parametric tests and nonparametric tests

Differentiation of Parametric Functions - If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet..

If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramete..

Find the parametric equations of the circle with center (5, 2) and radius 3. => x = 3 + 5 cos θ , y = 3 + 2 sin θ or x = 5 + 3 cos θ , y = 2 + 3 sin θ or x = 3 + 5 sin θ , y = 3 + 2 cos θ or x = 5 + 3 sin θ , y = 2 + 3 cos θ or x = 5 - 3 cos..

Which of the following is a parametrization of the circle with center (3, 4) and radius 5 ? => x = 3 + 5 cos θ , y = 4 + 5 sin θ , 0 ≤ θ ≤ 2 π or x = 3 - 5 cos θ , y = - 4 + 5 sin θ , 0 ≤ θ ≤ 2 π or y = - 3 + 5 cos π , y = 4 + 5 sin..

Find a parametrization of the line through the points A = (4, 4) and B = (2, 7). => x = 3 - t , y = 4 + 3 t , t ∈ (- 2, 10) or x = 3 - t , y = 4 + 3 t , t ∈ (0, 5) or x = 4 - 2 t , y = 4 + 3 t , t ∈ (-∞,∞) or x = 3 - t , y = 4 - 3 t..

Find the parametric equations for the line through the points A(- 3, - 5) and B(2, 3). => x = - t - 3, y = - 2 t - 5 or x = 8 t - 3, y = 5 t - 5 or x = - 8 t - 3, y = - 5 t - 5 or x = - 5 t - 3, y = - 8 t - 5 or x = 5 t - 3, y = 8 t - 5..

The graph with parametric equations x = 5 cos θ, y = 5 sin θ lies in quadrant II if => 270° < θ < 360° . or 90° < θ < 180° . or 180° < θ < 270° . or 0° < θ < 90° ...

The parametric equations of the path of a moving particle are x = 8 t + 8, y = 9 t - 2. Find the path of the particle. => an ellipse or a straight line or a circle or a parabola..

The parametric equations of the path of a moving particle are x = 7 t + 7, y = 8 t - 4. Find the path of the particle. => a circle or an ellipse or a parabola or a straight line..

Which of the following describes the graph of the parametric equations x = 2 + t , y = 4 t + 3, t ≥ 0? => a line segment or a straight line or a circle or a ray..