The curve with polar equation $r=(\sin \theta) / \theta$ is called a cochleoid. Use a graph of $r$ as a function of $\theta$ in Cartesian coordinates to sketch the cochleoid by hand. Then graph it with a machine to check your sketch.

Q: 7. (-1,–x/6) 8. x2 - y? = 4

A: Given :7. ( -1, -π/6 )8. x2-y2=4

Q: Sketch the polar curve r = 2 sin 3θ by first sketching the graph of r as a function of θ in…

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

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Q: Sketch the graph of polar equation.Be sure to test for symmetry. r = 3 sin θ

A: Solution:Given          r= 3 sin θTo sketch the graph of polar equation test for symmetry

Q: Explain why the vertical-line test used to identify functions in rectangular coordinates does not…

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Q: Sketch a graph of the polar equation and find the tangent lines at the pole. r=4sin3(theta)

A: First, we will plot r=4 sin3θ with the help of an online calculator.

Q: Sketch the graph of the following polar curves θ= π/2 , for all r. What does it represent? Find it’s…

A: Graph of  θ= π/2 is

Q: Find a polar equation for the curve represented by the given Cartesian equatic y = 4

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Q: To test whether the graph of a polar equation may be symmetric with respect to the line θ = π / 2 ,…

A: Given that,  the graph of a polar equation may be symmetric with respect to the line θ = π / 2 .

Q: Convert the point (3,3 7) from polar coordinates to Cartesian coordinates. Give exact values. y =…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: To test whether the graph of a polar equation may be symmetric with respect to the polar axis…

A: To test whether the graph of a polar equation may be symmetric with respect to the polar axis…

Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: Ма Find the polar coordinates of the point whose rectangular coordinates are (-V3,3) and then show…

A: The given coordinate is  (x, y) = (-3,3)

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Sketch a graph of the polar equation r = 3 sin 2 and find the tangent line(s) at the pole (if any).

A: We have to sketch a graph of the polar equation r=3sin2θand then we have to find the tangent line(s)…

Q: To test if the graph of a polar equation may be symmetric with respect to the polar axis,replace θ…

A: To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace θ…

Q: Find the slope of the tangent line to the graphof the polar equation 1 TU r = at Ø 1-sino 6

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Q: To test if the graph of a polar equation may be symmetric with respect to the line θ = π /2 ,replace…

A: We fill the blank space as

Q: Find the slope of the line tangent to the polar curve at the given points. r=3cos2(theta); at the…

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Q: How do we graph a polar equation?

A: To draw the graph of a polar equation, find the symmetry of the given equation. Test the symmetry…

Q: Given polar equation is 1+sin 0

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Q: Plot the point whose polar coordinates are given. Then, find two other pairs of polar coordinates…

A: Given,  The polar coordinates of the point 3, -π3  We have to plot the point and find two other…

Q: A spiral can be easily graphed using polar coordinates (which you may have learned in pre-calculus),…

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Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

Q: Find a polar equation for the curve represented by the given Cartesian equation.

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Q: 4. Sketch the curve with the polar equation r=3-4cos(theta). Show your work by creating a table of…

A: We will make a table first θ (r,θ) 0 (-1,0) 45 (0.17,45) 90 (3,90) 135 (5.83,135) 180…

Q: Illustrate what are the intersections of polar curves?

A: Question- Illustrate what are the intersections of polar curves? Answer- If the equations are…

Q: There are many ways to express an ordered pair using polar coordinates. What is is not an accurate…

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Q: When given a point in polar coordinates, there is only one possible set of Cartesian coordinates…

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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: Sketch the polar curve with the given equation "= -4 cos 0, - TSOST.

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: We have to sketch the graph of the polar equation using symmetry, zeros, maximum r- values, and any…

Q: r2%3D16 sin 20

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Q: graph a corresponding polar curve of r= ftheta in the right side

A: We are given the following curve r=fθ. We can write the above function to be r=2, 0≤θ<π24,…

Q: A point is graphed in polar form. Find its rectangular coordinates.

A: Coordinate of S in Polar form,2, 5π6⇒ x = 2 cos 5π6 = -3     y = 2 sin 5π6 = 1

Q: A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve…

A: Radius of fixed circle a=2 Radius of rolling circle b=1 ∠ICP=φ   aθ=AI=PI=Bϕ…

Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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Q: Define polar form.

A: According to the question, we have to define the term ''polar form''. In mathematics, the polar…

Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 2 =-4 sin 20 %3D y

A: We are given the polar equation . Let us plot the figure.

Q: Describe the test for symmetry with respect to the polar axis.

A: The graph of a polar equation is symmetric with respect to the polar axis if replacing r, θ with r,…

Q: Find the slope of the polar curve at the indicated point. r = 1 - sin θ, θ = 0

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Q: 7. What is the equation of the curve in rectangular coordinates whose equation in polar coordinates…

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Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

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Q: To test whether the graph of a polar equation may be symmetric with respect to the pole…

A: The polar equation is (r,θ)