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- The figure below open cylindrical can, S, standing on the xc-planefind an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. x2 + y2 = 4The object shown in the figure is axially symmetric and its curved surface is described in cylindrical coordinates byr = √(-1/3z+4) for 0 ≤ z ≤ 12 Which option gives the value of the object pictured? A. 16 B. 24 C. 16πD. 24πE. 64
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- Given P(-11, 0, 49) in rectangular coordinate system, what is ρ (rho) in cylindrical coordinates? (Compute up to 4 decimal places)find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces z 2 = 3(x2 + y 2)find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces z = x 2+ y2
- Sketch the solid that has the given description in spherical coordinates. 0 ≤ θ ≤ π 0 ≤ ϕ ≤ π/2 1 ≤ p ≤ 3Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates(a) Express the given equation into cylindrical and spherical coordinates: (x+y)^2-z^2+4=0 (b) find the equation of sphere through the circle x^2+y^2+z^2=1 , 2x+4y+5x=6 and touching the xz-plane