Find the points on the ellipse 4x + y² = 4 that are farthest away from the point (1, 0). (х, у) %3D (smaller y-value) (х, у) %3D (larger y-value)

Q: Find an equation of the ellipse that has center (0, 5), a major axis of length 4, and endpoint of…

A:

Q: Find the equation of the line tangent to the ellipse x + 3y 19 at the point (4,1). (Type an…

A:

Q: Sketch the surface..........CYLINDERS.............x2 + 4z2 = 16

A: Here we have to draw the surface of cylinder having equation  x2+4z2=16

Q: 4. The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described…

A:

Q: At what point does the normal to y = 2 + 2x + 2x² at (1,6) intersect the parabola a second time?

A:

Q: Find the standard form of the equation of an ellipse with vertical major axis with length 16 and…

A: The solution follows as:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x, y) =…

A: We have to find the point which is farthest away from the point 1,0 at the ellipse: 4x2+y2=4 Writing…

Q: Find the distance from the point (−3,0,2) to the plane - 3x + y + 5z = 0

A:

Q: Two children weighing 18 and 20 kilograms are sitting on opposite sides of a seesaw, both 2 meters…

A:

Q: Show that the line b2xx1 + a2yy1 - a2b2 = 0 is tangent to the ellipse b2x2 + a2y2 - a2b2 = 0 at the…

A:

Q: image attached

A:

Q: ind the points on the ellipse  5x2 + y2 = 5  that are farthest away from the point (1, 0). smaller…

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x,y)=(?)…

A:

Q: center, horizontally, is the car when it is at an altituue Ul 23 IL! 2. A truck has to pass under an…

A:

Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). %3D smaller…

A:

Q: Find the orthogonal trajectories for the family of ellipses with centers at the origin and…

A:

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0).   smaller…

A:

Q: What is the highest point on the ellipse that is the intersection of the plane x + y + 2z = 2 and…

A: Given  the intersection of the plane x+y+2z=2 and the paraboloid z=x2+y2

Q: Determine the orthogonal trajectories of the family of ellipses 16x² + 121y² = C. Sketch some of the…

A:

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The…

A:

Q: Find the equation of the ellipse that has center C (0, 4), foci F1 (0,0) and F, (0, 8), and major…

A:

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: Find the equation of an ellipse centered at the origin with major axis of length 10 lying along the…

A: The standard form of an ellipse centered at origin helps to find the required equation of the…

Q: A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has.…

A:

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (1, 4) and (1, 0).

A:

Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). smaller…

A:

Q: find the surfase area of ellipsoid obtained by yevoiving the upper-half of the ellipse…

A:

Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

A:

Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). smaller…

A:

Q: |The length of the latus rectum of the ellipse defined by 25x²+9y² – 300x – 144 y + 1251 = 0 is А.…

A: To find  The length of the latus rectum of the given ellipse.

Q: What is the maximum area of a rectangle inscribed in the ellipse defined by x2/64 + y2/25 = 1? Enter…

A: Let the length and breadth of the rectangle as x, y respectively Area of rectangle = xy Now…

Q: Find the equation of the ellipsoid passing through the points (+8, 0, 0), (0,±7,0) and (0,0, ±3) = 1

A: The standard equation of an ellipsoid is x2a2+ y2b2 + z2c2=1where a, b , c are the length of its…

Q: A large racetrack can be modeled by the ellipse x² + y2 1, where x and y are 4 measured in…

A: Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: How close does the semicircle y = V16 – x² come to the point (1, v5)? |

A:

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

A:

Q: what is the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125?

A: Given5x+22+y−0.12=125

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The…

A: Explained below

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

A:

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

A:

Q: Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the…

A: To determine the equation of the ellipse.

Q: Find the maximum and minimum values of f(x, y) 3x+y on the ellipse +25 = 1 %3D maximum value:

A:

Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

A:

Q: An ellipse is centered at the origin and its major axis is on the x-axis. What is the equation of…

A: Explanation of the answer is as follows

Q: One successful method to treat kidney stones is by emerging the patient in an elliptical tank and…

A:

Q: Find the equation of ellipse referred to its major and minor axes as the coordinate axes x, y…

A:

Q: A suspension bridge with weight uniformily distributed along its length has twin towers that extend…

A:

Q: Find the equation of the horizontal ellipse that is centered at ( 15, 10), passes through the point…

A:

Q: What is the equation of normal to the ellipse 9y^2 + 4x^2 = 25 at (2,-1) ?

A: Slope of normal is -dx/dy  So we differentiate both sides with respect to x Then we plug x=2 and…

Q: A rectangle is to be inscribed in the ellipse described by x? + = 1. What should the dimensions of…

A: Given,  The equation of the ellipse x2 + y29 = 1  We have to find the dimension of rectangle with…

Q: Find the equation of the horizontal ellipse that is centered at ( 27,18), passes through the point (…

A: