Ellipse Questions and Answers

An equation of an ellipse is given. x2/25 + y²/16 = 1 25 16 (a) Find the vertices, foci, and eccentricity of the ellipse.

The plane x + y + 2z = 12 intersects the paraboloid z = x² + y² in an ellipse. Find the points on the ellipse that are nearest to and farthest from the origin. nearest point (x, y, z) = farthest point

Find the equation of the ellipse with the center (6,3), a focus at (3,3), and a vertex at (11,3).

Graph the given ellipse. Identify the domain, range, center, vertices, endpoints of the minor axis, and foci in the figure. (x-1)²/4 + (y + 1)²/9 =1 The center of the ellipse is (1,-1). (Type an

Consider the following equation of an ellipse. 9x² + 49y² +90x+ 392y + 568 = 0 Step 1 of 4: Rewrite this equation in the standard form of an ellipse. Answer

Find the equation of the ellipse with the following properties. Express your answer in standard form. Vertices at (-5, -2) and (-5, 12) Minor axis of length 2

Consider the following equation of an ellipse. (x+2)^2 /9 + (y-1)^2 /81 =1 Find the center of this ellipse. Answer Enter the coordinates to plot points on the graph. center:

Consider the following equation of an ellipse. (x - 2)²/4+(y + 2)² /16 =1 Step 3 of 3: Find the coordinates of the two foci of this ellipse. Round your answer to two decimal places Enter the

An equation of an ellipse is given. (a) Identify the center of the ellipse. (b) Determine the value of a. (c) Determine the value of b. (d) Identify the vertices. (e) Identify the endpoints of the

An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet write the standard equation. x²/900+ y²/1600=1 x²/1600+ y²/900=1 x²/6400

Find an equation of an ellipse satisfying the given conditions. Foci: (-4, 0) and (4, 0) Length of major axis: 12

Graph the ellipse. Identify the center, vertices, endpoints of the minor axis, and foci. 8x²=160-5y² The center is (). The vertices are (Simplify your answer. Type an ordered pair. Type exact answers