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Parametric Equation problems
Parametric Equation Sketch & X–Y Equation Conversion example question
Sketch the given Parametric Equation and find its corresponding X–Y Equation:
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Equation Sketch & X–Y Equation Conversion example problem
Sketch the given Parametric Equation and find its equivalent X–Y Equation:
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Equation Sketch & X–Y Equation Conversion example
Find Parametric Equations from the given X–Y equation:
Circle with radius 3, centered at (2, 1) and drawn counterclockwise.
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Equation Sketch & X–Y Equation Conversion example question
Derive Parametric Equations from the given X–Y equation:
Line from (-2, 4) to (6, 1).
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Equation Sketch & X–Y Equation Conversion example problem
Find Parametric Equations by using the given X–Y equation:
from (2, -2) to (0, 2).
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Equations: Points of Intersection of Two Curves example
Find the coordinates of the points of Intersection of two given Parametric Curves:
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Equations of a PROJECTILE example problem
A projectile is fired at an angle of inclination α, with 0 < α < π/2, at an initial speed of vo. Parametric equations for its path can be shown to be x = votcos(α), y = votsin(α) – (gt ²)/2, with t representing time.
a) Eliminate the t parameter and find the value of t when the projectile hits the ground.
b) Sketch the path of the projectile for the case α = π/6, vo = 32 ft/sec, g = 32 ft/sec ².
Solution to this Parametric Equations of a Projectile practice problem is given in the video below!
Parametric Equations: Object Position, Velocity & Speed example question
Find the Position, Velocity and Speed of an Object by using the following Parametric Equation:
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Slope of the Parametric Curve example problem
Find the Slope of the Tangent Line to the Curve
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Curves: Coordinates of the Points of Vertical & Horizontal Tangent Lines example
Find the Coordinates of the Points of Vertical and Horizontal Tangent Lines to the Curve
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Curves: Arc Length example question
Find the Arc Length of a Parametric Curve
Solution to this Parametric Equations & Curves practice problem is given in the video below!
Parametric Curves: Area example problem
Find the Area enclosed by a Parametric Curve
in the interval
Solution to this Parametric Equations & Curves practice problem is given in the video below!
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