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A model for learning is described by the differential equation dP dt = K(M - P), where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to find an expression for P(t). (Use P for P(t). Assume that P(0) = 0.) -kt p(t) = - Me + M What is the limit of this expression as t increases without bound? lim P(t) M t∞ Consider the following. x= |t|, y = = |3 - Itl (a) Eliminate the parameter to find a Cartesian equation of the curve. 3−x, x ≥0| (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. У x x x 3 3 y 3 x

A model for learning is described by the differential equation dP dt = K(M - P), where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to find an expression for P(t). (Use P for P(t). Assume that P(0) = 0.) -kt p(t) = - Me + M What is the limit of this expression as t increases without bound? lim P(t) M t∞ Consider the following. x= |t|, y = = |3 - Itl (a) Eliminate the parameter to find a Cartesian equation of the curve. 3−x, x ≥0| (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. У x x x 3 3 y 3 x

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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A model for learning is described by the differential equation dP dt = K(M - P), where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to find an expression for P(t). (Use P for P(t). Assume that P(0) = 0.) -kt p(t) = - Me + M What is the limit of this expression as t increases without bound? lim P(t) M t∞
Transcribed Image Text:A model for learning is described by the differential equation dP dt = K(M - P), where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to find an expression for P(t). (Use P for P(t). Assume that P(0) = 0.) -kt p(t) = - Me + M What is the limit of this expression as t increases without bound? lim P(t) M t∞
Consider the following. x= |t|, y = = |3 - Itl (a) Eliminate the parameter to find a Cartesian equation of the curve. 3−x, x ≥0| (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. У x x x 3 3 y 3 x
Transcribed Image Text:Consider the following. x= |t|, y = = |3 - Itl (a) Eliminate the parameter to find a Cartesian equation of the curve. 3−x, x ≥0| (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. У x x x 3 3 y 3 x
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