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Consider the curve y = 2x³-9x² + 12x + 2, for -1 < x < 3.

Consider the curve y = 2x³-9x² + 12x + 2, for -1 < x < 3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4) Consider the curve y = 2x³ - 9x² + 12x + 2, for -1 < x < 3. a) Sketch the curve for -1 < x <3 and -2 < y < 12. b) A teacher asks her students to make some observations about the curve. Three students responded. Nadia said "The x-intercept of the curve is between - 1 and 0." Rick said "The curve is decreasing when x < 1." Paula said "The gradient of the curve is less than zero between x = 1 and x = 2." State the name of the student who made an incorrect observation. 2x39x² + 12x + 2 = k has three solutions, find the c) Given that y possible values of k. =
Transcribed Image Text:4) Consider the curve y = 2x³ - 9x² + 12x + 2, for -1 < x < 3. a) Sketch the curve for -1 < x <3 and -2 < y < 12. b) A teacher asks her students to make some observations about the curve. Three students responded. Nadia said "The x-intercept of the curve is between - 1 and 0." Rick said "The curve is decreasing when x < 1." Paula said "The gradient of the curve is less than zero between x = 1 and x = 2." State the name of the student who made an incorrect observation. 2x39x² + 12x + 2 = k has three solutions, find the c) Given that y possible values of k. =
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