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Chapter 10: Q. 46 (page 790)

Graph the quadric surfaces given by the equations
$9 x^{2} + 16 y^{2} + 16 z^{2} = 144$

Short Answer

Expert verified

The surface graph is an ellipsoid, as shown below.

Step by step solution

Introduction.

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

Given Information.

Consider the following formula:

$9 x^{2} + 16 y^{2} + 16 z^{2} = 144$

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

Explanation.

The surface graph is an ellipsoid, as shown below.

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Most popular questions from this chapter

If u and v are nonzero vectors in $ℝ^{3}$ , why do the equations role="math" localid="1649263352081" $u \cdot (u \times v) = 0$ and $v \cdot (u \times v) = 0$ tell us that the cross product is orthogonal to both u and v?

Read the section and make your own summary of the material.

Calculate the limits in Exercises $25 - 28$ , using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.

localid="1648227587052" $\lim_{x \to 0} \frac{3}{2 x^{2} - 4 x + 1}$ .

Suppose f and g are functions such that $\lim_{x \to 3} f (x) = 5, \lim_{x \to 4} f (x) = 2$ and $\lim_{x \to 3} g (x) = 4$

Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.

$\lim_{x \to 3} - 2 f (x)$

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition with a graph or algebraic example, if possible.

the formal $δ - M, N - \in,$ , and N–M definitions of the limit statements $\lim_{x \to c} f (x) = \infty, \lim_{x \to \infty} f (x) = L,$ and $\lim_{x \to \infty} f (x) = \infty$ , respectively

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Graph the quadric surfaces given by the equations
$9 x^{2} + 16 y^{2} + 16 z^{2} = 144$

Short Answer

Step by step solution

Introduction.

Given Information.

Explanation.

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Graph the quadric surfaces given by the equations9x2+16y2+16z2=144

Short Answer

Step by step solution

Introduction.

Given Information.

Explanation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Geometry

Discrete Mathematics

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Graph the quadric surfaces given by the equations
$9 x^{2} + 16 y^{2} + 16 z^{2} = 144$