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Chapter 10: Q. 45 (page 790)

Graph the quadric surfaces given by the equations
$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$

Short Answer

Expert verified

The surface graph is shown below.

Step by step solution

Introduction.

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

Given Information.

Consider the following formula:

$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$

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

Explanation.

The surface graph is shown below.

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Most popular questions from this chapter

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$

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

In Exercises 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$

$u \times v and v \times u$

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$

$u = (4, 0) a n d v = (0, 3)$

If $||u \times v|| = ||u|| ||v||$ , what is the geometric relationship between u and v?

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.

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

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Graph the quadric surfaces given by the equations
$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$

Short Answer

Step by step solution

Introduction.

Given Information.

Explanation.

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Most popular questions from this chapter

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Graph the quadric surfaces given by the equationsz=x29+y225

Short Answer

Step by step solution

Introduction.

Given Information.

Explanation.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Graph the quadric surfaces given by the equations
$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$