An ant is walking around an ellipse (as seen below). The ant starts at the top and walks around in a clockwise direction and it takes 2m minutes to go all the way around the ellipse. Select the correct values to create parametric equations that model the location of the ant with respect to time. 36) 7 (7, 1) -(-1, 1) 123456 14-3-2-

Q: Consider this hyperbola. 9(x+5)2 - 25(y-2)2 =225 a) find parametric equations to describe the…

A: (a) Rearrange the equation to find the equation of the parabola in the standard form. Then find the…

Q: Use the parameter to write parametric equations representing the given curve. Hyperbola with center…

A: Step 1:

Q: Match each equation to the conic section it creates. (x+5)² 25 a. + (y-2)² 4 b. 3x³ + 4y = 25 d. = 1…

A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

Q: Consider the following parametric equations: 12 - 8 3t – 16 and y = 2 X = 2 Step 2 of 2: Plot the…

A:

Q: 3. How can you determine the type of conic section represented by an equation in general form?

A: the general form of the equation of conic sectionis Ax2+Bxy+Cy2+Dx+Ey+F=0

Q: Write a pair of parametric equations for the conic section. t² Ox=-₁₁y=t x=t, y = t² 3 --2 +…

A:

Q: Find all integer solutions to the linear Diophantine equation, 0.05x + 0.14y +0.35= 10.29. Write…

A:

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A:

Q: 6. Find the standard form of r2 + 4y² – 2r + 16y + 13 = 0. Give the coordinates of the center and…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.