and (4,-7) points on the curve 19 The mirror in Carl's flashlight is a paraboloid of revolution. If the mirror is 5 centimeters in diameter and 2,5 centimeters deep, where should the light bulb be placed so it is at the focus of the mirror? 20. A parabolic Wi-Fi antenna is constructed by taking a flat sheet of metal and bending it into

Q: Find the equations of the following conics and quadric surfaces relative to principal axes. 3x² +…

A: The answer provided below has been developed in a clear step by step manner

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: this conic is rotated counter-clockwise about the origin through an angle 37/4, rite the resulting…

A:

Q: After putting the equation into one of the two forms for the parabola, find the focus and directrix…

A: We have the equation of a parabola x2+6x-12y+33=0 We have to find focus and directrix The…

Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

A:

Q: Eliminate the parameter, An ellipse: x = h + a cos t, y = k + b sin t. Write the resulting equation…

A: Let's consider the given equations for the ellipse:…

Q: A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location…

A: Given

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.