   Chapter 10.1, Problem 1E

Chapter
Section
Textbook Problem

# 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.1. x = 1 − t2, y = 2t − t2, −1 ≤ t ≤ 2

To determine

To plot: The curve using the parametric equations x=1t2 and y=2tt2 .

Explanation

Given data:

The parametric equation for the variable x is as follows.

x=1t2 (1)

The parametric equation for the variable y is as follows.

y=2tt2 (2)

The range of t is 1 to 2 .

Calculation:

The value of t is increased from 1 to 2 with a step value of 1 and substituted in the Equations (1) and (2) to obtain the value of x and y respectively.

Substitute 1 for t in the Equation (1).

x=1(1)2=11x=0

Substitute 1 for t in the Equation (2)

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