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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Question
5. Only
![**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. \(x = t^2 - t, \, y = t^2 + t;\) \(t = 1\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F400b9bd7-cb38-477d-bca9-0a4702f014e3%2F93259a5c-7bc1-46cf-a46c-5805ee53e41b%2Flhn80k_processed.jpeg&w=3840&q=75)
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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