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6. Consider the curve given by the equation 2(x - y) = 3+ cos y. For all points on the curve, (a) Show that BI UE E (b) For - < y< . there is a point Pon the curve through which the line tangent to the curve has slope 1. Find the coordinates of the point P. 2. VI VI

6. Consider the curve given by the equation 2(x - y) = 3+ cos y. For all points on the curve, (a) Show that BI UE E (b) For - < y< . there is a point Pon the curve through which the line tangent to the curve has slope 1. Find the coordinates of the point P. 2. VI VI

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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It's cut off on the top, but the interval is 2/3 ≤ dy/dx ≤ 2. Could someone please help me with A and B parts?

6. Consider the curve given by the equation 2( – y) = 3 + cos y. For all points on the curve, 2. 3 dy (a) Show that dx 2-sin y В I 0 / 10000 Word Limit (b) For –5 < y < 5, there is a point Pon the curve through which the line tangent to the curve has slope 1. Find the coordinates of the point P. 2 В I 0 / 10000 Word Limit (c) Determine the concavity of the curve at points for which *<y<. Give a reason for your answer. В I 0 / 10000 Word Limit (d) Let y = f(x) be a function, defined implicitly by 2(x – y) = 3 + cos y, that is continuous on the closed interval [2, 2.1] and differentiable on the open interval (2, 2.1). Use the Mean Value Theorem on the interval [2, 2.1] to show that < f(2.1) – f(2) < 15 В I 三 VI VI !!! !!! !!! DI
Transcribed Image Text:6. Consider the curve given by the equation 2( – y) = 3 + cos y. For all points on the curve, 2. 3 dy (a) Show that dx 2-sin y В I 0 / 10000 Word Limit (b) For –5 < y < 5, there is a point Pon the curve through which the line tangent to the curve has slope 1. Find the coordinates of the point P. 2 В I 0 / 10000 Word Limit (c) Determine the concavity of the curve at points for which *<y<. Give a reason for your answer. В I 0 / 10000 Word Limit (d) Let y = f(x) be a function, defined implicitly by 2(x – y) = 3 + cos y, that is continuous on the closed interval [2, 2.1] and differentiable on the open interval (2, 2.1). Use the Mean Value Theorem on the interval [2, 2.1] to show that < f(2.1) – f(2) < 15 В I 三 VI VI !!! !!! !!! DI
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