A particle is moving in a plane, and is at a radius vector r from the origin of a rectangular coordinate system, making an angle (theta) with the x-axis. Write the resolved components of r along the x and y axes then determine velocity of the particle in polar coordinates

Q: The point P has coordinates x = 1 m and y= -1 m relative to the origin O and the vector v is as…

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Q: polar curves intersect at right angles.

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Q: Convert ( – 2, 5) (cartesian coordinates) into polar coordinates. Assume r > 0 and 0 < 0 < 27.

A: Just using the rule of Cartesian into polar form and easily find the required solution. Final…

Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 < 0 < 27. (4, -4)

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Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) %3D 2

A: Given: The given Cartesian coordinates are x, y=932, -92. Let the corresponding polar coordinates be…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx(t) Lyct) =…

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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: 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: Consider the spherical coordinate point (3,1,) Convert to cylindrical coordinates.

A: we have the spherical coordinate point and convert into cylindrical coordinates

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) = (-V2, -V2). %3D

A: Given cartesian coordinates is i.e point lies in third quadrant.

Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (a) (-V2, 5x/4)…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: In using polar coordinates for plane curvilinear motion the time derivatives of the unit vectors e,…

A: In polar coordinates: x=rcosθy=rsinθz=z where, r=rr^θ+k^z

Q: #2) Convert each of rectangular pair coordinates to polar coordinates where r> o and o 4o < Zx. part…

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

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. x² + (y + 2)? =…

A: Given,  The rectangular equation  x2+y+22 = 4  We have to  convert it in polar equation in terms of…

Q: Convert the Cartesian coordinate (-3,2) to polar coordinates, 0 < 0 < 2n r = Enter exact value.

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Q: Find the polar coordinates ( r , θ ) of a point with Cartesian coordinates ( x , y ) = ( 5 square…

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Q: Find the Cartesian coordinates of the point (given in polar coordinates). (1, 0)

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Q: 8. Convert the point ( ) from Cartesian to Polar a) (1,) c) a.) b) G d) (L,프)

A: Given query is to find the polar coordinates of the point.

Q: Find the angle between the plane z=0 and the plane passing through the points (0, 0, 0), (3, 1, 0),…

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Q: Sketch the polar curve r = sin? 0.

A: We have given a curve; We have to plot the polar curve on;

Q: Find polar coordinates (r, 0) of this point with I with expressed in radians. Lets r > Oand 0≤0<2…

A: The objective is to find the polar coordinate.

Q: Find polar coordinates of the point whose rectangular coordinates are (0, -4). Express u in radians.

A: Given: x,y≡0,-4 we know that polar coordinate for given rectangular coordinatex,y is given by r,θ…

Q: Sketch the graph of the spherical equation ρ = 2 cos θ sin φ and write the equation in rectangular…

A: ρ=2 cosθ sinφ

Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

Q: Express the 2D Cartesian  point P(5,10) in Polar coordinates

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Q: Convert the point(r,o) from polar to nectangular COordinates ( Ca,s

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Q: Convert the rectangular coordinates (3, -3V3) into polar form. Express the: using radians in terms…

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Q: Derive the formula for the distance between points P1(p1,q1,z1) and P2(p2,q2,z2) given in spherical…

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Q: Find polar Ir>0 and Os0<2T. Coordinates of the points such that

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Q: Determine the length of the polar curve r = 2°, 0<0<.

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Q: Find two sets of polar coordinates for the Cartesian point (-1, -v3).

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Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

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Q: Convert the Cartesian coordinate (1,4) to polar coordinates, 0 < 0 < 27 r = Enter exact value.

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Q: Find the rectangular coordinates of the point (G) which is in spherical coordinates.

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

A: The given equation in the spherical polar co-ordinates is ρ=8cosϕ. In spherical polar co-ordinates,…

Q: Find the polar coordinates when r is positive and when r is negative

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Q: Find two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot…

A: I am attaching image so that you understand each and every step.

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

A: The given spherical equation is ρ=4cosθsinϕ To convert the spherical equation to cartesian…

Q: Convert the rectangular coordinates to polar coordinate in two ways: one with r>0 and one with r<0.…

A: The point given in the rectangular coordinate is (x,y)=(0,-6). Thus, we will have x=0, y=-6.

Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0s 0< 27. (6, 8)

A: Here we have to convert rectangular to polar coordinates.

Q: Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

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Q: Convert the Cartesian coordinate (4, 3) to polar coordinates, with 0 0 r = = %3D

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Q: Convert the rectangular coordinates to both Spherical and cylindrical coordinates; A (-1, 1, −√2)

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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: Identify the surface whose equation in spherical coordinates is given by p= 6 cos

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Q: Convert ( – 2, 5) (cartesian coordinates) into polar coordinates. Assume r > 0 and 0 < 0 < 2T. |

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Q: converts from cartesian coordinates (x, y) to polar coordinates (r, theta).

A: To convert Cartesian coordinate of any point (x, y) to polar coordinate (r, θ) We will use x = r…