hyperboloid cooling tower is 400 feet wide at its base and is 350 feet wide at its narrowest point and 400 feet above the ground. What is the equation of the hyperboloid that models the shape of the tower?

hyperboloid cooling tower is 400 feet wide at its base and is 350 feet wide at its narrowest point and 400 feet above the ground. What is the equation of the hyperboloid that models the shape of the tower?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter11: Conics

Section11.4: Hyperbolas

Problem 187E: Explain in your own words, how to distinguish the equation of an ellipse with the equation of a...

See similar textbooks

Related questions

Q: What is the length of the major axis of ellipse given by the equation X^2/81+ Y^2\144=1 ?

A: Given equation of ellipse is: x281+y2144=1

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola y =9x2 +x+c One x-intercept is -2. We have to find the value…

Q: find the equation for the parabolic cooker.

Q: The Coliseum in Rome is in the shape of an ellipse whose major axis measures 620 feet and whose…

A: length of major axis 2a=620 a=310length of minior axis 2b =514…

Q: Find the equation of the parabola given 3 points using quadratic formula. (33,-9) (49,23) (68,3)

A: We have to find the equation of the parabola given 3 points using the quadratic formula. The three…

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5

Q: John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to…

Q: How does the graph of the hyperbola open, if its equation is [(y2) / 36] - [(x2) / 25] = 1? Explain…

A: Explanation of the answer is as follows

Q: 8 -7 -6 -4 -3 to it

Q: Find the equation in standard form of the ellipse below: -8- -7- -6- 5- (2,5) (4,5) -4- 3- (4, 2) 1-…

A: Equation of the ellipse:

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

Q: A race track is in the shape of an ellipse. The track is 100 feet long and 50 feet wide. Find the…

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: According to Kepler, the orbit of the planet could be drawn as ellipse and with the sun as one of…

A: We have to find the equation of Pluto’s orbit when the orbit of the planet could be drawn as…

Q: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola . General equation of parabola : y = (x - h)2…

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

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: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: According to the figure, find the equation of parabola: - 2 (-2,1) -5

A: (y-k)2 = -4a(x-h) is a equation of parabola opening in negative direction of x-axis. (h,k) is vertex…

Q: The Arecibo Observatory in Puerto Rico was just decommissioned after sustaining a lot of damage, but…

A: It is given that, the height of the focus from the vertex is 500 feet and it is 1000 feet wide at…

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

Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7 . . .(1) Vertex form of a parabola is…

Q: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3 & k=7 Focus…

Q: Divide both sides of 4x² – 9y? = 36 by 36 and simplify. How does the simplified equation differ from…

A: Given- 4x2-9y2=36 To simplify- The above expression by dividing 36 in both sides and then state how…

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

Q: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

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

Q: Write the equation of the parabola that has "a" value 2 and roots -1 and 4.

Q: What is the equation of the parabola below? y (2.4) (3,1) -5

Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: A concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long and the…

A: Given that, a concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long…

Q: What are the solutions to the system of conics? *- = 1 x2 4 2 y? = 8 (x + 1) Drag the ordered pairs…

Q: Describe how to change an equation to translate the parabola vertically

A: We can translate the parabolic equations vertically. To produce the new parabola that is similar to…

Q: The towers of the Golden Gate Bridge connecting San Francisco to Marin County are 1280 meters apart…

A: The parabola is a u-shaped graph of a quadratic function. The general equation of a parabola is…

Q: A light on a wall produces a shadow in the shape of a hyperbola. If the distance between the two…

A: Given: Distance between the vertices of hyperbola is: 6 inches. Therefore: a=3, where a is the semi…

Q: An ellipse has an equation x² y2 = 4 9. 15 Find the value of b.

A: Given the equation of ellipse is To find the value of b

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: find the equation in standard form of the ellipse whose focu are F1(-8,0) and F2 (8,0) such that for…

A: Given foci F1(-8,0) and F2 (8,0) of the ellipse and we know that the center is (0,0) and that the…

Q: What are the coordinates of the turning 3) point for the graph of the parabola whose equation is y=…

A: Turning point of parabola (vertex)

Q: Always, sometimes, or never does there exist a number k where the equation 7x2 - 6xz - 2y2 - z2 = k…

A: Equation of hyperboloid of one sheet is: x2A2+y2B2-z2C2=1

Q: What are the coordinates of the turning point of the parabola whose equation is y=x² - 2r - 4? A)…

Q: write the equation into standard form of the equation of the ellipse 9x2+126x+4y2-32y+469=0

Q: -4. -2 2. -6

Question

A hyperboloid cooling tower is 400 feet wide at its base and is 350 feet wide at its narrowest point and 400 feet above the ground. What is the equation of the hyperboloid that models the shape of the tower?

Expert Solution