Determine any critical points, point of inflection and trace the curve. 1. y = 2x' +3x - 12x +7 2. y = x*(2-x*) 3. y= (1– x) 4. If f(x) = ax' +bx', determine a and b so that the graph of f will have a point of inflection at (1,2). Support your answer graphically. 5. If f(x) = ax* + bx' +cx? + dx+ e, determine a, b, c, d and e so that the graph of f will have a point of inflection at (-1, 1), contain the origin, and be symmetric with respect to y-axis. Support your answer graphically.
Determine any critical points, point of inflection and trace the curve. 1. y = 2x' +3x - 12x +7 2. y = x*(2-x*) 3. y= (1– x) 4. If f(x) = ax' +bx', determine a and b so that the graph of f will have a point of inflection at (1,2). Support your answer graphically. 5. If f(x) = ax* + bx' +cx? + dx+ e, determine a, b, c, d and e so that the graph of f will have a point of inflection at (-1, 1), contain the origin, and be symmetric with respect to y-axis. Support your answer graphically.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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