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# Category Archives: Parametric Equations and Curves

## Parametric Equation Sketch & X–Y Equation Conversion example question

Sketch the given Parametric Equation and find its corresponding XY 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 XY 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 XY 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 XY 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 XY 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 Linesexample

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 Lengthexample 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!

## Calculus problems (complete Playlist)

Find a variety of Calculus examples and practice problems to help you improve in Calculus 1, Calculus 2, Calculus 3, and more courses.

Topics include limits, continuity, differentiation, integration, parametric equations, polar coordinates, sequences and series, application problems, and more!