
Concept explainers
To fill in the blank:
The continuous functions f and g with the interval I shows set of ordered pairs of [f(t),g(t)] is C . The equations given for C and t are and by x=f(t) and y=g(t) .

Answer to Problem 1E
The continuous functions f and g with the interval I shows set of ordered pairs of [f(t),g(t)] is plane curveC . The equations given for C and t are parametric equations and parameters by x=f(t) and y=g(t) .
Explanation of Solution
Given information:
The incomplete sentence is:
‘The continuous functions f and g with the interval I shows set of ordered pairs of [f(t),g(t)] is C . The equations given for C and t are and by x=f(t) and y=g(t) .’
A parametric curve is defined as the continuous function which is in the form of x=f(t) and y=g(t) .
So, these two equations are called as parametric equations for given curve which has the set of ordered pairs [f(t),g(t)] .
So, the complete sentence is:
‘The continuous functions f and g with the interval I shows set of ordered pairs of [f(t),g(t)] is plane curveC . The equations given for C and t are parametric equations and parameters by x=f(t) and y=g(t) .’
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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