Explanation Given: The equation is, 16 x 2 + 9 y 2 = 144 . Approach: The standard equation of the ellipse centered at origin is given as, x 2 a 2 + y 2 b 2 = 1 Here, a and b are positive constants. The foci are located on the longer axis of the ellipse and are found by solving the equation, c = ± b 2 − a 2 Calculation: Consider the given equation. 16 x 2 + 9 y 2 = 144 Divide the above equation by 144 . 16 x 2 144 + 9 y 2 144 = 1 x 2 9 + y 2 16 = 1 x 2 3 2 + y 2 4 2 = 1 … ( 1 ) Compare equation ( 1 ) with the standard equation x 2 a 2 + y 2 b 2 = 1

MATHEMATICS A PRACTICAL ODYSSEY W/ACCESS

8th Edition

ISBN: 9780357537343

Author: Johnson

Publisher: CENGAGE L

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 8.7, Problem 21E

To determine

To sketch:

The graph and find the foci of the given ellipse 16x2+9y2=144.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.7, Problem 20E

Chapter 8.7, Problem 22E

Students have asked these similar questions

Please solving problem2 Problem1 We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.

Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.

This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. A B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3t) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot(3πt) sin(3лt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411- 4 -2 sin (3лt) (d)…

Chapter 8 Solutions

MATHEMATICS A PRACTICAL ODYSSEY W/ACCESS

Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - Prob. 4E Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - In Exercise 9 and 10, find a the area and b the...Ch. 8.1 - 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.