Explanation Equation used: “ Hyperbola: The general form of the equation of the hyperbola in xy -coordinate plane is, ( x − h ) 2 a 2 − ( y − k ) 2 b 2 = 1 ( transverse axis parallel to x -axis ) ( y − k ) 2 a 2 − ( x − h ) 2 b 2 = 1 ( transverse axis parallel to y -axis ) If where ( h , k ) is the center and a and b are the axis.” Calculation: The given information of hyperbola is, center = ( 1 , − 4 ) focus = ( 1 , 1 ) transverse axis = 8 Since, the center of the curve is ( 1 , − 4 ) . c = 1 − ( − 4 ) = 5 Since, the transverse axis is of 8 units, the value of a is, 2 a = 8 a = 4 Hence, the value of b is, b 2 = c 2 − a 2 = 5 2 − 4 2 = 25 − 16 = 9 Thus, the curve has transverse axis parallel to y -axis

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

See similar textbooks

Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Videos

Question

Chapter 21.7, Problem 22E

To determine

The equation of the curve with the given details.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 21.7, Problem 21E

Chapter 21.7, Problem 23E

Students have asked these similar questions

PROBLEM 2: A baseball catcher includes a 6-kg rod with a small net of negligible mass at point B. A spring of unstretched length 0.3 m is attached to the midpoint of bar AB at one end and to stationary point D at the other. A stopper at point E keeps the catcher in the vertical position before the pitch. Knowing the catcher just barely rotates when it catches a fastball of mass 0.18 kg, determine the required spring constant of the spring. Given = 1.5 m. Bonus: Develop a MATLAB program to solve for this problem. v₁ = 40 m/s Unit: m 1 B L E A D www wwwwwww -L-

L ined sove in peaper Anoting PU+965 4 Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. +1Σm=1 00 sin Sn Lake 55 Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. 5700 2n=2√2+n C

a い पीर ined sove in peaper Pu+9625 Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. 3" 6" 1Σn=1 (2-") n Lake = Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum 1/n 2" (n-√n -n 2n-1 0 T=1 . if possible.

Chapter 21 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

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.