Chapter 10: Q 13. (page 699)

In Problems 11–18, find an equation of the conic described. Graph the equation by hand
Ellipse; foci at $(- 3, 0)$ and $(3, 0)$ ; vertex at $(4, 0)$

Short Answer

Expert verified

The Equation of the ellipse is $\frac{x^{2}}{16} + \frac{y^{2}}{7} = 1$

Step by step solution

Step 1. Given Information

Foci at $(- 3, 0), (3, 0)$

Vertex at $(4, 0)$

Step 2. Calculation

Since $(h + c, k) = (- 3, 0) (h - c, k) = (3, 0)$

and $(h + a, k) = (4, 0)$

Hence $h = 0, c = - 3, k = 0 & a = 4$

Then $b^{2} = a^{2} - c^{2} = 16 - 9 = 7$

Then the equation is

$\frac{x^{2}}{16} + \frac{y^{2}}{7} = 1$

Step 3. Graph

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In Problems 11–18, find an equation of the conic described. Graph the equation by hand
Ellipse; foci at $(- 3, 0)$ and $(3, 0)$ ; vertex at $(4, 0)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Graph

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In Problems 11–18, find an equation of the conic described. Graph the equation by handEllipse; foci at (-3,0)and (3,0); vertex at(4,0)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Pure Maths

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 11–18, find an equation of the conic described. Graph the equation by hand
Ellipse; foci at $(- 3, 0)$ and $(3, 0)$ ; vertex at $(4, 0)$