Use the function w=x^2+y^2-z^2-1 to answer questions 1, 2 and 3. 1a. The equatio

Question

Use the function w=x^2+y^2-z^2-1 to answer questions 1, 2 and 3. 1a. The equation of the level surface corresponding to w=-3 is _______________________________________. Complete the next 3 statements with the name of the correct conic section, circle, ellipse, parabola, hyperbola, or line. 1b. The intersection of this surface with the plane z=0 is ___________________________________. 1c. The intersection of this surface with the plane y=0 is ___________________________________. 1d. The intersection of this surface with the plane x=0 is ___________________________________. Complete the following statement with the correct name of the quadric surface from table 1, section 12.6. 1e. This level surface is an example of a ___________________________________________________ quadric surface. 1f. Why? _____________________________________________________________________________.

Explanation / Answer

Equation of level surface can be calculated by putting w = -3 .

x^ 2 + y^2 - z^2 = -2 .

1b.

x^2 + y^2 +2 = 0 . Ellipse.

1c. x^2-z^2 = -2 . Hyperbola.

1d. y^2 - Z^2 = -2. Hyperbola.

I dont know where is table 1, section 12.6. So cant help you sorry. Please rate me for the effort shown to answer previous question.

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