3.(a) What is the number of edges (lines) associated with a cube in dimensions 1, 2, and 3? 1-cube: 2-cube: 3-cube: (b) What would you expect the number of edges to be for a 4-D hypercube? Hint: See if you can visually extend the pattern for the edges in the figures you drew in problem #1. Answer: (c) What is the general formula for the number of edges of a hypercube in N dimensions?

Q: The following hyperbolas are confocal: x2/4 –y2/8 =1 and x2/6 –y2/k =1. What is the value of k

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Using the concept of Equation of parabola, compute, convert and graph the given problems. 1, 2, 3

A: The answer is below.

Q: Graph the parabola from Part 1. 22--20y

A: Given:        x2 = -2y This is the parabola with vertex at (h,k) = (0,0), and focal length |p| = 5…

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

Q: vertex

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Q: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

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Q: Please

A: Now differentiate it with respect to y and equate it to 0.

Q: PROBLEM 2 • Obtain a DE of the family of parabolas with axis parallel to x-axis. Draw some…

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.

A: Let's find differential equation.

Q: There is one point of intersection in the graphs of the conics. (x - 3) + (y+ 2) = 36 (y +2) = 8 (x…

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Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

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Q: 2. The points where a hyperbola intersects the line through the foci are called the

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

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Q: 1. Find the dimensions of the rectangle of maximum area, with sides parallel to the -1 16 coordinate…

A: Given ellipse is  x2144+y216=1 We need to find the dimensions of the rectangle of maximum area with…

Q: Given hyperbola   (y + 1)2   −   (x − 2)2   = 1       9                4         what will its…

A: Given: An equation of the hyperbola, y+129-x-224=1.

Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A…

A: The given hyperbola equation,        4y2-x2=4

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 6) are O Vertex = (-5, –6);…

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Q: A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two…

A: Answer

Q: 2. What are the vertices of this ellipse? 4 2 -8 -6 -4 -2 -2 O (-4, 2) and (4, 2) O (-5, 5) and (-5,…

A: The figure of the ellipse is given by To evaluate : The vertices of the ellipse.

Q: Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

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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: Determine the vertex, axis of symmetry, zeros, and y-intercept of the parabola shown below. 10 8- 7-…

A: We are given the following graph.

Q: ()- ()-, Write the equation of the hyperbola in standard form y - k = 1 a 9. 3+ 2 -12 -11 -10 -9 -8…

A: In the question it is asked to calculate the equation of hyperbola for the following graph given:

Q: In Problems ,the graph of an ellipse is given.Match each graph to its equation.

A: Vertex of ellipse: ±a, o  and  0, ±b for the following ellipse:x2a2 + y2b2 = 1

Q: Your dog is hyper and needs to go for a walk around the block. If your block is rectangular and the…

A: Solution ) walk around the rectangular block = perimeter of rectangle perimeter of rectangle = 2 ( a…

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: 1. The circle, the ellipse, the hyperbola, and the parabola are categories of sections.

A: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

Q: The distance from the center to a vertex of the hyperbola 4 16 is

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Q: How would you convince someone that y = (x + 3)2 is the basic parabola moved 3 units to the left but…

A: we have to tell how would we convince someone that y = (x + 3)2 is the basic parabola moved 3 units…

Q: The centre of a circle C lies at the focus S of a parabola y2 = 4x and the radius of C is equal in…

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Q: Find the length of the latus rectum of an ellipse if its vertices are (1,−6),(1,2) and co-vertices…

A: Find the length of the latus rectum of an ellipse if its vertices are (1,−6),(1,2) and co-vertices…

Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

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Q: 1. Find the equation of the hyperbola satisfying the following conditions: Vertices 4. (+7,0) and e…

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Q: İThe hyperbola with vertices at (0, 3) and (0, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

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

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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: Two parabolas are given: - C₁ is the curve of intersection between y = 1-2² and 2 = - C₂ is the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, −7) and a transverse axis…

A: Ans (1) we have givenCo=Vertics of hyperbola (0,7) and (0,-7)⇒Compairing with co-vertice from (0, ±6…

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: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: What is an equation of the axis of symmetry of the graph of the parabola y=2x^2+3x+5. A y=-3/2 B…

A: Option D Is correct answer

Q: Sketch the graph and find the foci of the given hyperbola a. 4x2-9y2=36

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Q: Sketch the graph and find the foci of the given hyperbola 25y2-4x2=100

A: SOLUTION-

Q: A graph that was not shown in this section is the hyperboloid of one sheet, described by the…

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Q: 1-cube 2-cube 3-cube 2.(a) What are the numbers of vertices (corners) for the N-cubes you drew in…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A parabolic arch has a height of 16m and a width of 28m atthe base, If the vertex of the parabola is…

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…