a.) vertical or horizontal b.) an elliptical paraboloid with global minimum 16,
ID: 2874792 • Letter: A
Question
a.) vertical or horizontal b.) an elliptical paraboloid with global minimum 16, an ellipse with major axis 4 and minor axis 1, a circle with radius 16 or a circle with radius 4 c.) x,y or z Need Help? planes z-0 (the -plane) and z-6 Tailk to Tuter Describe in words the region of R3 represented by the equation x2y 16, z6 Because z-6, all points in the region must lie in the Select plane z - -6. In addition, +-16, so the region consists of all points that le on and center on the-axis t t n the plane z- -6 contained i Need Help?3 My Ask Your 12.1.031 O 414 points I Describe in words the region of R3 represented by the inequality x2+y2+2 2 The inequality x22 is equivalent to v2s v2,so the region consists of those points whose distance from the orgin in lat mot This is the set of all points on or insidethe spherewith radius v2 and center (o, 0, 0)Explanation / Answer
x2+y2=16
=>x2+y2=42
=> circle with radius 4
z=-6 is parallel to xy plane which is horizontal
because z= -6, all the points in the region must lie in the horizontal plane z =-6 , in addition ,x2+y2=16,so the region consists of all points that lie on a circle with radius 4 and centre on the z axis that is contained in the plane z=-6
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