ELIMINATING THE PARAMETER IN PARAMETRIC EQUATIONS

Problem 1 :

(a) Eliminate the parameter from

x = 3t

y = t² + 1

(b) Sketch the graph of that curve for parameter values

-1 ≤ t ≤ 3

Indicate the orientation of the curve.

Solution :

Problem 2 :

(a) Eliminate the parameter from

x = 4cosθ

y = 9sinθ

(b) Sketch the graph of that curve for parameter values

0 ≤ θ ≤ π

Indicate the orientation of the curve.

Solution :

Problem 3 :

Eliminate the parameter in the parametric equations :

x = cosh t

y = sinh t

Solution :

Problem 4 :

Eliminate the parameter in the parametric equations :

x = sin t

y = cos 2t

Solution :

Problem 5 :

(a) Eliminate the parameter from

x = 3t

y = t² - 1

(b) Sketch the graph of that curve for parameter values

0 ≤ t ≤ 2

Indicate the orientation of the curve.

Solution :

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