The graph of r = (sin 30) tan 0 is symmetric with respect to o the polar axis. o the pole. the line 0 2 the pole, the polar axis, and the line 0 2

Q: Use a graphing utility to graph the polar equation r = 1/(4 − 3 sin). Find an interval for over…

A: Consider the given polar equation By using a graphing utility, the graph of the function is

Q: The polar equation of the graph is either r= a+b cos 0 or a + b sin 0, a > 0, b > 0. Select the…

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Q: 95. a. Given points P(r,, 0,) and Q(r2, 0,) represented in polar coordinates, write the ordered…

A: (a) As we know the relation between rectangular and polar coordinates is given by…

Q: Find other polar coordinates (r, theta) of the point in polar form given (3, (5\pi /6) for which r <…

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Q: Let R be the region inside the polar curve r = 5 sin(50) and outside the polar curve T = 2 as shown…

A: Given that r=5cos5θ Since r=2 Then 2=5cos5θ So, θ=15cos-125 The aim is to find the area.

Q: Find the length of the following polar curve. The complete circle r= a sin 0, where a >0 The length…

A: Concept : given r ; the length of polar curve is ∫abr2+drdθ2dθ where a≤ θ ≤b given r= a sin(θ) as…

Q: Find the area of the shaded region, where the polar curve is given by r = 1+ sin(0). You may need to…

A: we have to find shaded region

Q: Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Any point on the polar coordinate system is represented by the ordered pair: r, θ. For a equation of…

Q: Consider the polar equations r= 3+2 cos(0) and r = 3+2 sin(0), whose graphs are shown below. 2- 1…

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Q: 9. Given the polar equation r = 1+3 sin 0. Test the polar equation for symmetry with respect to the…

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Q: a) Sketch r= 5 (1+ sin 0 )

A: (a) The given curve is: r=5(1+sin θ) Now, if  θ is replaced by π-θ then: fπ-θ=5(1+sin π-θ)…

Q: 3. Graph the polar equation r = 3 + 6 sin 0. What type of curve is this?

A: The polar equation r=3+6sinθ

Q: A Circle in Polar Coordinates Consider the polar equation r = a cos 0 + b sin 0. (a) Express the…

A: a) Multiply both sides by r.

Q: Given the polar curves r = 1- 2 sin 8 and r = -4 sin 8. Do the following: 1. Sketch the curves on…

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Q: 9. Name the polar coordinates of the point graphed below. 플 S Зл -0

A: Explained below

Q: Sketch the graph of the polar curve r = 1+3 sin 0 and calculate the area it encloses.

A: Given the polar curve is r=1+3sinθ.

Q: 3. Find the area of the region inside the circler-3 sine and outside the limacon r= 2 - sine. Sketch…

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Q: Find the lengths of the curves given by the polar coordinate equations r = -1 + cos θ

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Q: The graph of r= (sin 30) tan 0 is symmetric with respect to o the polar axis. o the pole. the line 0…

A: The graph is symmetric with respect to the polar axis if the r, θ can be substituted by r, -θ. This…

Q: Find the exact length of the polar curve. r = theta2,    0 ≤theta ≤ 7pi/4

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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: A. Sketch the polar curve using the graphing calculator. B. Find the interval of the parameter for…

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Q: Identify the name of the shape of the polar graph r= 5•cos(4·e) This polar function is a + with V…

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Q: Graph the polar equation and Identify the name of the shape.   r = 2 + 5 sin(theta)

A: given ,     r =2+5sinθ

Q: Consider the polar equation r = 9 +4 cos whose graph is shown below. (a) What is the distance…

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Q: Q1) A) Replace the polar equation r? sin 20 = 2 by equivalent Cartesian equation. B) Graph the…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

Q: 10) Given the polar equation r = 8 sin 0 a) Graph it, and b) Express it in rectangular coordinates.…

A: Given: r=8sinθ

Q: Q1) A) Replace the polar equation r? sin 20 = 2 by equivalent Cartesian equation. B) Graph the…

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Q: A curve with polar equation represents a line. This line has a Cartesian equation of the form y = mx…

A: To write the given equation in the form of y  = mx + b.

Q: Find the area and circumference of the circle represented by the polar equation r = 6 cos 0 using…

A: The given problem is to find the area of circle and circumference of the circle for the given circle…

Q: 19) Find the area of one leaf of the graph of the polar curve. (Give answer as reduced fraction) r =…

A: Please consider the handwritten solution.

Q: Given that a polar equation r = 3 sin(2θ). a. Show that the graph is symmetrical about x-axis,…

A: The given polar equation is r=3sin2θ. Symmetry about the x-axis: If r,θ lies on the graph, then the…

Q: Given the polar equation r = 1 + 2 cos θ. Find the intersection points between the curves r = 1 + 2…

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Q: The area of one loop of the graph of the polar equation r = 2 sin 30 Select one: 3 4 3

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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: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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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: Given the polar equation r 1- 8 sin(0) ' The eccentricity is e = The equation of the directrix is:…

A: We compare r=91-8sin(θ) with r=ed1-esin(θ)comparing we get e=8.

Q: Find the exact length of the polar curve. r = theta^2,    0 ≤ ,theta ≤ pi/4

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Q: The polar equation for the curve whose rectangu (a)rcos@sine =4 8. (b)r = sin 28 (c) =

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Q: The letters r and 0 represent polar coordinates. Write the given equation using rectangular coordin…

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Q: The polar equation r = 8 cos (30) graphs as a rose. What is the length of the petals of this rose?…

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

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

A: He ree e is the solution

Q: 1) (a) Circle ONE of the below equations and convert it from either polar to rectangular or…

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Q: Determine the x, y, r and angle (theta) values ​​of the problem below to determine the polar graph /…

A: To identify the Cartesian and  polar representation (r, theta values) for the given complex numbers

Q: Identify the name of the shape of the polar graph r= 6 sin(e)+8 This polar function is a

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Q: Identify the name of the shape of the polar graph r= 10 sin(3.0) This polar function is a with…

A: Rose curve: - There are2forms of rose curve equations: r = a cos(n) and r = a sin(n), wherever…

Q: Test for symmetry with respect to a. the polar axis, b. the line 0 =5, and c. the pole. 2- 64 sin 20

A: SOLUTION-                   Symmetry is a property that helps us recognize and plot the graph of any…