for what values of c is the surface $x^3+cxyz+z^3=1$ a smooth submanifold of $R^3$.
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for what values of c is the surface $x^3+cxyz+z^3=1$ a smooth submanifold of $R^3$.
Step by step
Solved in 3 steps
- Reduce the equation to one of the standard forms, classifythe surface, and sketch it x^2-y^2+z^2-2x+2y+4z+2=0Identify and sketch using families of traces the surface 2x² + y² − z² + 4z = 0.Find the equation of the level surface of the function g(x,y,z)=x^2+y^2+z^2-2x+4y-6z corresponding to c=2 and describe the surface if possible.