5. Replace the Cartesian equation given with an equivalent polar equation. a) x? + y? + x = x? + y2 b) 4y2 = x

Q: Explain why in spherical coordinates the graph of = c is a half-plane and not an entire plane.

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Q: Consider the point (1, 7/4, t/3) in spherical coordinates. (a) Plot the point, labeling each length…

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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: pont are 2u3,-205) Find two sits of polar oordinates for the point with the rectang ular coordinates…

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Q: Convert the Cartesian coordinates (5,1) to polar coordinates with r>0 and 0≤θ<2π. r= √26   Enter…

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Q: Write the polar equation r= 4cos 0 in rectangular form.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Sketch the set of points that are described in spherical coordinates where: TT pS 2, 0<0<2' 2 くp<T

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Q: Convert the coordinates as indicated (3,TT/3, -4) from Cylindrical to Cartesian.

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Q: Sketch the following polar rectangle. 2x = {(r,0): 4sr5,

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 312 7]. r = csc Oer r cose…

A: Given that  r=cscthetae^(rcostheta) To convert the polar coordinates into Cartesian equation

Q: , A) Replace the following polar equation by equivalent Cartesian equation: rcos 3

A: we have to replace the following polar equation by equivalent Cartesian equation

Q: What are the rectangular coordinates of the point with polar coordinates (r, 0) = (2, 45°)?

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Q: Convert the following quadric surface into spherical coordinates.

A: Convert the quadric surface into spherical coordinates.

Q: Cannot solve

A: To convert rectangular equation into polar equation put x = r cosθ and y = r sinθ then rearrange the…

Q: Replace the polar equation with an equivalent Cartesian equation. r= 3 cot 0 csc e Oy= 3x2 Oy = 3x 3…

A: As per our guidelines we are supposed to answer only one question and rest of it reposted.

Q: Convert the following point from spherical to rectangular coordinates: 5, 4' 6 (х, у, 2) —

A: Use the following equations to convert spherical coordinates ρ,θ,φ to rectangular coordinates x,y,z.…

Q: The Cartesian equation equivalent of polar equation r = 4tano seco is y y = ²² True False O

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Q: The Cartesian equation equivalent of polar equation r = 4tane sece is y True False O

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Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: Q5: Replace the Cartesian equations with equivalent polar equations. 1- (x - 5 )2 + y? = 25 2- (x +2…

A: we have to convert Rectangular into polar equation

Q: If a point is represented as (x,y) in the Cartesian plane and (r,0) in the polar plane, then 0 = tan…

A: A point in cartesian plane is (x,y) and (r,θ) in the polar coordinate, then θ=tan-1yx.

Q: 2- Write two examples about converting from rectangular (x,y) to polar form(r.)

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Q: Replace the polar equation with an equivalent Cartesian equation. r = 2 cot e csc e O y = 2x Oy= 2x2…

A: Topic - polar to cartesian conversion Note : as per Bartleby Guidelines,we are supposed To fo first…

Q: What are the polar coordinates (r, 0) of the point with Cartesian coordinates (x, y) = (v2, – V2) ?…

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Q: Show that the polar equation r = asin(θ)+ bcos(θ), where ab≠0, represents a circle, and find its…

A: We have to proof

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 3]. r = 4 tan O sec 0

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Q: 1. Consider a point in Cartesian coordinates given by (-2,2√//3, 4). (b) Find a corresponding…

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Q: Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u.

A: The relation between polar coordinates r,u and rectangular coordinates x,y is x=rcosu…

Q: 2. Give the corresponding rectangular coordinates for-the given polar coordinates. 11T 7 (b) (4,3x)…

A: Given points in polar coordinates, we need to convert them into rectangular coordinates.

Q: / 2-Replace the Cartesian equations with equivalent polar equations. 1]. x-y? =1

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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: (d) Convert the following point from rectangular to spherical coordinates: -3/6 -3/6 -3 2 (р, 6, Ф)…

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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: Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

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Q: What would be the angle to a point at coordinates ( 5, -5 ), rounded to the nearest degree, based on…

A: x, y=5, -5

Q: The point specified by the polar coordinates (7.00, 35.0°) is following when converted to Cartesian…

A: Calculating the cos and sin theta  cos(35o) = 0.81915sin(35o) =0.5736

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0) -…

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Q: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (10, 45°)?

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Q: The point specified by the Cartesian coordinates (3, 5) is whic of the follow when converted to…

A: The point specified by the Cartesian coordinates is (3,5)

Q: see attachment

A: We have to convert (-6, -4pi/3) to positive values. First add 2pi with angle to make it…

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

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Q: Which Cartesian equation is equivalent to the given polar equation? 3 r = sin 0 +7 cos 0 O y + 7x =…

A: We have to find Cartesian equation of given polar equation.

Q: see attached

A: We first have to find equivalent position as -4pi/3 We add 2pi with it to get it.So we have to plot…

Q: Replace the polar equation r^2 =-2rcostheta by an equivalent Cartesian equation.

A: Given:- r2 = -2r cos(θ)  To find:-  Cartesian equation of given polar equation

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

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Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

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Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: If the cartesian coordinates of a point are given by (3, y) and its polar coordinates are (r, 60°),…

A: This question can be solved using the concept of polar coordinates.

Q: Convert the following point from spherical to rectangular coordinates: (17) - 4 4 (x, y, z) =

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