   Chapter 10, Problem 7RQ

Chapter
Section
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.7. The parametric equations x = t2, y = t4 have the same graph as x = t3, y = t6.

To determine

To find: Whether the given statement is true or false and explain with an example if necessary to prove your answer.

Explanation

Given:

The first pair of given equation follows.

x=t2 (1)

y=t4 (2)

The second pair of given equation follows

x=t3 (3)

y=t6 (4)

Calculation:

Substitute the value of 1 and 1 for t in equation (1) and (2)

When t=1 ,

x=12=1

y=14=1

(x,y)=(1,1) (5)

When t=1 ,

x=12=1

y=14=1

(

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