. Find the distance between (5, 3?/2 , 0) and (5, ?/2 , 10)in cylindrica
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2. Find the distance between (5, 3?/2 , 0) and (5, ?/2 , 10)in cylindrical coordinates.
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- Sketch the solid that results when the given circle of radius length 1 unit is revolved about the horizontal line that lies 1 unit below the center of that circle.Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?Show that the cylindrical equationr 2(1 − 2 sin2 θ ) + z 2= 1is a hyperboloid of one sheet.
- express the point (x,y,z) = (0,1,0) in spherical coordinates. Show full and complete procedureFind the point on the y-axis which is equidistant from (2,5,-3) and (-3,6,1). After getting the value of y, convert the coordinates to cylindrical coordinates assuming in the new coordinates, the value of x=1, z=1Convert (r, θ , z) =(3, π/6 , 4)from cylindrical to spherical coordinates.
- Given P(-11, 0, 49) in rectangular coordinate system, what is ρ (rho) in cylindrical coordinates? (Compute up to 4 decimal places)Evaluate ∫W z dV, where W is the first-octant portion of the solid sphere of radius 2 centered at the origin. Do this in 2 ways: using cylindrical coordinates and using spherical coordinates.What are the cylindrical coordinates of the point whose rectangular coordinates are (x = -1, y = 4, z = -3)?