Given a point in spherical coordinate (5, ,"), find its equivalence in cylindrical coordinate. Draw coordinate system
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- 2. Find parametric equations for the line segment joining the first point to the second point. (−4,−8,5) and (−6,1,−5).The point (x,y,z)=(-3,4,5) expressed in spherical coordinates.Convert the point (x,y,z)=(3,−1,−3) to spherical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place.
- Find the position of a point given as (5, 2π/3, 2) in cylindrical coordinates, in cartesian and spherical coordinates.Convert the point (1, π/3 , 1) from cylindrical to spherical coordinates. Show solutions. Choices: A. (√2 , π/3, π/3) B. (√2 , π/3, π/2) C. (√2 , π/3, π/4) D. (√2 , π/3, π/6)Find the equations of all spheres in R3 of radius R = 3 passing through the point (7 ,8, 9)that their centers lie on the z-axis.