1. Convert to the rectangular coordinate system a. (2,5, -5) in cylindrical b. (1,5,7) in spherical...
3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates, and evaluate the simplest iterated integral. 1 1-y2 3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates, and evaluate the simplest iterated integral. 1 1-y2
Convert the rectangular coordinate equations to equations in cylindrical coordinates 33.(a) z=x^2+y^2-3x (b) x=3 34. (a) Z=3x^2+3y^2 (b) y=2 35. (a) z=x^2+5y^2 (b) x+y+z=5 36. (a) y=x^2 (b) x+5y=z
a) The origin in polar or cylindrical coordinates as compared to the rectangular coordinate system ______________________ A. is fixed. B. none C. follows particle. D. is body centered. b) If r = q 2 and q = 2t, find the magnitude of r and q when t = 2 seconds. A. 4 cm/sec, 2 rad/sec2 B. 8 cm/sec, 16 rad/sec2 C. 16 cm/sec, 0 rad/sec2 D. 4 cm/sec, 0 rad/sec2 c) Cylindrical or polar coordinates are a suitable choice for...
Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r=3 The rectangular equation for r= 3 is . (Type an equation.) Choose the correct graph of the rectangular equation below. OA. OB. OD. । साप VX HH x । H । X ५
Practice: 1. A vector defined at (4,0,0) is expressed in Cartesian coordinate system as (2,3,0), convert it into cylindrical and spherical representations; 2. If the same vector is moved to (4,0,1), what are its cylindrical and spherical representations?
Q.1 a) Calculate the scale factors for the cylindrical and spherical coordinate systems. b) Calculate the Cartesian unit vectors in terms of the cylindrical and spherical unit vectors. c) Calculate the cylindrical and spherical unit vectors in terms of the Cartesian unit vectors.
Write a MATLAB code that can convert a vector in any coordinate system to the other two coordinate systems. The code must ask the use to select in which coordinate system is the entered data. Write a MATLAB code that can convert a vector in any coordinate system (Cartesian, cylindrical or spherical) to the other two coordinate systems. The code must ask the use to select in which coordinate system is the entered data.
F. Change the coordinates shown as follows: 1. Rectangular (1,3,-1) to cylindrical equation. 2. Rectangular (4,1,-3) to spherical equation. 3. cylindrical (417) to rectangular equation. G. Change the following rectangular equations as follows 1. -3x2 + 2y2 -z 0 to cylindrical equation. 2. x2 + 3y2-22-1 to spherical equation
1 Cylindrical coordinate system Given the relation of the cylindrical coordinate system r=r cos pi+r sin øj + zk (1) Lets define vectors er, eg, and ez, that indicate the direction of the vectors in the cylindrical coordinate system. Using the definition ar e = pt=r, p2 = 0, p3 (2) (a) Find a matrix for calculating er, er and e, in terms of i, j, and k. Invert the relation for expressing i, j, and k in terms of...
5. (15 points) Consider 3 dz r dr d, 20. a. Convert the integral to rectangular coordinates with the order d: dr dy (but don't evaluate.) b. Convert the integral to spherical coordinates (but don't evaluate.) 5. (15 points) Consider 3 dz r dr d, 20. a. Convert the integral to rectangular coordinates with the order d: dr dy (but don't evaluate.) b. Convert the integral to spherical coordinates (but don't evaluate.)