A hyperboloid of one sheet is any surface that can be described with an equation of the form x^2/a^2 + y^2/b^2 - z^2/c^2 = 1 Describe the traces of the hyperboloid of one sheet given by equation x^2/3^2 +y^2/2^2 - z^2/5^2 = 1

Q: Find the vertex of the parabola Y= 6X^2.+24X + 18 O (6, 2) O (2, 6) O (2,-6) O (2, 6)

A: We have to find

Q: Consider the Folowing equation of a quadric surface 4×^2+9y^2+9z^2=36 a. Find the intercepts with…

A: Given question is Consider the following equation of a quadratic surface4×^2+9y^2+9z^2=36. We have…

Q: On a rectanglular coordinate system graph the equation and label the points on the graph…

A: Consider the given function, y=x3-1   Calculate the y-values of the graph at the given x-values.…

Q: Find the equation of the radical axis of the circles 3x^2 + 3y^2 -6x -30y +30=0 and 4x^2 + 4y^2 -32x…

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Q: what is the standard formof ellipse whose foci are f^(1)(-8,0) and f^(2) (8,0)

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Q: Sketch the graph in 2D and 3D of the following : 1. X^2 + z^2 = 1 2. X^2 + z^2 = 4

A: 1. Given: Put x=1 and x=-1 in the given expression. Put x=-1 in the given expression. Put z=1 in…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 + y^2/12^2 = 1. The…

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Q: A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex…

A: NOTE: Refresh your page if you can't see any equations. . solve this equation for y the point…

Q: Find the equation of the circle that passes through the intersections of the circles x^2 + y^2 -8x -…

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Q: Show a rough sketch of the graph of x^2 + y^2 = z^4

A: Given,

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The…

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Q: parametrically define the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2 = 1

A: The parametric representation of the elliptic hyperboloid of 2 sheets given by 4x2−y2−z2=1…

Q: - The surface 5x^2 + 2z^2 = 3y is heading towards which axis? - Identify the surface generated by…

A: 5x^2 + 2z^2 = 3y x= 3n1 ,  y = -3(5n12 + 2n22) , z = 3n2

Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: he equation of a clove ret :0 a given sustem of axes is 3X^2+2xy+3y^2=10 ind its equation if the…

A: With the given notation , we have    x=x'cos45-y'sin45=x'-y'2and  y=x'sin45+y'cos45=x'+y'2

Q: Find the transverse axis of the hyperbola whose equation is: x^2/4-y^2/9=1x^2/4-y^2/9=1 Group of…

A: Given equation of hyperbola x24-y29=1 key points   ;  The transverse axis is the axis of a hyperbola…

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

A: Explanation of the answer is as follows

Q: the general equation От а ircle with center (4,-1) and a rac of 7 units * ) x^2+y^2-5x-5y-31=0 )…

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Q: Sketch the graph of the equation in xyz coordinate system and identify the surface 8x? + 4y? – z2 =…

A: Sketch the graph for the given surface.

Q: ic equation with its corresponding soluti 2x^(2)-4x+5=0

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