(x-3)? (y+1)² = 1? 16 25

Q: b) Consider now the portion of the parabola which is below the line y = 2. Which points have the…

A:

Q: 3. What is the length of the minor axis of the ellipse given by the equation s + = 1? %3D 169 64…

A:

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: Given an ellipse with major axis of length 2a and minor axis of length 2b, the area is given by A =…

A:

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: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

A:

Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…

A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…

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: A cooling tower, such as the one shown in the figure, is a hyperbolic structure. Suppose its base…

A: Let the tower be a hyperbola centered at the origin as shown in the figure. Since the lowest…

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

A:

Q: 57. Use a change of variables to prove that the area of the ellipse with equation (-) + ) : -1 is…

A: Explanation: Given that, the standard equation of the ellipse is: x2a2+y2b2=1 Solve for…

Q: Mr. Yang's rugby team is facing the fighting bees next week. For the equation (x^2/a^2)+(y^2/b^2)=1…

A:

Q: Given an ellipse whose semi-major axis is 6 cm and semi-minor axis is 3 cm. What is the volume…

A: Explained below

Q: find the exact perimeter of the ellipse x2/a2 + y2/b2 = 1. (No approximations) please show all the…

A: Consider the provided question,

Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

A:

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: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

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

Q: A] Find the length of the arc of the semi-cubical parabola y² = x3 (1,1) and (5,5V5). between the…

A:

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

A:

Q: Q.2. Show that the area of the ellipse =1 is z ab. ab

A:

Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=16x2+4y2=16. What is…

A: Let A=the area of the rectangle x=half the base of the rectangle So, A=2x·216-x22;0≤x≤4   =2x16-x2…

Q: Given hyperbola   x2   −   y2   = 1   9         16       how do you determine the focal length?

A:

Q: x² y²=1? What is the area of the ellipse: + 36 16

A: For the calculation of area of ellipse,

Q: A rectangle with sides parallel to the coordinate axes is inscribed in an ellipse (Figure 12a)…

A: Let the length of the rectangle is = 2x  Let the height of the rectangle=2y (as shown in the…

Q: 10. What is the radius of the circle that has an area equal to that of the ellipse+¹=1 64

A: Follow the procedure given below.

Q: the sum of the distances from (x,y) to (-1,0) and from (x,y) to (1,0) is 4. show x and y is related…

A: Distance from (x,y) to (-1,0) is:  Distance from (x,y) to (1,0) is:

Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=49. What is the area of…

A: For maximization, equate the derivative of the function to 0 to get the critical points.Then check…

Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

A:

Q: Find the shortest distance +rom the point (0,5)to the ellipse 3 y? = x'

A:

Q: 26. Find the area of the largest rectangle that can be inscribed in the ellipse x²/a² + y°/b² = 1.

A: Topic- application of derivatives to find maximum area

Q: In the figure to the right, the equation of the solid parabola is y=x² – 14 and the equation of the…

A:

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

A:

Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

Q: 4. Find the area of the largest isosceles triangle that can be inscribed in the ellipse y2 = l. a2…

A: To find the area of the largest isosceles triangle.

Q: 25 E. A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror…

A: If we draw the parabola used to form the mirror on a rectangular coordinate system so that the…

Q: Given the ellipse (y – 6)? 121 9 what are the coordinates of the two foci? Select the correct answer…

A: Given : Ellipse  (x+5)2/121 + (y-6)2/9 = 1   To find : Coordinates of the foci?

Q: The figure below shows a lamp located three units to the right of the y-axis and a shadow created by…

A: Here we need to calculate equation of tangent line on given ellipse which passes through (-5,0)  If…

Q: State the type of the quadratic surface: ()* + () + 2? = 1 1. Hyperboloid of two sheets 2.…

A: Given equation represents surface  3. ellipsoid

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

A:

Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the…

A:

Q: The ellipse 6x² + 2x + y? = 1 has its center at the point (b, c) where b = c = The length of the…

A: The standard form of an ellipse is with (h,k) as the centre.

Q: A mirror for a reflecting telescope has the shape of a (finite) paraboloid of diameter 8 inches and…

A: It is given that, A mirror for a reflecting telescope has the shape of a (finite) paraboloid of…

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

A:

Q: Answer the following True or False: (x + 1)² Let (y + 8)? + + 8)? = 1 a2 62 be the equation of an…

A: SOLUTION: (x+1)^2/a^2+(y+8)^2/b^2=1 center=(-1, -8) but in question given center=(1,8) hence false

Q: A rectangle is inscribed in an ellipse so that two of its sides pass through the foci. If the x2…

A: The distance between foci of an ellipse x2a2+y2b2=1 is 2ae Where, e=1-b2a2 (a&gt;b)

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

A:

Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

A:

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

Q: 2. 3x + 5y? - 6x – 20y + 25 = 0

A: