05:53Parametric Equations Introduction, Eliminating The Paremeter t, Graphing Plane Curves, PrecalculusThe Organic Chemistry Tutor438views
Multiple ChoiceGraph the plane curve formed by the parametric equations and indicate its orientation. x(t)=−t+1x\left(t\right)=-t+1; y(t)=t2y\left(t\right)=t^2−2≤t≤2-2\le t\le2 81views
Multiple ChoiceGraph the plane curve formed by the parametric equations and indicate its orientation.x(t)=2t−1x(t)=2t-1; y(t)=2ty(t)=2\sqrt{t}t≥0t≥0 97views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = 3 − 5t, y = 4 + 2t; t = 1217views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = 7 − 4t, y = 5 + 6t; t = 1148views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = t² + 1, y = 5 − t³; t = 2220views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = t² + 3, y = 6 − t³; t = 2138views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = 4 + 2 cos t, y = 3 + 5 sin t; t = π/2156views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = 2 + 3 cos t, y = 4 + 2 sin t; t = π157views
Textbook QuestionIn Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = (60 cos 30°)t, y = 5 + (60 sin 30°)t − 16t²; t = 2152views
Textbook QuestionIn Exercises 9–20, use point plotting to graph the plane curve described by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t. x = t − 2, y = 2t + 1; −2 ≤ t ≤ 3177views
Textbook QuestionIn Exercises 15–16, eliminate the parameter and graph the plane curve represented by the parametric equations. Use arrows to show the orientation of each plane curve. _ x = √t , y = t + 1; −∞ < t < ∞201views
Textbook QuestionIn Exercises 9–20, use point plotting to graph the plane curve described by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t. x = 2t, y = |t − 1|; −∞ < t < ∞155views
Textbook QuestionIn Exercises 21–40, eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t. (If an interval for t is not specified, assume that −∞ < t < ∞. x = t, y = 2t168views
Textbook QuestionIn Exercises 21–40, eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t. (If an interval for t is not specified, assume that −∞ < t < ∞. _ x = √t, y = t − 1154views
Textbook QuestionIn Exercises 21–40, eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t. (If an interval for t is not specified, assume that −∞ < t < ∞. x = 1 + 3 cos t, y = 2 + 3 sin t; 0 ≤ t < 2π211views
Textbook QuestionIn Exercises 21–40, eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t. (If an interval for t is not specified, assume that −∞ < t < ∞. x = 2ᵗ, y = 2⁻ᵗ; t ≥ 0162views
Textbook QuestionIn Exercises 53–56, find two different sets of parametric equations for each rectangular equation. y = 4x − 3167views
Textbook QuestionIn Exercises 53–56, find two different sets of parametric equations for each rectangular equation. y = x² + 4166views
Textbook QuestionIn Exercises 57–58, the parametric equations of four plane curves are given. Graph each plane curve and determine how they differ from each other. x = t and y = t² − 4200views
Textbook QuestionIn Exercises 59–62, sketch the plane curve represented by the given parametric equations. Then use interval notation to give each relation's domain and range. x = t² + t + 1, y = 2t161views
Textbook QuestionIn Exercises 71–76, eliminate the parameter and graph the plane curve represented by the parametric equations. Use arrows to show the orientation of each plane curve. x = 2t − 1, y = 1 − t; −∞ < t < ∞163views
Textbook QuestionIn Exercises 71–76, eliminate the parameter and graph the plane curve represented by the parametric equations. Use arrows to show the orientation of each plane curve. x = 3 + 2 cos t, y = 1+2 sin t; 0 ≤ t < 2π186views
Textbook QuestionFor each plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve. See Examples 1 and 2.x = t + 2 , y = t ―4 , for t in (― ∞ , ∞)4views
Textbook QuestionGraph each plane curve defined by the parametric equations for t in [0, 2π] Then find a rectangular equation for the plane curve. See Example 3.x = 2 cos t , y = 2 sin t6views
Textbook QuestionGraph each plane curve defined by the parametric equations for t in [0, 2π] Then find a rectangular equation for the plane curve. See Example 3.x = 4 sin t , y = 3 cos t7views
Textbook QuestionGraph each plane curve defined by the parametric equations for t in [0, 2π] Then find a rectangular equation for the plane curve. See Example 3.x = 2 + sin t , y = 1 + cos t6views
Textbook QuestionGraph each plane curve defined by the parametric equations for t in [0, 2π] Then find a rectangular equation for the plane curve. See Example 3.x = 1 + cos t , y = sin t ― 16views
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