Sketch a graph of the polar equation r = 4 cos 30 and find the tangents at the pole. 6. Sketch the graph of the polar equation r = and r = 20. 2 sin 0 – cos 0

Q: What type of polar curve does the equation r^2 = 4 cos 2@ represent ?

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Q: Consider the polar equation r = 4 cos 20. (a) Sketch the graph of the polar equation. Please show…

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

A: We will make a table for the function.

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: The given polar equation is  r=5+4cosθ. To find: The slope of the tangent line to the graph of the…

Q: Consider the polar equations r = 9+8 cos(0) and r = 9+8 sin(0), whose graphs are shown below. 15 10-…

A: The graphs of the polar equations r=9+8sinθ and r=9+8 cos θ is given. Identity the given equation…

Q: Find the exact length of the polar curve r=1+ cos 0

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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: Sketch the graph of the polar equation.r = 1 + 2 cos θ

A: Consider the provided polar equation, r=1+2cosθ Sketch the graph of the polar equation. Now make the…

Q: Graph the polar curve given by the equation below and plot/label the values of 0 = 0, T/2, 7 and…

A: Solve the following

Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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Q: Sketch the graph of the polar equation. r = 8 + 5 sin 0

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Q: Sketch the graph of the polar equation.r = 3 sin 2θ

A: Solution:Given     r= 3 sin2θTo sketch the graph of the polar equation.

Q: 1) Given the Polar Equation r = 2 cos 30 a) Perform the three symmetry test for the equation b)…

A: Symmetry tests: 1. A graph is symmetric with respect to the line θ=π2 (y-axis) if replacing r, θ…

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: Sketch the graph of the polar equation.r = 3 cos θ

A: Given polar equation is r=3cosθ. Multiply both sides by r. And then use r2=x2+y2,x=rcosθ.  This will…

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: Find the length of the curve over the given interval. polar equation : r = 8a cos θ interval…

A: Given

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: Q5\a- Replace the following polar equation by equivalent Cartesian equation and identify their…

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Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

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Q: Sketch a graph of the polar equation r = 5 − 4 sin

A: The given equation is r=5-4sinθ. Sketch the graph of the above equation as shown below.

Q: Graph the polar equations r = −1+cos θ and find the equation of the tangent at θ = π/4.

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Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 1 1-cos e

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 9 cos(8) 2

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

A: The given polar curve r=32cosθ

Q: Given the polar equation r = 1+2 cos 0. i. Show that the graph of the equation is symmetrical to the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

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

A: Given: r = 2 sin 4θ

Q: Sketch a graph of the polar equation  r = 4 − 3 cos θ

A: Given polar equation:                                     r = 4 − 3 cos θ

Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: 5 cos 0 and use this Cartesian equation to 5. Find a Cartesian equation for the polar curve r =…

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

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Q: Carefully sketch the curve for the given polar equation (make sure to include a chart of some values…

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Q: Find the slope of the polar curve at the indicated point. r = -9 + 3 sin θ, θ = 0

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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: Plot the graph of r= sec 0 tan 0.e a b Find the Cartesian equation corresponding to this polar…

A: Polt the polar curve and conversation of polar coordinates

Q: Sketch a graph of the polar equation and nd the tangents at the pole. r = 3 (1 − cosθ)

A: By using polar curve

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a…

A: Given:         r=cos5θ

Q: What type of polar curve does the equation r = 8 sin^2 (@/2) represent?

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

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

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a…

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Q: Sketch a graph of the polar equation r = 3 cos 4θ and find the tangent lines at the pole.

A: Given: The equation r=3 cos 4θ To sketch: The graph of the given equation. To find: The tangent…

Q: Sketch a graph of the polar equation. = sin(40) n/2

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Q: The graph of the polar equation r(0) = 0 cos(0), o ses. with derivative = cos(e) – 0 sin(0), is…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The polar equation that has the same graph as the rectangular equation a2 + y² – x – 4 y =0 is r=…

A: Given: Rectangular Equation = x2+y2-x-4y=0 Polar equation, r= cosθ - 4 sinθ

Q: Find the equation of the line tangent to the polar curve at the point r=2cos(theta/3), theta=pi/4

A: Given: The slope of the tangent line is calculated by using the following formula,

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…