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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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**Parametric Equation Exercises** In Exercises 5 – 12, parametric equations for a curve are given: (a) **Find** \(\frac{dy}{dx}\). (b) **Find the equations of the tangent and normal line(s)** at the point(s) given. (c) **Sketch the graph** of the parametric functions along with the found tangent and normal lines. **Exercises:** 5. \(x = t, \, y = t^2;\) \(t = 1\) 6. \(x = \sqrt{t}, \, y = 5t + 2;\) \(t = 4\) 7. \(x = t^2 - t, \, y = t^2 + t;\) \(t = 1\)
Transcribed Image Text:**Parametric Equation Exercises** In Exercises 5 – 12, parametric equations for a curve are given: (a) **Find** \(\frac{dy}{dx}\). (b) **Find the equations of the tangent and normal line(s)** at the point(s) given. (c) **Sketch the graph** of the parametric functions along with the found tangent and normal lines. **Exercises:** 5. \(x = t, \, y = t^2;\) \(t = 1\) 6. \(x = \sqrt{t}, \, y = 5t + 2;\) \(t = 4\) 7. \(x = t^2 - t, \, y = t^2 + t;\) \(t = 1\)
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