Exam 10: Parametric Equations and Polar Coordinates

Find parametric equations to represent the line segment from

A cow is tied to a silo with radius by a rope just long enough to reach the opposite side of the silo.Find the area available for grazing by the cow.Round theAnswer to the nearest hundredth.

Select the correct Answer: for each question. -Find an equation for the conic that satisfies the given conditions.hyperbola, , vertices (0, ±

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Find an equation for the conic that satisfies the given conditions.parabola, vertex (0, 0), focus

Find the area that the curve encloses.

Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the curve.

If a projectile is fired with an initial velocity of meters per second at an angle bove the horizontal and air resistance is assumed to be negligible, then its position after seconds is given by the parametric equations where g is the acceleration of gravity If a gun is fired with and when will the bullet hit the ground?

True or False? If the parametric curve satisfies then it has a horizontal tangent when

Find the equation of the directrix of the conic.Select the correct Answer

Select the correct Answer: for each question -Find the exact area of the surface obtained by rotating the given curve about the x-axis.

Find an equation for the conic that satisfies the given conditions.ellipse, foci length of major axis 8

Find an equation for the conic that satisfies the given conditions.Select the correct Answerellipse, foci length of major axis 8

Set up an integral that represents the length of the curve.Then use your calculator to find the length correct to four decimal places.

Find the area of the region enclosed by one loop of the curve.Select the correct Answer

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Find the length of the curve.Select the correct Answer

Select the correct Answer: for each question -The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity and one focus at the Sun.The length of its major axis is AU.[An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun.(The perihelion distance from a planet to the Sun is and the aphelion distance is Find theAnswer in AU and round to the nearest hundredth.

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Find the area bounded by the curve and the line