(a)
To prove: The distance between F1 and V2 is (c+a) and the distance between F2 and V2 is (c−a) and the difference between these distances is 2a . The given figure is:
(b)
To calculate: The expression that represents the difference of the distance from F1 to (x,y) and from F2 to (x,y) .
(c)
To prove: The equation √(x+c)2+y2−√(x−c)2+y2=2a can be written as cx−a2=a√(x−c)2+y2 .
(d)
To prove: The equation cx−a2=a√(x−c)2+y2 can be written as (c2−a2)x2−a2y2=a2(c2−a2) .
(e)
To prove: The equation (c2−a2)x2−a2y2=a2(c2−a2) can be written as x2a2−y2b2=1 .

Want to see the full answer?
Check out a sample textbook solution
Chapter 10 Solutions
PRECALCULUS
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Algebra and Trigonometry (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics (13th Edition)
- Find the area between the following curves. x=-1, x=3, y=x-1, and y=0 The area between the curves is (Simplify your answer.)arrow_forwardFind the area between the curves. x= − 2, x= 3, y=5x, y=x? - 6 6 The area between the curves is (Simplify your answer.) ...arrow_forwardplease question 9arrow_forward
- Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. 3. f(x) = 4x; [-5,3]arrow_forwardUse the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=3e-4; [3,3]arrow_forwardA small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by P'(t) = (7t + 14) (t² + 4t+7) * (a) Find the total profit in the first four years. (b) Find the profit in the sixth year of operation. (c) What is happening to the annual profit over the long run?arrow_forward
- Calculus III May I have an expert explained how the terms were simplified into 6(3-x)^2? Thank you,arrow_forwardCalculus III May I have an expert explain how the integrand was simplified into the final for form to be integrated with respect to x? Thank you,arrow_forwardCalculus lll May I please have the semicolon statement in the box defined with explanation? Thank you,arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning




