5. a) Convert points P(1,3,5), T(0,–4,3), and S(-3,-4, –10) from Cartesian to cylindrical and spherical coordinates.

Q: Show that the points A = (1, 2), B = (1,0), and C = collinear and express P = (-7,0) in barycentric…

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Q: 43/2-x f(x,y,z) dzdydx is rewritten in spherical coordinates as g(p.p,0) dpdwde, then…

A: By integral, x2+y2⩽z⩽43-x2-y2----1 0⩽y⩽43/2-x2------2 0⩽x⩽43/2----------3

Q: Convert from the Spherical Coordinate to the Cylindrical Coordinate AO 3 3 37 2 2'2 BO 3' 2 Co 3 3 3…

A: Conversion of spherical coordinates to cylindrical coordinates

Q: Convert to spherical coordinates. √9-x2 3 St. Sort So √x² + y² [x² + y² (1) Z aretan, dzdy dx

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Q: (3, 7 ) Convert the spherical point (p, 0, $) to Cartesian coordinates.

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Q: Match the surface to its corresponding equation in spherical coordinates. |p = 4 cos() 1.5 -1 -0.5 0…

A: To match the given surface to their given Equation in spherical coordinates.

Q: Given the point (V3, ,-1) in cylindrical coordinates, what are the spherical coordinates (p, p, 0)…

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

A: Cylindrical (ρ,θ,z) to cartesian (x,y,z) conversion formula is -: x = ρ × cosθ  y = ρ × sinθ  z = z…

Q: 3. Sketch the points determined by the following. (a) Iz+1-i = 2 %3D (b) Im(2z +i) +1=0

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Q: d) If S is projected onto the x - y plane, what is the shape of the resulting projection?

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Q: Which of the following is the cylindrical coordinates of (-1,-V3,2)? Oa (4, 품, 2) O b. (2, 5,2) O…

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Q: Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and

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Q: 8. Find a parametric representation of the line through the point P(1,0,4) and perpendicular to the…

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Q: 5. Use spherical coordinates to evaluate /16--2² Not √16¬x² / √x² +yª √x² + y² + z² dz dy dr.

A: The given problem is to evaluate the given triple integral by converting the Cartesian coordinates…

Q: Which of the following is the cylindrical coordinates of (-1, 3,-2)? Oa (2, 즐,-2) O b. (2, ,-2)…

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Q: In three dimensions, the cylinder x? + z2 – 10x – 6z – 2 = 0 has radius k i +tj+ and the axis line…

A: Radius =6  r(t)= (5+6cos(thetha))i+tj+(3+6sin(thetha)k

Q: Which of the following is the cylindrical coordinates of (-1, -/3,2)? O a. (2, 품, 2) O b.(2, – 5, –…

A: Explanation of the answer is as follows

Q: 2. Convert 1,1, 2 |from rectangular coordinates to spherical coordinates. a. e. я я 2. 4' 2 4' 4 (2)…

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Q: Transform (0, 5, 2) from rectangular into spherical form (here z is any negative number).

A: given rectangular coordinates is of the form (x, y, z) are (0,5,z) Now we are going to find…

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

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Q: 2.1 Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2,5, 1)…

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Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  x2…

A: Solution:- x2-y2=4 x=ρ sinφ cosθ y=ρ sinφ sinθ   ρ sinφ cosθ2-ρ sinφ sinθ2=4 ρ2 sin2φ cos2θ-ρ2 sin2φ…

Q: Express the following points in cylindrical and spherical coordinates: (а) Р(1, — 4, — 3) | (b) Q(3,…

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Q: 5. Evaluate /9 z² y² yVx² + y? + z² dzdrdy by converting to spherical coordinates.

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Q: describe the given set in spherical coordinates x2 + y2+ z 2 ≤ 1

A: Given: x2+y2+z2≤1 Spherical coordinates: x,y,z→ρ,θ,ϕ ρ2=x2+y2+z2

Q: 5. Use spherical coordinates to evaluate r2+ y2 +22 dz dy dr. 16-

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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: 1) Use spherical coordinates to evaluate 4-y² c4-x²-y² 4-x2-y2 Li L y²/x² + y² + z² dzdxdy

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Q: Is it true or false that (V2, , 3) is the cylindrical coordinates of a point A whose cartesian…

A: Find the solution below

Q: In spherical coordinates, the integral •√√4-x²-y² IMM x² /4-22 None of these. 2π *π/2 2 S √²* [*¹²*…

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Q: *3.22 Convert the coordinates of the following points Cartesian to cylindrical and spherical…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: 1. Find the distance from the center of the sphere given by (x-2)² +(y+2)²+(z-1)² = 4 to the point…

A: Given equation of the sphereis x-22+y+22+z-12=4So center of the sphere be 2,-2,1and the given…

Q: Which of the following is the cylindrical coordinates of (-1, 3, -2)? O a. (2, 플, 2) O b. (4, 품,-2)…

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Q: Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2, 5, 1) (b)…

A: Solution:-

Q: Which of the following is the cylindrical coordinates of (-1, –/3,2)? O a. (4, 품, 2) O b. (2, 플, 2)…

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Q: Transform the vector C = cospâ – sinpô + cospsinp2 into spherical coordinates and then evaluate it…

A: Given cylindrical co-ordinates system as                                               we know that…

Q: Transform C = cos p a, - sin p a, + cos p sin p az into spherical coordinates and then at P (2, T/4,…

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Q: 5. Find the coordinates of the point P(2,4) with respect to the translated axis with origin at…

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Q: 1) Find the distance from the point (1, 2, 3) (a) XZ plane to the (b) Z axis

A: In this question we will use basic of geometry i.e concept of 3D geometry. We will first plot the…

Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

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Q: 5. Convert the integral 9-x2 9-x²-y² Vx? + y? + z² dzdydx to spherical coordinates then evaluate.

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Q: Convert the following point from rectangular to spherical coordinates: -5/2 -5/6 -5/2 4 4 (p, 0, 4)…

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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 cylindrical to rectangular coordinates: (x, y, z) = (5.5.-9) 5, 2

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Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in…

A: D=(-4, 5, 3)Vector A=y ax +(x+z)z  ay +0  azρ=x2+y2  =(-4)2+(5)2ρ=41ϕ=tan-1yx…

Q: (b) Use spherical coordinates to evaluate l y²dV_where E is the solid hemisphere a? +y² + z² 0. E

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

A: Cylindrical to rectangular transformation is made by following rule,

Q: Given the points A(x=2, y=3, z=-1) and B(p = 4, 0 = -50°, z = 2), find a unit vector in cylindrical…

A: The given points are A=x=2, y=3, z=-1 and B=ρ=4, ϕ=-50°, z=2. The relation between cartesian and…

Q: Which of the following is the cylindrical coordinates of (-1, -/3,2)?

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