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!

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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!

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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!

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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!

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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!

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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!

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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 v_o. Parametric equations for its path can be shown to be x = v_otcos(α), y = v_otsin(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, v_o = 32 ft/sec, g = 32 ft/sec ².

 

Solution to this Parametric Equations of a Projectile practice problem is given in the video below!

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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!

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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!

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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!

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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!

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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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