The equation of the ellipse that has a center at (9, 2), a focus at (5, 2), and a vertex at (4, 2), is (x – C)? (y – D)? 1 B2 A? where A B %3D D =

Q: Find the equation of the ellipse consisting of points P such that P F1 + P F2 = 12, where F1 = (4,…

A: Given that PF1+PF2=12, where F1=(4,0) and F2=(-2,0)

Q: The equation of the ellipse that has a center at (2, 4), a focus at (6, 4), and a vertex at ( – 3,…

A: Given information : center is (2,4) Center is (h,k). so the value of h=2  and k=4 Focus is (6,4) we…

Q: The equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0,…

A: The ellipse has its center at the origin with focus at 0,4 and vertex at 0,7

Q: The equation of the ellipse that has a center at (7, 3), a focus at (4, 3), and a vertex at (12, 3),…

A:

Q: 27. Find the points on the ellipse 4x? + y? away from the point (1, 0).enigsmuo 4 that are farthest…

A: Given: The equation of ellipse is given as, 4x2+y2=4. The objective is to find the point x,y on the…

Q: Find the maximum and minimum values of the function f(, y) = xy on the ellipse given y? by the…

A:

Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),…

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3,…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Foci: (0,0),…

A: Since foci lie on y-axis, so the ellipse is of type where (h,k) is center of ellipse and 2a is…

Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: The center of the ellipse is 0,0. The vertices of the ellipse are  0,7 and 0,-7. The focus of the…

Q: The equation of the ellipse that has a center at (10, 1), a focus at (7, 1), and a vertex at (15, 1)…

A: Given: Center (10,1) Vertex (15,1) focus (7,1)

Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: Vertices V (0,±5), minor axis of length 3

Q: Find the center and foci of the ellipse. (x+5) (y+9)² = 1 %3D

A: The given ellipse equation,(x+5)25+(y+9)29=1

Q: 4. §yʻ dz + 2ry³ dy, where C is the ellipse z + 2y? = 2.

A: To Determine: find the integral  Given: ∮y4dx+2xy3dy where C is the ellipse x2+2y2=2 Explanation: we…

Q: The equation of the ellipse that has a center at (6,5), a focus at (9, 5), and a vertex at (11, 5),…

A: Given :center :  6, 5 focus :  9, 5 Vertex :  11, 5

Q: The graph of x+6xy+ 25y = 16 is an ellipse. Find the coordinates of the points where the ellipse has…

A: see below the answer

Q: The equation of the ellipse that has a center at (9, 1), a focus at (5, 1), and a vertex at (4, 1),…

A:

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A:

Q: Consider the two ellipses in the x y plane given by the equations (x-1)2 2 =1 and (x+2)2 (y-5)2 62…

A: Given:  The given ellipse equations are x-1262+y232=1and x+2222+y-5242=1

Q: The equation x2 + xy + y² = 1 determines an below. ellipse in the xy-plane shown

A:

Q: The equation of the ellipse that has a center at (8, 2), a focus at (12, 2), and a vertex at (3, 2),…

A: Given :  An ellipse has a center at (8,2) a focus at (12,2) and a vertex at (3,2).

Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2),…

A: We will find the equation of ellipse as shown below

Q: The equation of the ellipse that has a center at (1, 4), a focus at (– 2, 4), and a vertex at (6, 4)…

A: center(1,4) focus(-2,4) vertex(6,4)

Q: Which of the following is the equation of a vertical ellipse with center (4,6) Major axis 18 and…

A:

Q: 26. Find the standard form of the equation of the specified ellipse. Foci: (1, 5), (-3, 5); Major…

A:

Q: F. dr, where C is the ellipse (x + 3)² + 5(y – 2)² = 16 and F(r, y, z) = x²i +y²j+ z²k.

A: The vector field is Fx, y, z=x2i+y2j+z2k. The curve C is x+32+5y-22=16. Obtain the parametric…

Q: The equation of the ellipse that has a center at (9, 2), a focus at (5, 2), and a vertex at (4, 2),…

A: Given that the center is at (9,2)  So, (C,D)=(9,2)  That means C=9 and D=2

Q: Find the standard form of the equation of the ellipse with the given characteristics. (x – 6)² , (v…

A: Center of the ellipse is the midpoint of (6,0) and (6,8) That is: Length of the major axis =…

Q: Consider the following. У 2 1- -3 -1 3 4 -1 -2 Find an equation of the ellipse. Find its foci. (х,…

A:

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). 2 2…

A: We want to find equation of the ellipse from the given data.

Q: The equation of the ellipse that has a center at (8, 5), a focus at (11, 5), and a vertex at (13,…

A: The equation of ellipse is: To find A, B, C, D

Q: Find the extreme values of f(x, y) = e¬¤y for the points on the ellipse x² + 4y? = 1

A:

Q: Find the equation for the ellipse with foci at (-1,3) and (5,3) and whose minor axis has a length of…

A: Given:- The ellipse with foci at (-1,3) and (5,3) and whose minor axis has a length of 4 units. To…

Q: What will be the equation of the ellipse with a center at the origin and passes through the points…

A: Given query is to find the equation of ellipse.

Q: The graph of the equation a? + xy + y = 5 is an ellipse lying obliquely in the plane as illustrated…

A: Given equation of ellipse x2+xy+y2=5 Since you have posted a question with multiple sub-parts, we…

Q: Find the equation of the ellipse whose foci are at (2,1 ) and ( 6,1),and the length of its major…

A:

Q: The equation of the ellipse that has a center at (4, 1), a focus at (0, 1), and a vertex at (– 1,…

A:

Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: The given ellipse is of the form whose major axis along the y axis  .The equation of this type of…

Q: The equation of the ellipse that has a center at (6, 1), a focus at (10, 1), and a vertex at (1, 1),…

A:

Q: The equation of the ellipse that has a center at (9, 4), a focus at (13, 4), and a vertex at (4,4),…

A:

Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

A:

Q: The equation of the ellipse that has a center at (8, 5), a focus at (5, 5), and a vertex at (13, 5),…

A:

Q: 13. Find the standard form of the equation of the ellipse satisfying the following conditions: Foci:…

A:

Q: The equation of the ellipse that has a center at (3,5), a focus at (-1,5), and a vertex at (−2,5) is…

A: Given: Equation of ellipse: (x-C)2A2+(y-D)2B2=1 Center: (3, 5) Focus: (-1, 5) Vertex: (-2, 5)

Q: The equation of the ellipse that has a center at (3, 2), a focus at (6, 2), and a vertex at (8, 2),…

A:

Q: The equation of the ellipse that has a center at (7, 3), a focus at (4, 3), and a vertex at (12, 3),…

A:

Q: Find the standard equation of the ellipse whose foci are F,(-3, 0) and F2(3, 0), such that for any…

A: Given:   Foci : (-3,0) (3,0)    Distance from foci : 10

Q: What is the standard equation of an ellipse with center( major axis of length 20 and minor axis of…

A:

Q: What is the distance from the center to the foci of the ellipse given by (2-3) (y+5) 26 1? 10

A: Please refer the attached image for complete solution. THANK YOU.

Q: The ellipse 15x^2+2x+y^2=1 has its center at the point (b,c) where b = c=

A: To find the center at the point b, c of the ellipse,15x2+2x+y2=1b=?c=?

Q: Find the standard form of the equation of the specified ellipse. 28. Foci: (6, 2), (0, 2); Major…

A: We need to find equation of ellipse.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.