5- Graph the polar curve given by: r=2 +4 cos 0. Give the range of 0 in which the inner loop is formed.

Q: 3. Find the cartesian equation of r cos 0 = -4 and identify its graph.

A: To find the Cartesian equation of rcosθ=-4 and identify its graph. Solution: In Cartesian…

Q: Find the exact length of the polar curve described by: 9e -0 on the interval

A:

Q: 55. Find the polar coordinates of the points on the lemniscate r2 = cos 20 in Figure 24 where the…

A:

Q: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: 6) Graph in polar coordinates r = 1+ cos 8.

A: We have to plot the graph of the given function in polar co-ordinate.

Q: Draw the polar curve r = cos(30) with its orientation. Set up all integral to evaluate the length of…

A: First, find the node to the polar curve by equating r = 0, so cos(3θ)=rcos(3θ)=0(3θ)=-π2,π2θ=-π6,π6…

Q: How many petals are there in the graph of the polar equation r = 2 cos3@ ?

A: Draw the polar curve

Q: Find the area of the inner loop of the limaçon with polar equation r = 2 cos 0 – 1 (Figure 21). -1…

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Q: Use a graphing utility to graph the polar equation. Inner loop of r 3+6 cos(8)

A: Clearly we can see that r = 0 at cos(theta) = (-1/2). Hence the inner loop will be at the right…

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

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

A: r = 2 r = 4 cosϴ

Q: 1)Find the exact length of the polar curve r=2+2costheta

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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 value to graph the function

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

A:

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: compute the length of the polar curve.  The cardioid r = 1 − cos θ in Figure 16

A: compute the length of the polar curve.  The cardioid r = 1 − cos θ

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: 6. Consider the curves: r = 2+ cos 20 and r = 2+ sin 20, a) Sketch a graph of both curves on the…

A:

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

A:

Q: 16) (10.) Find three ordered pairs (r, 0) on r = 2cos(30) and sketch the graph of the polar…

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

A:

Q: 37 r cos 0 =4, and rsin0=-3 on the same axis system. (polar) Graph 0 =

A: Here we put the value of theta in the given 2 equation and after that, we will sketch the graph on…

Q: Identify the type of polar graph. r = 5(1 - 2 cos(0))

A: Introduction: The limaçon is a form's polar curve. r=b+acosθ is also known as Pascal's limaçon.

Q: 3. Graph the polar equation and find the area of the region. Between the loops of r = 2 – 6 cos 0

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Q: What type of limacon is the graph of the polar equation given by r = √3+ cos 0? O Limacon with a…

A:

Q: Consider the rose curve with polar equation r = cos(20), whose graph is shown below. 0.5 -0.8-0.4서…

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: Find the smallest interval for θ starting with θ min = 0 so that your graphing utility graphs the…

A: Consider the given polar equation, r=4sin2θ use the Desmos graphing calculator to graph the…

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

A:

Q: 1. How many petals does the polar curve r=5cos(6theta)?  2. At what points the curves…

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 5 cos(6) 2

A: To find the length of curve

Q: The area of one loop of the graph of the polar equation r= 2 sin 30 is Select one:

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Q: 1. Sketch the graph of point P with the (2.) a. 4 2. Find the polar coordinates that correspond to…

A: We have yo plot the point P(2,3π/4) on graph

Q: compute the length of the polar curve. r = cos2 θ

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Q: Find the exact length of the polar curve. r- e88, ose s 2n

A: The arc length of a polar curve r = f(θ) between θ=a and θ=b is given by the integral L=∫abr2+drdθ2…

Q: Compute the length of the polar curve 702 for 0 s 0 < 4.

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Q: Sketch the graph of r = a(1 – cos8) In polar coordinated , assuming a is a positive constant Is 2.…

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Q: Which of the following is one of the points of intersection of the polar curves r = 3 cos @ and r =…

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Q: Find the exact length of the polar curve r=cos^4(?/4)

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Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: Use a graphing utility to graph the polar equation. Inner loop of r = 5 + 10 cos(0)

A: Given  r=5+10 cosθ

Q: Find the exact length of the polar curve r cos (0/4). Length = CS Scanned with CamScanner- %3D

A: In this question we have to find the length of the polar curve.

Q: Which of the following shows the correct sketch of the polar curve r= -5 cos(0)? 61

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

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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: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: 40 cos*“for 0 < 0<m

A: