%3D What is the largest output of the function x + y on the ellipse +y? = 1? A) V5 B) /6 C) V7 D) /25 E) V10

Q: Find the length of latus rectum of the ellipse 36x2 +25v²+72x-50y-839 = 0: Round off your answer to…

A: The given ellipse equation is 36x2+25y2+72x-50y-839=0. First write the equation in standard form as…

Q: ...***... .. . .. The area of an ellipse with axes of length 2a and 2b is nab. The percent change in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Find the maximum and minimum values f(x, y) = xy can take on the ellipse 4x²+y? = 16.

A: The given function f(x,y)=xy to the ellipse 4x2+y2=16

Q: Let a > 0 and b > 0. Show that the area of the ellipse x2/ a2 + y2/ b2 = 1 is ab

A: Given that, The equation of the ellipse  x2/ a2 + y2/ b2 = 1 , where a > 0 and b > 0. Solve…

Q: 1 -2? + 4x +3 16 y = where a is the horizontal distance in feet from the point at which (a) How high…

A: The height y (in feet) of the ball thrown by the child is  y=-116x2+4x+3 ..................(1)

Q: Find the largest and smallest values that the function ƒ(x, y) = xy takes on the ellipse x2/8 + y2/2…

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Q: Find the maximum and minimum values of the function f (x,y) = 2x² – y² on the ellipse p² + 2 (y –…

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Q: Find the maximum and minimum values f(x, y) = xy can take on the ellipse 4.x?+y? = 16.

A: Here we have to find maximum and minimum value of given function.  The solution is in 1st and 2nd…

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

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Q: he area of an ellipse with axes of length 2a and 2b is nab. The percent change in the area when a…

A: We have to find percent change in the area after increasing major axis and minor axis.

Q: Where does the line x = 1 + 3t, y = 2−t intersect (a) the x-axis (b) the y-axis (c) the parabola y =…

A: Parametric equations are a set of equations where 2 or more variables are dependent on one single…

Q: A parabolic arch has an equation of 7x + y- 260 0. Find the maximum height of the arch. units

A: The equation of parabolic arch is: 7x2+y-260=0

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Find the evolute of the parabola y=x2.

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Q: 1. Find the minimum and maximum values of f(x,y) : = x²y on the ellipse 4x? + 9y? = 36. %3D

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Q: Find the tangent to the ellipse x? + y² = 1 at P:(V2,1//2). %3D 4 ソ-Va z-Zol

A: Solution:-

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

A: We have the given function is f(x,y)=xy    ..... (1)   The equation of ellipse  x2+y24=1 Let…

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: What is the maximum area of a rectangle inscribed in the ellipse 25 + y? = 1?

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Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: 14. Evaluate [4x dæ + 5y“ dy if C is the portion of the ellipse 3x2 + 7y? = 21 in the first…

A: Explanation of the solution is given below....

Q: The area of an ellipse with axes of length 2a and 2b is A-πab. Approximate the percent change in the…

A: It is given that, the area of the ellipse with axes length 2a and 2b is

Q: Show that the ellipse x*/a? + y*/b? = 1 and the hyperbola x/A? – y/B² = 1 are orthogonal…

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

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Q: 1 Jl جمح The ellipse (4-x) a? (y-k)? = 1 is vertical a. a > b b. a < b +

A: To find the correct option

Q: What is the area of the ellipse x² 16 + y² 9 = 1?

A:

Q: Find the area of the ellipse given by x2/64+y2/ 4=1. Area =

A: Solution: The objective is to find the area of the ellipse given by x264+y24=1

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Find an equation of the parabola deseribed. Focus at (5, 0); vertex at (0, 0) O y = 20x2 O x = 20y O…

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Q: Fid the equation of the tanget to the parabola  x2 - 22x + 24y +169 = 0 at  the point whose focus…

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Q: Find the maximum and minimum values of f(x,y)=xy on the ellipse  4x^2+y^2=6

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Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

A: The general equation of the horizontal transverse axis hyperbola is given by,

Q: The device is a parabolic dish with a sound booster at its focus. The device is 6ft across and 20…

A: This question is based on parabolic equation.

Q: The area of the ellipse+: 25² = 1 is 30π. What is the value of a?

A: solution:-we know that the formula of area for an elipsex2a2+y2b2=1Area=πab

Q: Find the maximum and minimum values of f(x, y) = 7x + y on the ellipse x2 + 9y² = 1

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Q: Find the smallest outputs of the function x^2+2y^2 on the slanted ellipse x^2+y^2+xy=3

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Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y? = 36. Find the…

A: follow next step

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

A: Vertices of parabolas = (0,0), Foci on the y-axis.

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

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Q: 2 %3D what is the eccentricity of the ellipse (x+5)* + l6 y? = 16 ?

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Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

A:

Q: Let f(x, y) = x? + 4y. Find the extreme values of f on the ellipse x? + 2y? = 1.

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Q: Evaluate –dz , where C is the ellipse 4x² + 9y? = 1. %3D Yc z2 – 3z+2

A: Given: The equation: ∮C z3 + z + 1z2 - 3z +2dz Here C - ellipse of 4x2 + 9y2 = 1

Q: Find the area enclosed by the ellipse (x2/a2) + (y2/b2) = 1

A: Consider the given equation as x2a2+y2b2=1

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

A: Make equation of parabola

Q: Find the area enclosed by the ellipse x2  / a 2    +   y2   /b 2    =1

A: Given ellipse is The ellipse meet x-axis at points (-a,0) and (a,0) and y-axis at points (0,-b) and…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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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.