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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,

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Most popular questions from this chapter

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.

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

If the triple scalar product $u \cdot (v \times w)$ is equal to zero, what geometric relationship do the vectors u, v and w have?

In Exercises 30–35 compute the indicated quantities when $u = (- 3, 1, - 4), v = (2, 0, 5), and w = (1, 3, 13)$

Find the volume of the parallelepiped determined by the vectors u, v, and w.

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

$u \times v and v \times u$

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.

$P (3, 1, 8), Q (0, 6, - 1), R (- 3, 5, - 3)$

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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

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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

Geometry

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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