Explanation Definition used: Equation of an ellipse with center at ( 0 , 0 ) , and major axis along x-axis: “An equation of the ellipse with center at ( 0 , 0 ) , foci at ( ± c , 0 ) ( 0 , ± c ) , ends of the minor axis at ( 0 , ± b ) and vertices at ( ± a , 0 ) is x 2 a 2 + y 2 b 2 = 1 where a > b > 0 and b 2 = a 2 − c 2 .” Equation of an ellipse with center at ( 0 , 0 ) , and major axis along y-axis: “An equation of the ellipse with center at ( 0 , 0 ) , foci at ( 0 , ± c ) , ends of the minor axis at ( ± b , 0 ) and vertices at ( 0 , ± a ) is x 2 b 2 + y 2 a 2 = 1 where a > b > 0 and b 2 = a 2 − c 2 .” Calculation: The given equation of the ellipse is x 2 100 + y 2 64 = 1 . Convert the equation of the ellipse x 2 100 + y 2 64 = 1 into standard form as follows. x 2 100 + y 2 64 = 1 x 2 10 2 + y 2 8 2 = 1 Clearly, the equation x 2 10 2 + y 2 8 2 = 1 is in the form of x 2 a 2 + y 2 b 2 = 1

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

See similar textbooks

Concept explainers

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

Videos

Question

Chapter 21.5, Problem 4E

To determine

The vertices and the foci of the ellipse with the equation x2100+y264=1 and to draw the graph of the ellipse.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 21.5, Problem 3E

Chapter 21.5, Problem 5E

Students have asked these similar questions

Answer questions 7.4.1 , 7.4.2 and 7.4.3 respectively

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 68 inches. The probability that the study participant selected at random is less than 68 inches tall is 0.4. (Round to four decimal places as needed.) 20 2

Use the graph of the polynomial function of degree 5 to identify zeros and multiplicity. Order your zeros from least to greatest. -6 3 6+ 5 4 3 2 1 2 -1 -2 -3 -4 -5 3 4 6 Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity

Chapter 21 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The vertices and the foci of the ellipse with the equation x 2 100 + y 2 64 = 1 and to draw the graph of the ellipse.

Concept explainers

Videos

The vertices and the foci of the ellipse with the equation x2100+y264=1 and to draw the graph of the ellipse.

Want to see the full answer?

Chapter 21 Solutions