Use a calculating utility, to approximate the polar coordinates of the points whose rectangular coordinates are given. (а) (3,4) (b) (6, -8) (c) (-1, tan"' 1)

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. ²=5y (Type an…

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

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

Q: True or False? Do the polar coordinates (2, 7/6) and (-2, 7T/6) represent the same point?

A: Lets convert the given polar coordinates into cartesian coordinates and check The relation between…

Q: Convert the point (-7 3, 7 V3) from Cartesian coordinates to polar coordinates for 0 <0 < 2m. Give…

A: The given point -73, 73

Q: (-5, -z/6) 2 2 -4 -2 -4 -2 -2 -2 -4 -4 -2 4. -2 -2 2. 2. 4. 2. 2. 2. 4.

A: -5, -π6 The graph is,

Q: If a point has polar coordinates r = 3 and 0 = 3 what are the Cartesian coordinates of the point?

A: Given, The polar coordinates of point r = 3   and  θ = 5π3  We have to find the cartesian…

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 point with Cartesian coordinates (2, 4) = (-4,4). Give two different representations of…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. = sin(30)…

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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: True or False The tests for symmetry in polar coordinates are necessary,but not sufficient.

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Q: 9- Give five examples about application of polar coordinates in real life

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Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…

A: Find the direction vector of the line using the two points

Q: Plot the point that has the given polar coordinates. (-2. --) R/2 R/2 R/2 R/2 Give two other polar…

A: Using the formula (-r,θ)=(r,θ+π)-2,-π3=2,π-π3=2,2π3Using the formula…

Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

Q: Find the polar coordinates of a point with Cartesian coordinates (x,y)=(9√3/2,9/2). Select the…

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Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: Given: Point (-6, -8, 2) and plane: xz-plane  To Find: Set of parametric equations of the line…

Q: All the polar cordinates of the point (4,) are: ()(+2nx) and (-4, + 2nn) ()(4+2nn) and (-4, n) (e)…

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Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: we know that parametric equation of line which passes through given point r0x1,y1,z1 and have…

Q: 12) Convert the point given in rectangular coordinates to polar coordinates: (-6,0).

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Q: The origin in rectangular coordinates coincides with the............ in polar coordinates; the…

A: we have been given blank statement we have to fill it. Statement : The origin in rectangular…

Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

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Q: 11π -7,- Convert the ordered pair in polar coordinates to rectangular coordinates. Use exact values.

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Q: b. Express the point in at least two different ways. (Since polar coordinates are not unique.) (2)-(…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 2 + 2 sin(0)…

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Q: Do a complete analysis to determine the points of intersection of the polar curves r = 4 sin 0 and…

A: We need to find the points of intersection. So,              4sinθ=1+2sinθ⇒sinθ=12⇒θ=π6+2πn,…

Q: Plot the point in polar coordinates. (6, π/2) y y 10| 10 (6, л/2) 5 (6, π/2) X X -10 -5 10 - 10 -5…

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Q: find parametric equations for the lines with the given description.  Passes through (1, −1, 0) and…

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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: Sketch the curve represented by the parametric equations (indicate the orientation of the curve).

A: We plug different values of t to find x and y, then plot the graph according to these points.

Q: Determine two pairs of polar coordinates for the point with 0° < 0 < 360°. (-3-2, -3 2) O (6, 225°),…

A: We know that cartesian (x,y) in polar form is (r,θ)Where r=x2+y2 and θ=tan-1(yx)So,…

Q: Find the parametric equation and symmetric equations for the line passing through the points (2, –2,…

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Q: Plot the polar point. (+.똥) 2 2 3 4 3 4 2 2 2 3 4 5 2 3 4 2. 2.

A: 1,5π6

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

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Q: Convert the point (2,-1) from polar to rectangular to coordinates

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

A: The solution is given below

Q: match the polar coordinates:  (3,0)  (3,π) (3, π/2)  (3, π/4) (-3√2, (-3π/4)) (-3, (3π/2))…

A: Polar coordinates:  (3,0) , (3,π) , (3, π/2) , (3, π/4), (-3√2, -3π/4), (-3, (3π/2)), (3,3), (3√2,…

Q: Find the polar coordinates (r, θ ) of the point whose rectangular coordinates are (x,y) = (-4,4).…

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Q: Give all possible polar coordinates for the point (4, –4/3) given in rectangular coordinates. 2n +…

A: Here, we will use  the formulas x=rcosθ and y=rsinθ.

Q: Plot uie points with polar coordinates (3, –n) and -6, 3 *) using the pencil. 2 4. 6.

A: The polar co-ordinates are of the form (r,θ)  To plot the polar points it is necessary to find  θ…

Q: a) Convert the point whose polar coordinates are (8, 3π/4) to rectangular coordinates. (x, y) =…

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Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

A: Given : rectangular coordinate ( -4 , 5.66 ) Now we find Polar coordinates

Q: 11) Convert the point given in polar coordinates to rectangular coordinates: (-2, –). 11.

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Q: Convert the polar point (2, 27/3) to an equivalent polar point where r < 0 and 0 < 0 < 2ñ. OA (2, —…

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Q: What are the rectangular coordinates of the polar coordinates (3/2,- )? Enter your answer in the…

A: To find- Rectangular coordinates( x , y ).

Q: Select two different sets of parametric equations for the rectangular equation. 7 y =

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Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

A: Given

Q: roblem 1: onvert from rectangular to polar form: a) 2 + 2v3i b) 3- 4i =) V3 - i

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

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