Match the surface to its corresponding equation in spherical coordinates. 4 2 3 4. %3D 2 1 а. -1 -2 b. -2 O 2 4 6 8 -1 -2 c. -32 -5
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- Identify the surface generated by the equation 9y^2 + 4x^2 - z^2 = 36 hyperboloid of 1 sheet, ellipsoid, elliptic cone, hyperboloid of 2 sheets or noneFind the equation of the surface of revolution that is generated by rotating the parabola y = x^2 around the y-axis. Is it a quadric surface? What name can be given to it?Find an equation in spherical coordinates for the surface represented by the rectangular equation x2 + y2 = 2z2
- State whether the equation(x/3)^2−(y/2)^2+(z/8)^2=1 defines (enter number of statement):1. A hyperboloid of two sheets2. A hyperboloid of one sheet3. An ellipsoid4. None of theseFind parametric equations for an object moving clockwise along the ellipse (x2/16)+(y2/9)=1 beginning at (4,0) and requiring 2 seconds for a complete revolution.Reduce the equation to standard form, classify the surface and sketch it 4y2 + z2 - x - 16y - 4z + 20 = 0