a point has polar coordinates r = 8 and 0 = , what are the Cartesian pordinates of the point? rovide your answer below: (x,y) =

Q: Which of the following is the spherical coordinates of the point (1, v/3, 2/3) which is given by…

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Q: Find the rectangular coordinates of the point whose cylindrical coordinates are given. a) (3, pi,…

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Q: The cartesian coordinates of the polar point (1, n) is (a) (–1,0) (b) (1,0) (c) (0,1) (d) (0,–1) (e)…

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Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation,…

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Q: 2 The rectangular cererdinates of a paint are given as (-4, -3) . Find the polar courding tes for…

A: We know that in 2 dimensions a point in its polar coordinates is given by   (rcos(θ),rsin(θ)). Thus…

Q: Match the surface to its corresponding equation in spherical coordinates. 37 4 -3 -2 -1 0 1 2 3 3…

A: To solve this we have to find the relation of equation

Q: Find the polar coordinates, 0 0, of the point given in Cartesian coordinates: (4, −4). OA) OB)…

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Q: If the spherical coordinates (p, 0, ) of a point P are (1, 0,), then the Cartesian (rectangular)…

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Q: 1. Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD? W R ) 81 cm 58 cm O 100 cm…

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

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Q: Find a rectangular equation of the portion of the cycloid given by the parametric equations x = a(θ…

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Q: Which of the following is the spherical coordinates of the point (1, 3, 2,/3) which is given by…

A: Cartesian (x,y,z) to spherical (r,δ,θ) conversion formula.   r = (x2+y2+z2)1/2 δ = tan-1(z/(x2+y2))…

Q: 4. For each equation of a surface given in spherical coordinates, sketch the surface and describe it…

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Q: Convert the following quadric surface into spherical coordinates.

A: Convert the quadric surface into spherical coordinates.

Q: B/convert the points below to the polar coordination (r,e) 1. (2,-2V3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Write the equation for the sphere of radius 1 centered at the prigin in the each of the following…

A: The general equation of a sphere in cartesian coordinates is: x-a2+y-b2+z-c2 = r2 Here, r is the…

Q: Given the point (3,3√3)c, find a polar coordinate (?, ?) of the point where ? < 0 and 0 ≤ ? < 2?.

A: We have to find the polar coordinates for the point 3,33.

Q: Which of the following is the spherical coordinates of the point (0, 3, 1) which is given by…

A: In spherical coordinates  r= sqrt(x2+y2+z2). Theta= arctan (sqrt(x2+y2)/z). phi = arctan(y/x)

Q: Use polar coordinates to evaluate 2/2 dydx. 3 1 0, (x²+y?)? O 5 Оз 6 O 2 O 1 O 4

A: To determine: The value of the integral  using polar coordinates, ∫12∫0x22x2+y232dydx.

Q: Find a spherical coordinate equation for the sphere x² + y? + (z – 1)? =1 Select one: а. p = 3cos Ø…

A: Let us consider rectangular coordinates x,y,z and spherical coordinates ρ,θ,φ. Equations which…

Q: Use polar coordinate system to sketch and find the common arear = 2+ 2cos0 and x2 + y2 = 1.

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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: Use the parametric equations of an ellipse, D=5 cos(@), y - 4 sin(6), 0 O 27, to find the area that…

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Q: Given the polar coordinates (4,8π/4) determine (x,y). What is y=______. (round to 3 decimal)

A: Given query is to find the rectangular coordinates.

Q: Which of the following is the spherical coordinates of the point (1, /3, 2/3) which is given by…

A: Explained below

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

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Q: Find the exact length of the polar curve. r = e5?, 0 ≤ ? ≤ 2?

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Q: Which of the following is the spherical coordinates of the point (0, v3, 1) which is given by…

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

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Q: Find the rectangular, cylindrical and spherical coordinates of point P shown in the figure.

A: Spherical coordinates is Rectangular coordinates is cylindrical coordinates is

Q: Identify the surface whose equation in spherical coordinates is given by p = 2 cos o %D

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Q: Find the distance on the xy plane between the two points, given below as polar coordinates (7,…

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Q: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

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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: Find the projection of v = -7 onto the -2 e of R' given by the parametric equation e = tu, [-11

A: Introduction: The formula of projection of the vector v onto the vector u is given by the formula,…

Q: Find the exact length of the polar curve. r = e4?,    0 ≤ ? ≤ 2?

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Q: Use the parametric equations of an ellipse, x = 2 cos(8), y = 3 sin(8), 0 < 0 < 27, to find the area…

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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: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

A: We will use the conversation formulae from rectangular to spherical coordinates.

Q: Convert the following point from rectangular to spherical coordinates: ( -3/2 -3/6 (p, 0, $) =…

A: The given rectangular coordinates are x,y,z=-322, -362, -32

Q: (e) Graph the surface in R' whose spherical equation is p = cos 20.

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Q: Find a spherical coordinate equation for the sphere x²+y? +(z- 1)? = 1 Select one: a. P= cos Ø O b.…

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

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: thich of the following is the spherical coordinates of the point (0, 3, 1) which ven by rectangular…

A: We are asked to find the spherical cordinate