Find a polar equation of the coni with a focus at the pole, eccentricity e = and the directrix = -3sec Ø 3+ cos Ø B 3-cos Ø 2+ cos Ø 3 r = - 2- cos Ø

Q: Use the identity cos 20 = cos² 0 – sin² 0 to find a polar equation of the hyperbola x² – y² = 1.

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Q: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

Q: (1 point) Suppose that C is the curve defined by the polar equation r = 2 +4 cos 0 (called a…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Find an equation in rectangular coordinates for the curve r^2 = cos 2θ.

A: We know that, the relationship between polar and rectangular co-ordinates are given as r2=x2+y2…

Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one…

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

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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: In math land, there is a clock. The hour hand of this clock is 1 ft long. However, the clock is…

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Q: 18 Sketch a graph of r .Use the graph to write a Cartesian equation for the 5+ 4 sin(0) conic.

A: Sketch the graph of the conic r=185+4sin θ using a graphing calculator as shown below.

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: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

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

A: Draw the polar curve

Q: Find the polar equation for a parabola with its focus at the origin and whose directrix is y = -a…

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Q: Graph the line and conic section. r = 1/(1 + 2 cos u)

A: To graph r  = 11 + 2 cos u.

Q: Find the slope of the line tangent to the polar curve at the given point. 11n r= 4 sin e; - 2,-

A: Given,            r=4sinθ ; -2,11π6

Q: Identify the conic section and graph the polar equation: r = 2/(1 - cos θ)

A: The given polar equation is r=21-cosθ Here, the given equation can be ellipse, parabola and…

Q: Find the length of the spiraling polar curve 69 个= 3e From 0 to 2T The length is

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Q: Identify the conic that the following polar equation represents. 5 r = 10 + 5 sin 0 Select the…

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Q: Calculate the length of the polar curve r=1-sinθ on the given interval (0,2π).

A: In the given question we have to find the length of the polar curve on the interval . Concept:…

Q: 3 Identify the conic represented by the polar equation r 1 Find the rectangular equation. 2 cos 0

A: Given equation, r=31-2cosθ                              ....(1)

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: Identify the conic that each polar equation represents.Also,give the position of the directrix.

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Q: Assume the center of the motion is the origin, the motion is counterclockwise and that t = 0…

A: This is basic equation of motion problem

Q: Describe the graph of the equation. r = 10 sin 17ri+ 10 cos 17t j O Itis a circle of radius 10 in…

A: Solution :-

Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…

Q: In math land, there is a clock. The hour hand of this clock is 1 ft long. However, the clock is…

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Q: 11. Write a polar equation of a conic with the focus at the origin given the following:…

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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: Find the polar equation of a hyperbola with eccentricity 2, and directrix y = 5. Select the correct…

A: We have to find the polar equation of the hyperbola with eccentricity 2 and directrix y=5.

Q: Consider the polar equation of a conic. Determine the eccentricity. -5 r = 1 + cos(0) e =

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Q: convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if…

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Q: find the slope of the tangent line to the polar curve at the point:

A: From the given expression we find

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: Consider the polar curve r=2sin(30) for 0s0sn.

A: Given polar curve is r=2sin3θ for 0≤θ≤πfind the area of the region inside the curve

Q: Find the area of the region inside one leaf of the polar graph: r = sin4x

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Q: Calculate the length of the polar curve r=1- sin Oon the given interval (0, 2m].-

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Q: Find the equation in xx and yy for the line tangent to the curve in polar coordinates…

A: Given that, the value of r=5+cos2θ and θ=π3. rθθ=π3=5+cos2π3=5+-12=92 Note that, the equation of the…

Q: Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity…

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Q: 1 Sketch the curve r=-+sin0 cos 0 ,0 < 0<2n in the polar plane.

A: Any point on the Cartesian coordinate system is represented as x, y. Any point on the polar…

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

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Q: Calculate the length of the polar curve r =1- sin Oon the given interval [0,2m).

A: The arc length can be calculated using the formula L=∫abds. Here, a and b are the upper and lower…

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: While playing at the Nawaka Sevens, four of the rugby players are observed to be located at the…

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Which of these is the polar equation of a ellipse with eccentricity , and directrix æ = 5? Select…

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Q: Calculate the length of the polar curve r = =1-sin Oon the given interval [0, 2m].

A: Given the polar curve r=1-sinθ over the interval 0,2π