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A. Given the following information about the hyperbola, find both its standard and general form 1. FOCI: (-4, 0) (4, 0); VERTICES: (-3, 0J (3, 0) 2. FOCI: (-3, -3) (-3, 13); VERTICES: (-3, 0) (-3, 10)

A. Given the following information about the hyperbola, find both its standard and general form 1. FOCI: (-4, 0) (4, 0); VERTICES: (-3, 0J (3, 0) 2. FOCI: (-3, -3) (-3, 13); VERTICES: (-3, 0) (-3, 10)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A. Given the following information about the hyperbola, find both its standard and general form 1. FOCI: (-4, 0) (4, 0): VERTICES: (-3, 0) (3, 0) 2. FOCI: (-3, -3) (-3. 13); VERTICES: (-3, 0) (-3, 10) B. Given the standard form of the equation of hyperbola, find the following, then sketch the graph. A. orientation B. opening of branohes C. genter D. transverse axis E. conjugate axis F. distance of the foci G. vertices H. foci I. co-vertices J. asymptotes 1. G+2) 2. 36 (-1) = 1 49 C. Convert each general form to standard form of the equation of hyperbola. 1.9y - 4x - 18y + 24x - 63 = 0 2. 9x? – 4y? – 90x + 32y – 163 = o D. Solve and show complete solution. Two stations, located at MI.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curve containing the possible location of the ship.
Transcribed Image Text:A. Given the following information about the hyperbola, find both its standard and general form 1. FOCI: (-4, 0) (4, 0): VERTICES: (-3, 0) (3, 0) 2. FOCI: (-3, -3) (-3. 13); VERTICES: (-3, 0) (-3, 10) B. Given the standard form of the equation of hyperbola, find the following, then sketch the graph. A. orientation B. opening of branohes C. genter D. transverse axis E. conjugate axis F. distance of the foci G. vertices H. foci I. co-vertices J. asymptotes 1. G+2) 2. 36 (-1) = 1 49 C. Convert each general form to standard form of the equation of hyperbola. 1.9y - 4x - 18y + 24x - 63 = 0 2. 9x? – 4y? – 90x + 32y – 163 = o D. Solve and show complete solution. Two stations, located at MI.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curve containing the possible location of the ship.
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