1 Plot the graph of the polar equation r = a 1- cose b Find the corresponding Cartesian equation.“

Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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Q: Sketch the curve with the given polar equation.

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Q: 2. Convert the polar equation r = cot 0 csc 0 to rectangular form and sketch its graph.

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Q: Replace the polar equation with equivalent Cartesian equations. Then describe or identify the…

A: We have the given polar equation as r=3cosu        ⋯⋯1 As we know that, the relationship between a…

Q: Replace the polar equation with equivalent Cartesian equations. Then describe or identify the graph.…

A: Given: r2+2r2cos u sin u=1

Q: Sketch the graph of the polar equation.r = 2 + 4 sin θ

A: Given polar equation is r=2+4sinθ

Q: Sketch a graph of the polar equation  r = −3 cos 2θ

A: We will make a table for the function.

Q: Replace the polar equation with equivalent Cartesian equations. Then describe or identify the graph.…

A: We have, the given polar equation as rsinu=lnr+lncosu        ⋯⋯1 As we know that, the relationship…

Q: Sketch the graph of the polar equation r = 2 – 3 sin 0 Upload Choose a File

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Q: Sketch the graph of the polar equation.r = 3(1 + cos θ)

A: To sketch the graph of r=3(1+cos θ), use Desmos graphing calculator and label the axes.

Q: Replace the polar equation r cos 0 +r sin 0 = 2 with an equivalent Cartesian equation. Then identify…

A: Explanation of the answer is as follows

Q: Use a graphing utility to graph the polar equation. r = 1 + cos(0)

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 3 cos 0…

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Q: Replace the polar equation r= 8 cos 0+6 sin 0 with an equivalent Cartesian equation. Then identify…

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Q: Sketch a graph of the polar equation. r9 sin(e) P/2 PI/2 10 -8 -2 -20 20 40 -10 -20 30 Pi/2 Pi/2…

A: We have to sketch the graph of the polar equation for r=9sinθ.

Q: r = cos 0 O r = sin 0.

A: Given :-  The graphs of  r = cos θ r = sin θ 3θ = 0 , π6 , π4 , π3 , π2

Q: Replace the polar equation r cos 0 = 2 with an equivalent Cartesian equation. Then identify the…

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Q: (4) a) Verify that the polar coordinates satisfy the equation r = 4 sin360. b) Sketch a graph of the…

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Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 3 (Type an…

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

A: make a table values to graph the function

Q: Sketch the graph of r = θ (θ ≥ 0) in polar coordinates by plotting points.

A: Consider the given curve. r=θ   (θ≥0)

Q: A polar equation is given. 2 - cos(0) (a) Express the polar equation in parametric form. (x(t),…

A: To convert Polar coordinates to cartesian coordinates, x=rcosθ     and y=rsinθ

Q: r = cos(0/7) %3D

A: Given,    r=cosθ7

Q: Choose the graph of the polar equation “ r=1+cos 0" .

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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: Sketch a graph of the polar equation. 3 2+3 cos 0

A: The given polar curve r=32cosθ

Q: Use a graphing utility to graph the polar equation r = 3/sin θ

A: Given the polar equation: r=3sinθ

Q: 9. (a) Find the rectangular coordinates of the point(s) of the graph of the polar equation r = 4 sin…

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Q: Convert the polar equation r = 6 cos θ to rectangular form and sketch its graph.

A: given: r=6cosθ for converting given equation in rectangular form, we multiply given equation with r…

Q: Consider the polar curve cos 0- sin 6 osos a) What happens when e approaches ? b) Convert the polar…

A: Given,       r=1cosθ-sinθ, 0≤θ≤π4

Q: Given polar equation is r= 1- cos 0

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Q: Sketch the graph of the polar equation.r = 2 - cos θ

A: We need to sketch the graph of the polar equation.

Q: Sketch the graph of the polar equation.r = 2(1 + sin θ)

A: To find : sketch graph of  r = 2(1 + sin θ)

Q: Graph the polar equation. r=-4 sin 0 Part: 0 / 2 Part 1 of 2 Plot six points satisfying the polar…

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Q: Q/ Discuss the relationship of between the polar and Cartesian coordinates with an example to…

A: Polar coordinates are denoted by (r,θ). Cartesian coordinates are denoted by (x,y). Relation between…

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: 7. Convert the polar equation to rectangular coordinates and determine the graph. r = sin 0-cos 0 8.…

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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: Find an equation relating x and y to describe the points on the xy plane that satisfy the polar…

A: Here we have to convert polar equation in to Cartesian equation. For that we use the relationship…

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

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Q: Sketch the graph of the polar equation.r = 5 + 3 sin θ

A: The given polar equation is r=5+3sinθ. Substitute…

Q: Discuss the symmetry and plot the polar equation r= 2 - 3 sin 0. %3D

A: You have posted multiple question. We are answering the first one as nothing is specified. If you…

Q: Match the point in polar coordinates with either A, B, C, or D on the graph. 1)

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Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

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Q: 10. Sketch the curve of the polar equation r = 2 sin 0 . Find a rectangular equation for this curve.

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Q: Sketch a graph of the polar equation r2 = 4 cos 2

A: Given:       r2=4 cos2θ First, notice that             r2=4 cos2θ⇒4 cos2θ=2cos2θ Applying following…

Q: Sketch the polar graphs and find the points of intersection for the curves: r = sin(θ) and r =…

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