Practicesia Find the polar equation for the fotlowing radius and Center of the cincles:- radius center 3 (3,0) (2, T/2) (-1h,0)

Q: The rectangular coordinates of a polnt are glven. Plot the polnt. (6, 0) 10 10 -5 5 -5 -5 10…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 < 0 <…

A: To convert Cartesian equation into polar equation , put x=rcosθ, y=rsinθ in y=3x3 ⇒rsinθ=3 ×rcosθ3…

Q: Convert the rectangular equation to a polar equation. Express r in terms of 0. 6x+y =7 (Type an…

A: 6x+y=7

Q: Find the rectangular coordinates (x, y) that describe the image of the point with polar coordinates…

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Q: (x, y) of the point with polar coordinates What are the Cartesian coordinates (r, 0) = (4, 5 ) ? O…

A: Given (x, y) = 4, π6

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

A: (a)

Q: Sketch the polar equation r = 5cos20 for – and upload your sketch. Mark scales on both x- and…

A: We have to sketch the polar equation r=5cos2θ  for -π2≤θ≤π2.

Q: c{(a,b), r} circle of center (a, b) and radius r 2 2 (x-a)² + (x−b)² = r² Convert to polar…

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Q: Find two sets of polar coordinates for the point for 0 sO<2n. (r, 0) (-3, 0 (smaller r-value) %3D…

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Q: How to get the center of r = 6sinθ in polar coordinates. Need detailed explanation.

A: We have to find the centre of r= 6sinθ.

Q: Convert the rectangular equation (z+3)´ + (y + 13)*= 178 into a polar equation. No spaces. Use @for…

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Q: Evaluate ľºm vy I 1-x² x² + y² dydx.

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Q: The region shown at the right is bounded by portions of the y-axis, the line x = y, and the circles…

A: Given line is y=x  Inner circle radius=2 Outer radius=4

Q: Shetch the region in the plane consisting of points whose polar coordinates satsfy the given…

A: Shaded area is the required area

Q: 5n using the pencil. Plot the points with polar coordinates (-6, -a) and 4, 2n 3n SR 2. Jix Sn 4 Sx…

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Q: Evaluate ffRi dA, where R= {(r,y)|1<r² + y° < 9, z20, y 2 0} %3D (Hint: Use polar coordinates.)

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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: (c) How do you find the length of a polar curve?

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Q: duct z,z2 and the quotients 1 and (Express your answers in polar form.) Z2

A: We will solve the problem on complex numbers.

Q: 5Tn is given in polar coordinates. gular(cartesian) coordinates of the point are: (b) (1,1) (c)…

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Q: 1. (a) For the point (r, 0) = (3, T/2), find its rectangular coordinates. (b) For a point (x, y) =…

A: Relation between polar coordinates (r, θ) and rectangular coordinates (x, y) is given by, ⇒xr=cos θ,…

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a,…

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Q: he polar equation for circle x^2+(y- 3)^2 =9

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Q: Use spherical coordinates to evaluate V4-x² 4-x²-y² + y² + z² dz dy dx V4-2² Jo Do not forget to…

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Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

A: Given:r=eaθ,0≤θ≤π2,about θ=π2

Q: 37 Plot the point whose polar coordinates are -3, ). 4 options to change the snapping functionality…

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Q: (x,y) [Practice] Demonstrate the fact that the Jacobian (r, 0) convert from rectangular coordinates…

A: On converting from the rectangular coordinates to polar coordinates, the equations are, x=r cosθ,…

Q: Evaluate ²y dA where D is the top half of the disk, centered at the origin with radius 2.

A: The given integral is ∬x2ydA over the region D where D is the top half of the disk centered at the…

Q: Use a graphing utility to find one set of polar coordinates (r > 0, ose < 2n) of the point given in…

A: The given point is x,y=7,−2. Calculate r. r=x2+y2=72+−22=49+2=51=7.14

Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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Q: 7T What are the rectangular coordinates of the point with polar coordinates (r, 0) = [2, ? 4 (х, у)…

A: Given: r,θ=2,7π4

Q: Find the number of points of intersection of the polar curves r=2cos0 and r=1+2sin0. O 1 3 O 2

A: Number of point of intersection of polar curves r=2cosx and r=1+2sinx

Q: Does the origin lie on the polar curve r = 1 – 3cose ? Explain.

A: We will first plot the polar curve in the 2D (r,θ) plane with polar coordinates. We shall plot it…

Q: Consider a point with rectangular coordinates (x, y). If x 0 and s0 0 then the polar coordinates of…

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Q: 5. Evaluate ffi dA, where R= {(r, y)|1<r² + y² < 9, z20, y 2 0} %3D (Hint: Use polar coordinates.)

A: Given that, The double integration is, ∬xx2+y2dA Where,  1≤x2 + y2 ≤9,     x≥0,    y≥0 We have to…

Q: SHOW ALL WORK Change the polar coordinates, (r, 8) to rectangular coordinates, (x, y). (Leave…

A: Given the query is to find the rectangular coordinates.

Q: 2) The Cartesian coordinates are given for a point: (x, y) = (-3, –3/3). Find polar coordinates (r,…

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Q: b) Find the area of the triangle with vertices P, Q, R. c)Write down parametric equations for the…

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Q: Rewrite the Cartesian equation (x – 5)² + y² = 25 as a polar equation. r(0) = Preview %3D

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Q: Paove that the distane, b, points with between two polar coordinates (s, Bq) aud (s2,E2) is…

A: TO PROVE : THE DISTANCE BETWEEN TWO POINTS WITH POLAR COORDINATES s1 , θ1 AND s2 , θ2  IS…

Q: Consider the point with rectangular coordinates (-2, 2). State the coordinates of the point in polar…

A: Let x, y be a point on the x-y coordinate as shown below.  It can be converted to polar coordinates…

Q: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (4, 45°)? (x,…

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Q: (x, y) [Practice] Demonstrate the fact that the Jacobian (r, 0) convert from rectangular coordinates…

A: Concept:

Q: Determine the polar moment of inertia and the polar radius of gyration of the shaded area shown with…

A: Solution:- At x = 2a, y = 2a  y1=k1x2  2a=k12a2 k1=12a At x = 0; y = a y2=c+k2x2 c = a…

Q: 5T (4, 6. Given a point with polar coordinates (i) find rectangular coordinates (x, y) of the given…

A: Given point is We know that relation between polar coordinates and rectangular coordinates is…

Q: Find a parameterization for the line segment joining points (0,3) and (6,0) using the angle e in the…

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:  x = h +…

A: x=h+r cosθ , y=k + sinθ