2 (a) Convert point P(3,-3,1) to spherical coordinates. (b) Transform vector F-pcospa, -zsinpa, into rectangular coordinates.
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
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.)
5. A point is given in polar coordinates. Convert the point to rectangular coordinates. (2 pts) A) (2,5) (2 pts) B) (3.-5)
6. A point is given in rectangular coordinates. Convert the point to polar coordinates. (There are many answers). (2 pts) A) (4, -3) (2 pts) B) (-1,v3)
3 The rectangular coordinates of the point with spherical coordinates (0,0,) = (4,7/3,7/4) are (6.05) A (v2,16,23) B. (16,72,272) C (V3, 16, 2v2) D (V6, V3, 22)
Please help me. i didnt understand those formulas. can you please explain them. thanks. Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on the surface of the cylinder described by r-2. At point P find (a) the vector component of E perpendicular to the cylinder, (b) the vector component of E tangential to the cylinder. Can anyone please tell me where does these formulas come from and also is there any formulas...
PLE 2 The point (0, 5 3 , −5) is given in rectangular coordinates. Find spherical coordinates for this point. SOLUTION From the distance formula we have ρ = x2 + y2 + z2 = 0 + 75 + 25 = 10 Correct: Your answer is correct. and so these equations give the following. cos(φ) = z ρ = -1/2 Correct: Your answer is correct. φ = $$ Incorrect: Your answer is incorrect. cos(θ) = x ρ sin(φ) = θ...
Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point. (a) (7,7/3, 7/6) 3 3 لا | من | л л 6 6 o (x, y, z) = (b) (3, п/2, 3/4) ы Зл 3 л 4 T 3 о 3 л T 2 у y Зл 3 л 4 4 (x, y, 2) =
Question 2 Find an equation in spherical coordinates for the equation given in rectangular coordinates. y = 2 Op = 2cosø cose p=2seco.sece 0 p=2 sind sine Op=2seco csel Op=2csc@csc
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