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A curve has equation y = 48 (x+3)(x - 5) (a) Find the equations of the asymptotes and the coordinates where the curve crosses the y - axis. (b) You are given there is a stationary value at x = 1. Without using calculus, show that this stationary value is a maximum. (c) Sketch the curve. This must not be done on graph paper. On your sketch show clearly the asymptotes. Show also the coordinates of the maximum and where the curve crosses the y - axis.

A curve has equation y = 48 (x+3)(x - 5) (a) Find the equations of the asymptotes and the coordinates where the curve crosses the y - axis. (b) You are given there is a stationary value at x = 1. Without using calculus, show that this stationary value is a maximum. (c) Sketch the curve. This must not be done on graph paper. On your sketch show clearly the asymptotes. Show also the coordinates of the maximum and where the curve crosses the y - axis.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A curve has equation 48 y = (x+3)(x - 5) (a) Find the equations of the asymptotes and the coordinates where the curve crosses the y - axis. (b) You are given there is a stationary value at x = 1. Without using calculus, show that this stationary value is a maximum. (c) Sketch the curve. This must not be done on graph paper. On your sketch show clearly the asymptotes. Show also the coordinates of the maximum and where the curve crosses the y - axis.
Transcribed Image Text:A curve has equation 48 y = (x+3)(x - 5) (a) Find the equations of the asymptotes and the coordinates where the curve crosses the y - axis. (b) You are given there is a stationary value at x = 1. Without using calculus, show that this stationary value is a maximum. (c) Sketch the curve. This must not be done on graph paper. On your sketch show clearly the asymptotes. Show also the coordinates of the maximum and where the curve crosses the y - axis.
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