1. Test the polar equation for symmetry. Then, sketch a graph. r = 2sin 30 sin(30) r = 2sin 30 30 /6 "/4 */3 /2 2/3 37/4 S/6 T1/6 S/4 A7/3 37/2 5"/3 11/6 2n

Q: Sketch the graph of the polar equation. r = 7 + 4 sin 0

A: Given, The equation, .

Q: 3. Draw the polar curve r = 1+3 cos 30

A: THE POLAR CURVE OF THE GIVEN FUNCTION r=1+3cos3x will be,

Q: (b) Use appropriate software to sketch the following polar curves i) r = cos(7.10) + cos² (0) ii) =…

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

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

A: We will make a table for the function.

Q: Sketch a graph of the polar equation  r2 = 9 cos 2θ

A:

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: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: What is the length of the polar curve below? = 2 cos(0) for 0 sos 4

A:

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

A:

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: 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: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

A:

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 0 The two curves…

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in…

Q: Consider the polar equation defined by r = 5 cos(2 sin 6), where 0<0< 27. Determine the missing…

A:

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: 3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0.

A: r = 2 r = 4 cosϴ

Q: 9. Sketch the polar curves r = 5sine and r = 5 sin(30) on the same grid below.

A: The given polar curves are  r=5sin(θ)r=5sin(3θ)

Q: 456 Aich eguetionrepřesents the polar graph? Select one: FO None of these 6sin20 6cos20 sin 40

A:

Q: Which of the following graphs represents the polar equation defined by: r = 2+2 cos 0?

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Q: Draw the polar curve r = 2 – 4 cos 50

A: The given equation is a polar curve equation in which r represent the distance of point from origin…

Q: Find the equation of the following polar graph: 10 5- -10 -5 5n 10 -10 - a) Or = 2+4 cos(e) b) Or=…

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Q: Graph the polar curve r = 2+4 cos 0

A: To graph the given polar curve Given polar curve is r = 2+4cosθ

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

A:

Q: Which of the following statements is true for the polar equation r + 6 sin 0 = 0? A. It represents a…

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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: Find dy/dr and the slopes of the tang ent lines shown on the graph of the polar equation r = 2+3 sin…

A: According to question, r = 2 + 3 sin θ

Q: What kind of the polar graph has the equation r = 2 + 2 cos 0? limacon cardioid lemniscate…

A:

Q: 4. Sketch a clear and accurate graph of the polar equation r 1-2cos 0.

A: To sketch a clear and accurate graph of the polar equation r=1-2cosθ Here r is the distance from the…

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

A: Given: r = 2 sin 4θ

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

A:

Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

A:

Q: Which of the following shows the correct sketch of the polar curve r = 9 sin(3 0)? 10 -10 5 10 -5…

A:

Q: Which of the following shows the correct sketch of the polar curve r= + 5 cos 0? 4 -6 -4 6 -4 6. b)…

A: r = -(5/2) + 5cos(theta) curve

Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

A:

Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12

Q: Which of the following shows the correct sketch of the polar curve r = 6 sin(3 0)? 10 а) -10 10 -10…

A: To plot the polar curve r=6sin3theta

Q: Sketch the graph of the polar equation.r = 8 cos 3θ

A: See the graph

Q: A curve in polar coordinates is given by: r= 8+2 cos 0. %3D

A: Given r=8+2cosθ and  P is a point at (r, θ) with θ=18π16=9π8 (a)  to find the  r coordinate of point…

Q: 4. Draw the polar curve defined by r= 3 –2 cos 30.

A:

Q: 3.3. Show that in a polar coordinate system, the distance d between the points (r1,01) and (r2, 02)…

A: The distance between r1,θ1 and  r2,θ2 is d=r12+r22-2r1r2cos θ1-θ2

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

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Q: Which is the graph of the polar equation? r = 3 cos 0 %3D 1 2 (0 from 0 to 27) 4 3 (0 from 0 to 27)…

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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: Match the graph with its polar equation. r = 2 sin(0) A/2 A/2 4 2 -2 2 4 - 2 2 - 4 A/2 3| л/2 2 1 1…

A: