Change from rectangular to cylindrical coordinates. (Letr z 0 and 0 s Os 2x.) (a) )...
Change from rectangular to cylindrical coordinates. (Letr> 0 and Os Os 21.) (a) (-3,3,3) (V162 , arctan( –1),3 (b) (-7,7/3,3) (4, -4,5) (-2,-2V3,4) Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a) (8, 1/4,9) (X, , 2) =( (b) (6, -/3, 1) (x, y, z) =( Write the equations in cylindrical coordinates. (a) 5z = 3x2 + 3y2 (b) 7x2 + 7y2 = 3y
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
Dynamic 4. Compare rectangular coordinates with polar coordinates and cylindrical coordinates. Rectangular Cylindrical Polar X, Y. Z R 5. For a circular motion, what are the normal and tangential components of the acceleration in the polar coordinates. Normal component ? Tangential component ? m 4. Compare rectangular coordinates with polar coordinates and cylindrical coordinates. Rectangular Cylindrical Polar X, Y. Z R 5. For a circular motion, what are the normal and tangential components of the acceleration in the polar coordinates....
The rectangular coordinates of a point are given. Find polar coordinates (,0) of this point with expressed in radians. Letr>0 and -2x << 2x (4. - 473) One possibility for the polar coordinates of this point is (Type an ordered pair. Type exact answers for each coordinate, using it as needed. Use integers or fractions for any numbers in the expression Simplify your answer.)
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
The rectangular coordinates of a point are given. Find polar coordinates (1.0) of this point with expressed in radians. Letr>0 and - 2x<0<2x (8-8) One possibility for the polar coordinates of this point is a (Simplify your answer. Type an ordered pair. Type your answer in radians. Type exact answers, using a as needed. Use integers or fractions for any numbers in the expression)
Below is the transformation matrix between cylindrical and rectangular coordinates: P cos sino 0 i 0 = -sino cosy 09 2 0 0 1 When we found the velocity and acceleration in cylindrical coordinates, we had to find how each of the unit vectors changed in time. do do For this problem, just find de and 4 di
In cylindrical coordinates (r, , z), a torus (a.k.a. the mathematical doughnut) has the equation Change the coordinate system from cylindrical coordinates (r, , z) to torodial coordinates () where Find the surface area of the torus. We were unable to transcribe this imager-a We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image r-a
Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the point. (AI(24) (b) (5, -, 3) We were unable to transcribe this image
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