The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0 3.2 3.4 3.6 O O

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: Determine the greatest and least distance from the origin to a point on the ellipsoid 9x2+4y2+z2=36

A: Here is the solution of the given problem. Application of Lagranges Multiplayer.

Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

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

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Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: What is the area of the region bounded by the ellipse with the equation x^2+9y^2+3x-18y+9=0

A: Topic:- area of ellipse

Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: Find the length of a,b,c of the hyperbola: y^2-x^2=1

A: The given equation of hyperbola is: y2-x2=1

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: Find the equation of the hyperbola with center (o, o), a vertex at (5, o) and an extremity at (o,…

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Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

Q: A rectangle is to be inscribed inside a semi-ellipse + = 1, -2 <IS2 and 0 y S 3. Give a rough sketch…

A: Solution is here

Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has the height of 16 feet.…

A: Solve for the

Q: The area of the triangle formed by the tangent and the normal to the parabola y = 4ax both drawn at…

A: Given  the parabola y² = 4ax both drawn at the same end of the latus rectum and the axis of the…

Q: Find the dimensions of the largest rectangle that can be inscribed in the ellipse 9x² + 16y² = 144.…

A: 9x2+16y2=1449x2144+16y2144=1x216+y29=1x242+y232=1it is in the form of ellipse…

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

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Q: the area of the ellipse 9x^2 + 8y^2 = 72 answer: 26.7

A: To Find: Area of the ellipse  9x2+8y2=72

Q: Find the perimeter of the ellipse x2/a2 +y2/b2 = 1, where a &gt; b &gt; 0.

A: The perimeter of Ellipse with Radii a and b is given by: In our question the radii is a and b Hence…

Q: Find the dimensions of the largest rectangle with sides parallel to the axes that can be inscribed…

A: Let the dimension of such a rectangle be 2x by 2y. Clearly (x, y) is point on the ellipse.

Q: Find the envelope of the family of ellipses defined by the equation x2/a2+y2/b2=1 provided that…

A: The equation of the family of ellipses is given by provided that  So, the equation of family of…

Q: for the ellipse 4x^(2) +y^(2) +24x -2y +21 = 0, find its area

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Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: Find the equation of the ellipse whose foci are at (7,3) and ( 21,3),and the length of its major…

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Q: Write the equation of the ellipse 4x + 9y² + 72x + 108y + 612 = 0 in standard form. O (*+9)² +…

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Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: Write the equation of the ellipse 4x + 9y + 72x + 108y + 612 = 0 in standard form. O (e+9)² + (y+6)°…

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

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Q: Find the area inside the ellipse x2a2+y2b2=1.

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Q: Find the point on the ellipse x2 + 6y² + 3xy = 40 with the largest x-coordinate (Figure ). -8 FIGURE…

A: Given: x2+6y2+3xy=40

Q: Determine the eccentricity of the ellipse given by 9x² + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51 O…

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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: Find the area enclosed by the ellipse b²x² + a²y² = a²b².

A: Let's find the answer.

Q: Find the length of the diameter of the ellipse 3x2+y2 +2x-6y=0. Which has a slope of 2.

A: Ellipse

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: Compute the length of the latus rectum of the ellipse x2 + 2y2 +4x+ 4y +4=0

A: Given:    x2 + 2y2 +4x+ 4y +4=0

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). %3D (х, у)…

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Q: 4. Evalaute fe xyds, where C is the portion of the ellipse 4 y =1 in the first 16 quadrant, oriented…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

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 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 length of the latus rectum and distance between the foci of the conic section: 16x^2…

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Q: . The general form of equation of an ellipse is given by Ax + Cy + Dx + Ey +F = 0, where A and C are…

A:

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

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: Find the volume of the solid formed if we rotate the ellipse+ = 1 about the line 4x + 3y = 20.

A: Calculation of Volume.

Q: 5. What is the general form of an ellipse with foci at (0, +2), and vertices at (0, ±4)? 2x + 4y = 0…

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

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: 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 dimensions of the rectangie of largest area that can be inscribed in the ellipse x + 256y =…

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Q: Determine the eccentricity of the ellipse given by ײ + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51…

A: