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69. Find the x-coordinates of the points where the tangent line is horizontal on the trident curve xy = x3 – 5x2 + 2x – 1, so named by Isaac Newton in his treatise on curves published in 1710 (Figure 13). Hint: 2x – 5x² +1= (2x – 1)(x² – 2x – 1). 20 -20 FIGURE 13 Trident curve: xy =x³ – 5x? + 2x – 1.

69. Find the x-coordinates of the points where the tangent line is horizontal on the trident curve xy = x3 – 5x2 + 2x – 1, so named by Isaac Newton in his treatise on curves published in 1710 (Figure 13). Hint: 2x – 5x² +1= (2x – 1)(x² – 2x – 1). 20 -20 FIGURE 13 Trident curve: xy =x³ – 5x? + 2x – 1.

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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69. Find the x-coordinates of the points where the tangent line is horizontal on the trident curve xy = x3 – 5x2 + 2x – 1, so named by Isaac Newton in his treatise on curves published in 1710 (Figure 13). Hint: 2x – 5x² +1= (2x – 1)(x² – 2x – 1).
Transcribed Image Text:69. Find the x-coordinates of the points where the tangent line is horizontal on the trident curve xy = x3 – 5x2 + 2x – 1, so named by Isaac Newton in his treatise on curves published in 1710 (Figure 13). Hint: 2x – 5x² +1= (2x – 1)(x² – 2x – 1).
20 -20 FIGURE 13 Trident curve: xy =x³ – 5x? + 2x – 1.
Transcribed Image Text:20 -20 FIGURE 13 Trident curve: xy =x³ – 5x? + 2x – 1.
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