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Chapter 10: Q. 43 (page 790)

Graph the quadric surfaces given by the equations in Exercises 41–48.

x2+y2+1=z2

Short Answer

Expert verified

The graph of the equation is,

Step by step solution

01

Given information

The equation isx2+y2+1=z2

02

Graph

We have,

x2+y2+1=z2

The graph of the above equation is shown below,

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Most popular questions from this chapter

In Exercises 30–35 compute the indicated quantities when u=(−3,1,−4),v=(2,0,5),andw=(1,3,13)

u×wandw×u

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649595165778" u=1,-2andv=-3,6

In Exercises 36–41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

(c) The area of the triangle determined by the points.

P(1,6),Q(0,−3),R(−5,4)

(Hint: Think of the xy-plane as part of ℝ3.)

In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.

u=-5,1,3,v=-3,2,7

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3),v=(4,0,1),andw=(−2,6,5)

Find the area of the parallelogram determined by the vectors u and v.
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