4i

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Q: ed 3. For a conic defined byr = the directrix is (horizontal/vertical) with equation 1 + esin 0'

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Q: Find parametric equations for the complete parabola x = y2. Answersare not unique.

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Q: Is the given statement true or false? Justify your answer. Directrix of a conic r = 10 3-2 cos 0 is…

A: Given: r=103-2 cos θis x=13

Q: Identify the conic section and graph the polar equation: r = 2/(1 - cos θ)

A: The given polar equation is r=21-cosθ Here, the given equation can be ellipse, parabola and…

Q: 32 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 5 – 3 sin(0)

A: We have to sketch the graph of r=325-3sinθ. Use the graph to write a Cartesian equation for the…

Q: Write the name of the conics giver by poloar curve r=6/(2+sin(t)) a) Determine the vertices in the…

A: We need to write the name of the conics given by the polar curve r=6/(2+sin(t)). Also, we need to…

Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: 1 a. Showing all 9r2 = (1 + 3r cos 0)². b. Express 9r2 = (1 + 3r cos 0)² in rectangular coordinates.…

A: a. Consider the equation: r=13-3 cos θ

Q: Is the given statement true or false? Justify your answer. 10 3-2 cos 0 is a = 13. Directrix of a…

A: The given polar equation is r=103-2cosθ. Rewrite it as follows.

Q: . Convert the following conics to rectangular form. 1 2 10 (a) r (b) r = (c) r = 5 – 5 sin 0 1+2 cos…

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Q: State the polar Equation of a Conic Section.

A: Polar equations of conic sections:  If the directrix is a distance d away, then the polar form of a…

Q: 8) (Section 10.7) Eliminate the parameter and find the correspond rectangular equation for the set…

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Q: ) Identify the conic section given by the polar equation r =

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Q: ») Shade the region in the complex plane defined by {rec: s |z+ 2+ 2i <1 4i E C

A: Complex plane

Q: In Problem,identify the conic that each polar equation represents and graph it.

A: We know that the general Cartesian form of a curve is : Ax2+Bxy+Cy2+Dx+Ey+F=0 Determinant=B2-4AC.

Q: \text { Sketch the conic } r=\frac{12}{2+4 \sin \theta}

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Q: 4 4. a) Identify the conic section given by the polar equation and also determine 1-cos e its…

A: We convert the equation into rectangular form first This is a parabola.

Q: Use polar coordinates to graph the conics in Exercises 44–51.44. r = 2/1 + 3 cos θ 45. r = 2/1 − 3…

A: Points that lie on the curve helps to graph the given function. Substitution of the random angles…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: 20 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 3 – 2 cos(0)

A: Given: r=203-2cos(θ) following image represents the graph for the given equation.

Q: What are the parametric equations of x - 2y + 3z - 1 = 0?

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Q: Consider the conic below x² + 4xy+4y² – 2/5x + /5y = 0 and determine what is asked. 1) Conic…

A: As per our guidelines we are allowed to answer only three subparts of a given question.Kindly repost…

Q: Convert the polar equation of a conic section to a rectangular equation. 8 r = 7 - 3 cos(0)

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: Write the parametric equations x=2sinθ,y=9cosθ,0≤θ≤πx=2sin⁡θ,y=9cos⁡θ,0≤θ≤π in the given…

A: Given information: The parametric equations are x=2sinθ            y=9cosθ             Can be…

Q: Find the parametric equations of the li segment that passes through the point

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Q: Use, 0 = 60°, to write the rotated conic section given below, in the x'y'-plane. x² - y² = 9 Select…

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Q: Identify the conic of r 1 cos0 Answer.

A: Topic:- algebra

Q: Identify the type of conic from the discriminant.*2 + 2xy +y² + /2x - /2y– 2=0, p=45° ANSWER: Blank…

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Q: Identify and draw the conic r(2 – 2 sin 0 ) = 8.

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

Q: 22 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 6 + 5 sin(0)

A: Given  r=226+5sinθ For a conic with focus at origin , directrix  y=±p, p is a positive real number…

Q: Identify the conic represented by each of the following: (explain your answer) r=10/(3+5 sin⁡θ )…

A: a)Consider,

Q: Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is…

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Q: 8 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. 1+ 3 cos(8)

A: Sketch the graph of r=81+3cosθ as shown below.

Q: 12 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 2 + 4 cos(0)

A: Given that, the polar equation is r=122+4cosθ. Sketch the graph of r=122+4cosθ as shown below, From…

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

A: Consider the polar equation