Question 2 Find an equation in spherical coordinates for the equation given in rectangular coordinates. y...
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) =
Transform the polar equation to an equation in rectangular coordinates. Identify and graph the equation. TA CSC 0-5 | | | | Choose the correct equation below. 04. x2+(y- D - 08. x2+(-3)?- No NICO o NINI NE SEN 00. =(3+5)2 = Which of the following graphs the equation TCSC 0 = 5? OA OC 341 - Q 3 .
Find the rectangular coordinates for the point whose polar coordinates are given. 8 TT 6 (x, y) = ) =( Convert the rectangular coordinates to polar coordinates with r> 0 and 0 se<2n. (-2, 2) (r, 0) Convert the rectangular coordinates to polar coordinates with r> 0 and O So<211. (V18, V18) (r, ) = Find the rectangular coordinates for the point whose polar coordinates are given. (417, - ) (x, y) =
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
Question 13 Polar coordinates of a point are given. Find the rectangular coordinates of the point. (4, -180) (4,0) (-4,0) (0,4) (0,-4) hp
The letters rand represent polar coordinates. Write the following equation using rectangular coordinates (x,y). 2 = 14 cos e NICO The equation using rectangular coordinates (x,y) is (x² + y2) 14x =0. r2 = 14cos R(+² ) = K (14 cos ) R² = 14R Coso (R2) 3/4 = 14 Rcoso (x² + y2 %=148 -14 -14 (x² + y2 3%2_14=0 mistake? Did I make a Thank you
The letters x and y represent rectangular coordinates. Write the given equation using polar coordinates (1.0). 5x² + 5y² = 6 Select the correct equation in polar coordinates below. OA. TE OB. 7 = 1/35 OCZ 5(cos + sin ) 6 5(cos + sin ) OD. 6 "- 5
2 (a) Convert point P(3,-3,1) to spherical coordinates. (b) Transform vector F-pcospa, -zsinpa, into rectangular coordinates.
The rectangular coordinates of a point are given. Find polar coordinates for the point. 1) (0, -8) 2) Please step by step!