Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 10: Q. 45 (page 790)

Graph the quadric surfaces given by the equations in Exercises 41–48.
$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$

Short Answer

Expert verified

The graph of the equation is,

Step by step solution

given information

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

Graph

We have,

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

The graph of the above equation is,

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Full access for only 35 $ / year

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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.

$P (1, 6), Q (0, - 3), R (- 5, 4)$

(Hint: Think of the $x y$ -plane as part of $ℝ^{3}$ .)

Find the norm of the vector. $v = (\frac{1}{3}, \frac{1}{3}, - \frac{1}{3})$

Give an example of three vectors in $ℝ^{3}$ that form a right-handed triple. Explain how you can use the same three vectors to form a left-handed triple.

Find a vector in the direction opposite to $<- 1, - 4, - 6>$ andwith magnitude 7.

Prove the first part of Theorem $1.31$ (a): If $k > 0$ , then $\lim_{x \to \infty} x^{k} = \infty$ . (Hint: Given $M > 0$ , choose $N = M^{1 / k}$ . Then show that for $x > N$ it must follow that $x^{k} > M$ .)

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Graph the quadric surfaces given by the equations in Exercises 41–48.
$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$

Short Answer

Step by step solution

given information

Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Statistics

Geometry

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Company

Product

Help

Graph the quadric surfaces given by the equations in Exercises 41–48.z=x29+y225

Short Answer

Step by step solution

given information

Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Statistics

Geometry

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph the quadric surfaces given by the equations in Exercises 41–48.
$z = \frac{x^{2}}{9} + \frac{y^{2}}{25}$