Answered: In each of the following, find the…

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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Question

In each of the following, find the ellipse’s eccentricity, foci and directrices.
i. 16x²+ 25y²=400
ii.169x²+25y²= 4225
(b) Find the ellipse’s standard form equation for each of the following cases.
i. Foci: (0, ±3), Eccentricity: 0.5
ii. Foci: (±8, 0), Eccentricity: 0.2
iii. Vertices: (0, ±70), Eccentricity: 0.1
iv. Vertices: (±10, 0), Eccentricity: 0.24
(c) Find the eccentricity, foci and directrices and sketch the hyperbola if
i. x²− y²= 1.
ii. 9x²− 16y²= 144.
iii. 8x²− 2y²= 16.
iv. y²− 3x²= 3.
(d) Find the hyperbola’s standard form equation if
i. Foci: (0, ±5), Eccentricity: 1.25
ii. Foci: (±3, 0), Eccentricity: 3
iii. Vertices: (0, ±1), Eccentricity: 3
iv. Vertices: (±2, 0), Eccentricity: 2