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Chapter 10: Q. 46 (page 790)

Graph the quadric surfaces given by the equations

9x2+16y2+16z2=144

Short Answer

Expert verified

The surface graph is an ellipsoid, as shown below.

Step by step solution

01

Introduction.

Quadric surfaces are described in two dimensions by quadratic equations. Quadrics include spheres, ellipsoids and cones.

02

Given Information.

Consider the following formula:

9x2+16y2+16z2=144

The goal is to create a graph of the quadric surface.

03

Explanation.

The surface graph is an ellipsoid, as shown below.

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Most popular questions from this chapter

Prove the first part of Theorem 1.31(a): If k>0, then limx鈫�鈭�xk=鈭�. (Hint: Given M>0, choose N=M1/k. Then show that for x>N it must follow that xk>M.)

Find vand find the unit vector in the direction of v.

v=3,鈭�4

Find the norm of the vector.v=3,鈭�4

In Exercises 37鈥�42, find v and find the unit vector in the direction of v.

v=1,1,1

Find PQ鈫�

P=-1,5,4,Q=-1,6,4
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