Q1) Find the polar equation of the circle whose center has polar coordinates (a, 6,) and radius a. A) r = 2a sin(y – 0,) B) r = a sin(o – 00) C) r = 2a cos(p + 0,) D) r = 2a cos(o – 0,) E) r = a sin(o + 0,)

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A: In the question it is asked to draw polar curve for function r=2-2cos(θ).

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Q: Find parametric equations for each of the following. The circle of radius 2, centered at (0, 3, 0)…

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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…

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Q: 5 equally spaced holes on an 80mm pitch circle diameter. Calculate their co-ordinates relative to…

A: we know that, the total sum of angles in circle= 360 so now using this we will solve the question.

Q: (a) Find a spherical coordinate equations; for the sphere X²+y²+(z-1)²=1 and the surface…

A: (a)

Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

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A: The given question has been solved in detail

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

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Q: 1)Find the exact length of the polar curve r=2+2costheta

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Q: . In each part, find polar coordinates satisfying the state conditions for the point whose…

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Q: 36 A curve with polar equation r = 29 sin 0 + 7 cos 0 represents a line. Write the equation of the…

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Q: Let P(1, 2) and Q(-1, –2) be two symmetric points with respect to the origin. Find the parametric…

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Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…

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Q: 8) (Section 10.7) Eliminate the parameter and find the correspond rectangular equation for the set…

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Q: 9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes a sphere…

A: Given :  The equation ρ = 2 a sin ϕ  cosθ  .   To determine: The equation ρ = 2 a sin ϕ  cosθ  in…

Q: 1.Find the area of the triangle in the xy-plane with vertices A(n,n2, n3),B(m,m2,m,),C(r..). 2.…

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Q: a) Show that the polar equation r = a sin 0 + b cos 0, where ab # 0, represents a circle. Find its…

A: (a) The given polar equation of circle is - r=asinθ+bcosθ We need to find its center and radius . We…

Q: 4) The Cartesian coordinates for a point are (-1,-V3). Find polar co- ordinates (r, 6) for the point…

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Q: Find the polar equation of a hyperbola with eccentricity 2, and directrix y = 5. Select the correct…

A: We have to find the polar equation of the hyperbola with eccentricity 2 and directrix y=5.

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Q: A circle is specified in parametric form by x=7+3cosθ y=−8+3sinθ What are the coordinates of the…

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Q: Consider the rose curve with polar equation r = cos(20), whose graph is shown below. 0.5 -0.8-0.4서…

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Q: 1. Use the parametric equations of an ellipse, x = a cos 0, y = b sin 0, 0 < 0< 27, to find the area…

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Q: What is the rectangular equivalence to the parametric equations? x(θ)=2sinθ+1,y(θ)=3cosθ−2 , where…

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Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

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))…

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Q: Find parametric equations for the circle with center(h,k) and radius .

A: Find parametric equations for the circle with center(h,k) and radius r.

Q: Identify the surface whose equation in spherical coordinates is given by p = 8 cos %3D

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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: coordinates (-7,24), give three sets of polar coordiantes, two with positive angle measurements and…

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Q: Find the corresponding Cartesian equation of the parametric equation       x=3cosθx=3cosθ.…

A: Given:           x=3 cos θ,   y=4 sin θ            0≤θ≤2π From: x= 3 cos θ            cos θ=x3 From:…

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A: Coordinate Geometry Question

Q: 3. (a) Sketch the graph of the cardioid r=1+sin@ and the circle r= 3sin0. (b) Shade the region that…

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Q: 11.) Find a rectangular equation for the Surface whose Spherical equation is a sin ($) Sin (e)

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