Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 < 0 < 2n.) (a) (5, –5, 2) (b) (-3, –3/3, 1)

Q: b.) √4-1²-² √3x²+3y² TEN nates. z dz dy dx from Cartesian coordinates to spherical coordi-

A:

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 sos 27.) (a) (2, –2, 3) (b)…

A:

Q: Change from rectangular to cylindrical coordinates. (Let r2 0 and 0 s 0 s 27.) (a) (3, -3, 1) 3/2, 4…

A:

Q: Q/ Find the parametric equation for the line through the point (0, 1, 2) that is perpendicular to…

A:

Q: Find an equation in rectangular coordinates for the cylindrical equation r = 5 cos(0)

A:

Q: V1-x² c2 Evaluate xyz dz dy dr in cylindrical coordinates.

A: As per the guidelines I can solve only first question. I request you to kindly repost second…

Q: Change from rectangular to cylindrical coordinates. (Let r2 0 and 0s8s 2n.) (a) (8/3, 8,-8) (b)…

A:

Q: How do you find the spherical coordinates of the following problem?

A: Given, Triple integral is

Q: 6a) Find the rectangular coordinates of the point 2, 2%, which is written in cylindrical…

A:

Q: 4-x²-y² 1 Evaluate ²4-y² So coordinates. x²+y²+z² dzdxdy by using spherical or cylindrical

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

Q: 4-x² –y² b.) z dz dy dx -VI¬x² J /3x²+3y? from Cartesian coordinates to spherical coordinates.

A: We need to find the geometry of the given integral.  Then find the limits in terms of spherical…

Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…

A:

Q: r4–x²-y² x²y dz dx dy /2-y² Jx²+y² x² + y² by converting to cylindrical coordinates.

A: We will evaluate the given integral.

Q: 4) A cylindrical coordinates equation for the cone z² = ²+1/² is: a. z² = 97² b. 9z=r c. 9z² = 7² d.…

A:

Q: III. Find the parametric equations of normal line to the surface given by f(x, y) = tan 2 V + y? at…

A:

Q: Write the equations in cylindrical coordinates. (a) 7x + 5y +z 2 z-2-(5 sin(0) +7 cos(8)) (b) -3x-3y…

A: To convert the given equation to cylindrical coordinates we have to put the value., x = rcosθ y =…

Q: 2.13 Let B = xa̟. Express B in (a) cylindrical coordinates, (b) spherical coordinates.

A: Given    B=x az  As  we know  if       A=Axax+Ayay+Azaz thena  Cylindrical coordinates.     we put…

Q: Transform in cylindrical coordinate at the point specified 6 ax -3 ay-6 az at P ( r=5; p= 120…

A:

Q: Q11) Converting Cartesian to spherical x + y + (z- 1)2 = 1

A: We have to convert given equation from Cartesian to spherical coordinates.

Q: 8. Find the positive constant a(> 0) so that the parametric equation: x = at, y = -t? is a solution…

A:

Q: Write the equations in cylindrical coordinates. (a) 2x2 - 5x + 2y2 + z2 = 7 8,2 +z? – 5r cos(0) =7…

A:

Q: (a) 0 = /4 in cylindrical coordinates (b) r = 5 in cylindrical coordinates (c) ø = T/3 in spherical…

A: The graph for part (a) is

Q: 8. Describe the motion of a particle with position (x, y): x = 3sin (t),y 4cos (t)

A: To describe the motion of a particle for below curve. x=3sint, y=4cost

Q: LS -² dz dy dx, using cylindrical coordinates. 9-r r9-z²-y? 3. Evaluate:

A: Given,             ∫-33∫-9-x29-x2∫09-x2-y2x2dzdydx=

Q: Change from rectangular to cylindrical coordinates. (Let r2 0 and 0 s 0 s 2n.) (a) (-1, 1, 1) (b)…

A: The solution of both the problems is given below. r=√(x^2+y^2)

Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y =…

A:

Q: 4-72-2 2. z dz dy dx 3r2+3y2 from Cartesian coordinates to spherical coordinates.

A: Given Integral is converted from Cartesian to Spherical Coordinates

Q: Evaluate - y² No- 9 - x2 – y2 dz dx dy -2 14 - y² 0 by transforming to cylindrical or spherical…

A:

Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

A:

Q: Change from rectangular to cylindrical coordinates. (Let r2 0 and 0 s 0 s 2n.) (a) (-3, 3, 3)…

A:

Q: Change from rectangular to cylindrical coordinates. (Let r 0 and 0 < 0 < 2n.) (a) (9/3, 9, –8) (b)…

A: The rectangular coordinates (x,y,z) are converted into cylindrical coordinates (r,θ,z) by using the…

Q: 4. Transform to cylindrical coordinates: (a) F = 10ax -8a, +6az at point P (10, -8, 6); (b) G = (2x…

A: The complete solution is in given below

Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a…

A: The cylindrical equation z=r2

Q: x2-y는 군.Give the spherical coordingtes.

A:

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2t.) (a) (4, -4, 5) (42,…

A: a). Given rectangular coordinates are

Q: (a) r2 < z < 8 – r² in cylindrical coordinates (b) p< 1, 0 < $ <T/6, 0 < 0 <T in spherical…

A:

Q: 18-z-y? Example 3 Convert + y² + z² dz dx dy into spherical coordinates.

A:

Q: Change from rectangular to cylindrical coordinates. (Let r2 0 and 0 s 0s 2n.) (a) (5,-5, 1) ) 4. (b)…

A:

Q: 8. Solve for the critical points of the parametric equations x = t3 – 1,y = t² +t %3D

A: The answer is found in step-2.

Q: 1.32. Find the distance between (2, x/6, 0) and (1, A, 2), where the points are given in cylindrical…

A: We will find out the required distance between two given points.

Q: 18-22-y2 Example 3 Convert x2 + y? + z? dz dx dy into spherical coordinates.

A: We have to calculate the integral by converting it into spherical coordinates…

Q: V4-x2 9-x2-y² (C ) Convert , S -x?dzdydx to cylindrical coordinates (without evaluation)

A: We will calculate by the rule of cylindrical coordinate

Q: 18-2-y Example 3 Convert 2² + y² + z² dz dz dy into spherical coordinates.

A:

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2n.) (a) (-3, 3, 3) X*…

A: a) Compare the coordinates with the form, x,y,z. x=-3y=3z=3

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2.) (a) (-1, 1, 1) -,1 4…

A: a) We use the rectangular to cylindrical coordinate formula r2=x2+y2r2=(-1)2+12r2=2r=2…

Q: 9-y2 18-22-y? Example 3 Convert a2 + y? + z? dz dx dy into spherical 1²+y? coordinates.

A: Given that: ∫03∫09-y2∫x2+y218-x2-y2x2+y2+z2  dz dx dy

Q: Q.No 05: Find the expressions for the spherical harmonics Y30 (0, 9) and Y3,+1(0, 9). Y30 (0, 9) =…

A: Given  Y3,0θ,φ=716π5cos3θ-3cosθY3,±1θ,φ=2164πsinθ5cos2θ-1e±iφ

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

A:

Q: V2,V2-x V4-x2-y2 b b2 If the integral f(x,y,z) dzdydx is rewritten in spherical coordinates as…

A: