7. The Cartesian coordinates of a point are (-1, 3). (a) Find polar coordinates of the point withr > 0. (b) Find polar coordinates of the point withr < 0. (c) Find the polar coordinates of the point with 0 < 0

Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

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…

A:

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

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Q: (a) Find parametric equations of the portion of the circle of radius 2, centered at (1, 2), joining…

A: Result: The parametric equation of circle centered at h, k with radius r oriented counterclockwise…

Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

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

A:

Q: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…

A: We have to draw graph of given curve.

Q: 1 Find parametric equations for the path taken by a point the distance between the centre and the…

A: The given question has been solved in detail

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

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Q: 1) For the point with polar coordinates 9. determine three different sets of 7 Зл coordinates for…

A: We have to write same polar coodinate (r,theta) in different ways:

Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

Q: 16 (1+ v3) ( v3-1)" Evalute 7 by de Moivers theorem, using polar form calculations.

A: Note  your Question is wrong because in numerator imaginary part missing  so i  try to solve this…

Q: 7. Test the polar equation r = for symmetry with respect to the polar axis, the pole, 1+3 cos 0 and…

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Q: 13) Sketch the graph of the polar equation r = 2. Label two points. %23

A: It's equation of circle. So I'm providing hand written solution for better understanding.

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

A: make a table values to graph the function

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

A:

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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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: Plot the point -5,- given in polar coordinates, and find other polar coordinatos (r,0) of the point…

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Q: Replace the Cartesian equation with an equivalent polar equation. x2-y2=4 O cos2e - sin20 = 4 O r…

A: 1. x2-y2=42. r2=26r cosθ-6r sinθ-9

Q: cosh (0.375-j0.485) express in polar form

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Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: Sketch the curve r-4 sin 30 with the given polar equation by: first sketching the graph of as a…

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Q: Plot the polar point. (25. 푸) 4 2 3 4 2 4 4. 2. klN 3. 3.

A: To plot the given point

Q: 1. find the polar coordinates for the Cartesian coordinates  (-3,3)

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

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: 2. Find two polar representations for the point having cartesian coordinates (6V3,6). One of your…

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Q: Find the exact length of the polar curve. 3 sin(0), 0 < 0< 1/2

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

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Q: What are the polar coordinates (r,θ) of the points of intersection of C1 curve with polar equation…

A: It is given that, It s known that at the point of intersection equation of both curves satisfies…

Q: • Make your own artwork on symmetry • 1 artwork - symmetric with respect to 0 = ", (y – axis) | 2 •…

A: The solution is given below

Q: 6 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers…

A:

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

A: The given polar equation is r=2-sin2θ. Draw the graph of the given polar equation in detail.

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: 8. the same graph as the polar equation r-6cos0 =0 and graph on the xy plane. Find an equation in x…

A: The given polar equation is r-6cosθ=0 The equation in x and y is to be calculated and graphed in the…

Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

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Q: Find the points at which the polar curve r= 5+ 10 sin 0 has a horizontal or a vertical tangent line.…

A: the equation of the given curve in polar form is: r=5+10sinθ we have to find the points to the curve…

Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

Q: # 6. Explain why the graph of the polar curve r = is a hyperbola. 2-4 sin 0 Where is the focal…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: r2%3D16 sin 20

A:

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

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Q: 5) Identify the curve a Cartesian equation for the curve given in polar coordinates by r = 4sin 6 by…

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Q: 20. Find two polar coordinates representations for the rectangular coordinate point (-6, 2/3), one…

A: Given: -6,23

Q: 3) Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: r=3 sin 3θ.

Q: The graph of the polar equation r(0) = 0 cos(0), o ses. with derivative = cos(e) – 0 sin(0), is…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…