(a) Explanation Given data: The parametric equation for the variable x is as follows. x = t (1) The parametric equation for the variable y is as follows. y = t − 2 (2) Calculation: The value of t is increased from − π to π with a step value of π 2 and substituted in the Equations (1) and (2) to obtain the value of x and y respectively. Substitute π for t in the equation (1), x = t = ( π ) = 3.14 Substitute − π for t in the equation (2), y = t − 2 = ( π ) − 2 = 0.101 The values of x and y for each step value of t is tabulated in the below table (b) To determine To plot: The curve using the parametric equations x = cos t and y = sec 2 t . (c) To determine To plot: The curve using the parametric equations x = e t and y = e − 2 t .

8th Edition

ISBN: 9781305266636

Author: James Stewart

Publisher: Cengage Learning

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Question

Chapter 10.1, Problem 38E

(a)

To determine

To plot: The curve using the parametric equations x=t and y=t−2.

(b)

To determine

To plot: The curve using the parametric equations x=cost and y=sec2t.

(c)

To determine

To plot: The curve using the parametric equations x=et and y=e−2t.

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Chapter 10.1, Problem 37E

Chapter 10.1, Problem 39E

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Chapter 10 Solutions

Single Variable Calculus

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To plot: The curve using the parametric equations x = t and y = t − 2 .

Solution Summary: The author plots the curve using the parametric equations x=t and y=t2.

Concept explainers

To plot: The curve using the parametric equations x=t and y=t−2.

To plot: The curve using the parametric equations x=cost and y=sec2t.

To plot: The curve using the parametric equations x=et and y=e−2t.

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Chapter 10 Solutions