1. Find the rectangular coordinates of the points whose polar coordinates are given. ( a) ( 6, π/6) (b) ( 7, 2n/3) (c) ( -6, -5a/6) (d) ( 0, -n) (e) ( 7, 17x/6)

Q: 1. Let (-V3, –1) be the cartesian coordinates of the point P. Find the polar coordinates (r, 0) of…

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Q: 12/2 Use polar coordinates to evaluate dydx.

A: The region is bounded by x=1,x=2,y=0 and y=x

Q: 1: Two points in the xy plane have Cartesian coordinates (2, 24) m and (23, 3) m. Determine a) the…

A: Given: Two points in the xy plane have Cartesian coordinates (2, 24) m and (23, 3) m. To Determine…

Q: Match the graph with its polar equation. r = 2 sin(0) 1/2 A/2 4 -2 -2 A/2 3- A/2 -1 1 2 4 -2 -1 1 2…

A: Topic :- Geometry Corect Answer= 3 r=2sinθr    θ0    01    π62     π20       π

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: 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: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: Find the rectangular coordinates of the point P with polar coordinates (4, А. Р%3D (-4,4) В. P = (--…

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Q: snip

A: Polar system is a two-dimensional system . "r" is the distance of the point from the origin .  θ is…

Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Two points in the xy plane have Cartesian coordinates (2.00, -4.00) m and (-3.00, 3.00) m. Determine…

A: Distance between two points is given as:…

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

A: Use the formula: x=rcos (u), y=rsin (u), x2+y2=r2   r (1 + 2 sin(u)) = 1r + 2r sin(u) = 1   Thus…

Q: (d) Find the parametric equation for the line segment from point P(1,3, 2) and Q(1, –1,6).

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Q: Find the rectangular coordinates for the point whose polar coordinates are given. 4, 3 (x, y) = |

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Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: Find the polar coordinates of a point with 7V3 7 Cartesian coordinates (x, y) = (-- 2 Select the…

A: To convert from cartesian coordinate (x,y) to polar coordinates (r, θ): r=x2+y2 θ=tan-1yx

Q: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

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Q: 3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0.

A: r = 2 r = 4 cosϴ

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

Q: Give polar coordinates for the points (given in Cartesian co-ordinates) (1, -V3), and (-1, v3)

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Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: 21. Represent the point with Cartesian coordinate (-1, 1) in terms of polar coordinates. (a) (vz.) .…

A: Given that  : (-1 ,1) x = -1 y = 1 Lies in 2nd Quadrant.

Q: (2. -) an he perch TC Plot the points with polar coordinates (-5, 2n) and 2, using the pencil. 7C 2n…

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions.

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

A: Given data: The given coordinate is (x,y)=(-6, 2(3)1/2). The expression for the polar coordinate is,…

Q: Give two polar representations for the point (x, y) = (0, 1), one with negative r and one with…

A: Check the polar representation.

Q: Convert the polar equation to rectangular form and sketch its graph. r = 3 sin(0) y 3.0 y 2.5 2 2.0…

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Q: Work out the product of 2cos60° x 3cos30° in polar and rectangular form.

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

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Q: 5. Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A: This question is about application line in 3d

Q: Convert the rectangular equation to polar form and sketch its graph. y = 6 6 T/2 T/2 12 15 10 8 10 4…

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Q: 4 4. a) Identify the conic section given by the polar equation and also determine 1-cos e its…

A: We convert the equation into rectangular form first This is a parabola.

Q: 2. The point (4,30°) in plane polar coordinates is equivalent to .. in rectangular coordinates. (a)…

A: Given polar coordinates is  (4,30°)

Q: The polar equation r=2, the Cartesian equation x+y = 4, and the parametric equations x=2sin(3t) ,…

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

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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: 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: What is the zero of polar equation r = 3+2cos(θ)?

A: Given polar equation is: r=3+2 cos θ To find the zero of the polar equation, we must have to put θ=0…

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: Convert the rectangular equation to polar form and sketch its graph. y = 6 a/2 7/2 12 15 10 8F 10 4…

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Q: Give polar coordinates for the points (given in Cartesian CO-ordinates) (1, -V3), and (-1, v3)

A: First, we have x,y=1,-3 The polar coordinate of a complex number is ρ,θ Now,  ρ=x2+y2 Therefore,…

Q: Plot the points with polar coordinates 2, TC and -6, using the pencil. 4 2n 3 3 4 6. 2. 4. 7n 11n 6.…

A: Given : (2, -π/2) and (-6, 7π/4)

Q: Find the polar equation for the Cartesian curve x² - y² = √√x² + y².

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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: 7. Convert the rectangular equation 3x – 4y = 5 into a polar equation.

A: The equation in rectangular coordinates is given by 3x-4y = 5 To evaluate : The equation in polar…

Q: 3.3. Show that in a polar coordinate system, the distance d between the points (r1,01) and (r2, 02)…

A: The distance between r1,θ1 and  r2,θ2 is d=r12+r22-2r1r2cos θ1-θ2

Q: Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

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Q: Write a polar equation of the formr cos(0 – 0) = ro for the line x - V3y = 2.

A: We have to solve given problem: