Find a polynomial equation in cartesian coordinates whose graph that contains that of the equation given in polar coordinates

Q: Q3: Find and classify all fixed points and plot the portrait on a circle for the system è = 2 + 2…

A: Given equation is θ.=2+2cosθ. We have to find the fixed points of the given system. Then we will use…

Q: Convert the rectangular equation (x2 + y2)2 − 9(x2 − y2) = 0 to polar form and sketch its graph.

A: Coordinates in Cartesian system (x,y ) Coordinates in polar system   To convert the Cartesian…

Q: find a set of parametric equations to represent the graph of the rectangular equation using and…

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 1 ≤ r ≤ 2

A: 1 ≤ r means exterior of a circle r = 1 r ≤ 2 means interior of the circle r = 2 Hence, the 1 ≤ r ≤ 2…

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ≤ π/2, 1…

A: Given data:     The given expression for the polar form is: The relation between x-coordinate and…

Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…

A: Find the direction vector of the line using the two points

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: To sketch the graph using symmetry, zeros and maximum r-values: r=8 sinθ Let, r=8 sinθ. Symmetry:…

Q: 3x=3y in polar form

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Q: If there is a 60° angle from the positive x-axis to the positive x′-axis, explain how to obtain the…

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Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities θ = π/2, r ≥…

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Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ r ≤ 2

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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: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities r ≥ 1

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Q: -Reduce the equation to its ordinary form using rotation and translation of axes

A: answer is in next step .

Q: (a) Explain with examples that the polar co-ordinates of a point are not unique.

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: The exponential polar form is

A: The exponential polar form is given by z=reiθ where r is the modulus of z and θ is the argument.

Q: Write 4x²y = 1 in Polar Form. %3D

A: To convert the equation from Cartesian to Polar for we use the transformation x=rcos(theta)…

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: The orbit of Mars around the sun is an ellipse with eccentricity 0.093 and semimajor axis 2.28 x 108…

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Q: Find the parametric equations of the line segment that passes through the points A(4,2,-5) and…

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Q: Find parametric equations for the line of slope 2 that passes through the point (3, 5)

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Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: 3. 3,

A: Here, we have to find the polar expressions that represent the graph below.

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: Determine the fifth roots of 2 – j5 in polar coordinates.

A: To find the fifth roots of 2-5j

Q: To test if the graph of a polar equation may be symmetric with respect to the polar axis,replace θ…

A: To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace θ…

Q: Change 8x-2y^2= 2x^2 to polar form. Solve for r or some power of r.

A: The equation in the rectangular coordinates is given by 8x-2y2 = 2x2 To evaluate : The equation in…

Q: Which set of parametric equations represents the curve shown in the figure?

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Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ ≤…

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Q: Find the equation in polar coordinates of the line through the origin with slope

A: The line passing through origin and slope 13

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities -π/4 ≤ θ ≤…

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Q: ン Plot the point whose polar coordinates are 4, 5+ 4 2 -5 -4 -3 -2 -1 4 5 -1 -2 -3 3.

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Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ ≤ π, r…

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Q: Find the polar form and graph in complex plane

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Q: Solve the equation (1 – i)z³ = 1+iv3 and write all roots in polar form.

A: Answer

Q: Find a polar equation that has the same x² - y² = 7 as graph

A: topic:- geometry

Q: Find a polar form of the equation. x² + y² = 4

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Q: passes through (-2,-1) and perpendicular to the line y= 3.

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Q: Find all the polar coordinates of the point: (9,7).

A: Our Aim is to find the polar coordinates of the point 9, π4.Solution⇒Since, we know that the polar…

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

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Q: The question says to write in polar form

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Q: Describe the graph of the polar equation

A: This is a polar form of an ellipse with major axis along  y axis and minor axis along x axis…

Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

Q: find a polynomial equation in Cartesian coordinates whose graph that contains that of the equation…

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Q: Find a set of parametric equations for the line segment from (-1,5) to (9,–4).

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