For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. (a) A circle with radius 4 and center (2, 1). (b) A circle centered at the origin with radius 3.

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: (a) Given: A line through the origin that makes an angle of,   with the positive x-axis.

Q: Find a polar equation for the circle x2 + ( y - 3)2 = 9

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Q: Write Parametric Equations to Represent a Curve for the given curve for the given definitio:

A: In question number 32, we are asked to form only parametric equations, that means equation of x and…

Q: -38, find parametric equations for the given curve. 3x 34. Segment joining (-3,0) and (0, 4)

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Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

A: The polar equation is  r = 4 To evaluate: The graph of the polar equation.

Q: Find a polar equation for the curve represented by the given Cartesian equation. y = 4

A: Given ,Y = 4

Q: The curve whose equation in polar coordinates is given by r -4 sin(@) is a circle with its center…

A: I am going to solve the given problem first by converting in to the cartesian form and then…

Q: Consider the curve C of equation (x² - y + y?)2 = x² + y? . Among the indicated options, select the…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 2cx

A: Polar equation for the curve represented by the given cartesian equation x2+y2=2cx is r=2c cosθ The…

Q: A pair of parametric equations is given. x = cos(t), y = cos(2t) (b) Find a rectangular-coordinate…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: In the given equation as follows , sketch the curve represented by theparametric equations (indicate…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 9

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Q: Find a polar equation for the circle with center at thepoint (0, 4) and radius 4. Graph this circle

A: Equation of a circle in standard form is (x-h)2+(y-k)2=r2. The center for this circle is at (h,k)…

Q: Find a polar equation for the curve represented by the Cartesian equation: x^2 - y^2 = 4

A: The Cartesian equation for the variables x and y are,

Q: Find a Cartesian equation for the curve and identify it. r = 9 cos(8) circle O parabola O limaçon O…

A: here we have,  the polar equation of the curve is ,  r=9cos(θ) ................(1)

Q: Determine the following: Graph of the parametric curve with direction If possible, the initial and…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: For the described curve, decide if the curve would be more easily given by a polar equation or a…

A: The standard equation of a circle in the cartesian form with the center at the origin is given by…

Q: Find a polar equation of the line with slope -1 that passes through the origin.

A: Given, a line with slope -1 and passes through origin

Q: How many times do the graphs of the polar curves r=3 and θ=π/6 intersect?

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Q: Find the asymptotes of the curve given in polar coordinates:ρ=atanφ.

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Q: In Problem, graph the curve whose parametric equations are given and show its orientation. Find the…

A: The given equation is x=t,   y=t32,   t≥0. Sketch the graph of the above equation as shown below.

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: Find a Cartesian equation for the curve and identify it. 12 cos(20) = 1 o ellipse o limaçon circle o…

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Q: The intercepts on the horizontal axis are (pi/6 ,0) and (5pi/6, 0). graph the corresponding polar…

A: Given: The intercepts on the horizontal axis areπ6,0and5π6,0

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: Cartesian is easy

Q: Q4\ find a polar equation for the circle x² + (y - 3)² = 9

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y2 = 16

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Q: he polar equation for circle x^2+(y- 3)^2 =9

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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: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: Find a polar equation for the curve represented by the given Cartesian equation.

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Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π (with all the steps…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: Let's find

Q: Find the length of the curve in the picture given in polar form.

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given curve is r=53+8sinθ. To find: 1) Identify the conic.              2) Equation of the…

Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given: The function is given as ? = ?/?+?????

Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: 8. First graph the polar curve r= sin(20) on 0<60<2n and plot the point on the curve that…

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Q: Find parametric equations for the circle with center(h,k) and radius .

A: Find parametric equations for the circle with center(h,k) and radius r.

Q: If a and b are fixed numbers, find parametric equations for the curve that consists of all possible…

A: Any point on the Cartesian coordinate system is defined as x, y. Start from the origin, move m units…

Q: Consider the curve C of equation 4.xy x² + y? x² + y² From the choices given, select the one that…

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Q: What is the cartesian coordinates equation of the curve r= 3+ 3secθ given its equation in polar…

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Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

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Q: Convert the equation of the curve x^2−y^2=1 to polar coordinates. Your answer should be in the form…

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Q: 7. What is the equation of the curve in rectangular coordinates whose equation in polar coordinates…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: Given descriptions of two curves,  (a) A circle with radius 4 and center (3, 3). (b) A circle…

Q: 5) Identify the curve a Cartesian equation for the curve given in polar coordinates by r = 4sin 6 by…

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