A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet (see the photo on page 839 ). The diameter at the base is 280 m and the minimum diameter,500 m above the base, is 200 m. Find an equation for the tower.

Q: .what does the axis of symmetry do to the parabola?

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Q: The x-axis and the y-axis are asymptotes of the equilateral hyperbola whose equation is xy = 9. Find…

A: Given: xy=9 we know that length of transverse axis and conjugate axis is equal for rectangular…

Q: What is the (unsigned) distance between the vertex and the focus of the parabola given by (x + 4)² =…

A: Given parabola equation,x + 42 = 19y + 5

Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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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: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: Find an equation for the indicated half of the parabola.Left half of (x + 3)2 = y + 2

A: We have the given equation of parabola   the equation is (x + 3)2 = y + 2   we have to find the…

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

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Q: find the maximum area of a rectangle inscribed in an ellipse whose equation is 4x^2+25y^2=100

A: Solution: 4x^2+25y^2=100 The equation is divided by 100 4x2100+25y2100=100100x225+y24=1 or…

Q: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: A cable suspended between two posts that are of the same height and 20 meters apart has a sag of 1/2…

A: Given: A cable suspended between two posts that are of the same height and 20 meters apart has a…

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: The outer door of an airplane hangar is in the shape of a parabola. The door is 140 inches across at…

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Q: Given an equation of a parabola (x − h)2 = 4p(y− k) or (y − k)2 = 4p(x − h), how can you determine…

A: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is…

Q: A satellite dish is being designed so that it can pick up radio waves coming from space. The…

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Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: Given a cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of…

Q: A rectangular object 25 m wide is to pass under a parabolic arch that has a width of 32 m at the…

A: The arch can be modeled by the vertex form of a parabola centered at the origin with the base being…

Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

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

A: Ellipse

Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

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Q: Find the minimum distance from the point (4, 2) to the parabola y² = 8x. A 4/3 (B 2/2 /3 D 2/3

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Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: A geometry textbook gives the equation of a parabola as y = x^2, where x and y are measured in…

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Q: Find the point on the parabola y 2 =2x that is closest to the  point ( 1, 4)

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: Why is distance between vertices for hyperbola equal to 2a?

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Q: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: The parabola y=x^2y=x2y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.…

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Q: How is the distance between vertices for hyperbola equal to 2a?

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Q: Find the point on the parabola y=x2 closest to (6,3

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Q: What is the x-coordinate of the vertex of the parabola whose equation is y=3x^2+9x -3 -2/3 -1 1/2

A: Given : y= 3x2 +9x

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

A: Cross - section of nuclear power plant

Q: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid,…

A: Given: A sound receiving dish used at outdoor sporting events is constructed in theshape of a…

Q: What is the length of the latus rectum of the parabola: y2 – 4y – 8x – 28 = 0?

A: Given, y2 – 4y – 8x – 28 = 0 General equation of parabola with center (h,k) (y-k)2=4a(x-h)    ---(i)

Q: What is the perimeter of the central rectangle for the hyperbola -16x² + 9y² + 96x + 54y – 207 = 0?…

A: Given:      -16x2+9y2+96x+54y-207=0        y-k2a2-x-h2b2=1 is the standard equation for up-down…

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

Q: Find the equation of the parabola with directrix x + 2 = 0, axis y = 4, and latus rectum 4.

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Q: The area and perimeter of the given ellipse are given by the equations 2n va? +b2 with 0 < a < V2…

A: Given  Area=abπ Perimeter=2πa2+b22 0≤a≤2 0≤b≤2   Perimeter of the ellipse fixed at a value of 2π ft

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: Find the equation of the parabola whose vertex lies at (0,-2) and directrix at x=2

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Q: Find the dimensions of the rectangle with maximum area that can be in- bed in the ellipse x²/a² + y²…

A: Dimensions of the rectangle with maximum area that can be inscribed in ellipse  x2a2+ y2b2= 1

Q: The cross section of a power plant cooling tower is in the shape of a hyperbola.  the base diameter…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.