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**Unformatted text preview: **Mirzoyeva (tim89) – assignment 6 – luecke – (58600) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points This question is from section 13.6. Find an equation for the surface obtained by rotating the parabola z = y 2 about the z-axis. 1. x 2 − y 2 = z 2. y 2 + x 2 = z 3. y 2 − x 2 = z 4. z 2 + y 2 = x 5. z 2 − x 2 = y 002 10.0 points Hint: This is from Chapter 13. Use the distance formula to write down the conditions described on a point (x,y,z). This will give you the equation for such points. Find an equation for the surface consisting of all points P ( x, y, z ) equidistant from the point P ( − 3 , , 0) and the plane x = 3. 1. y 2 + z 2 + 12 x = 0 2. y 2 − z 2 + 12 x = 0 3. y 2 + 12 x 2 = 1 4. y 2 − x 2 = 6 z 5. 12 z 2 + x 2 = 12 y 003 10.0 points Find a vector function whose graph is the curve of intersection of the sphere x 2 + y 2 + z 2 = 10 and the plane...

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