1. Sketch the curve by using the parametric equations to plot points. Indicate wit an arrow the direction in which the curve is traced as t increases. = cos²t, y = 1 - sint, 0≤ t ≤ π/2

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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1. Sketch the curve by using the parametric equations to plot points. Indicate with
an arrow the direction in which the curve is traced as t increases.
(a) x = cos²t, y = 1 - sint, 0≤ t ≤ π/2
(b) x = et+t, y = et − t, −2 ≤ t ≤ 2
(c) x = et, y = √t, 0≤ t ≤ 1
Transcribed Image Text:1. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (a) x = cos²t, y = 1 - sint, 0≤ t ≤ π/2 (b) x = et+t, y = et − t, −2 ≤ t ≤ 2 (c) x = et, y = √t, 0≤ t ≤ 1
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