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: If the circle x^2 + y^2 = 1 is completely contained in the circle ^2 + y^2 + 4x + 3y + k = 0, then…

A: (a)The given circles arex2+y2=1       ....(1)and   x2+y2+4x+3y+k=0…

Q: Sketch the figure of the equation 4x^2-4xy+y^2-8x-y+6= 0

A: A function is a rule that fixes or associates a particular point . The function that can be…

Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: The equation of the parabola culminating at P (1,4) and through (3,0) is f(x)= ax^2+bx+c, so the…

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Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

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: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through point…

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Q: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through the…

A: First find the equation of the tangent. The point (1,2) is tangent to the given circle. The general…

Q: 1. Refer to Fig. 16.3.5, a computer-generated graph 3x-3x)/(1 + y^). Where are the maxi Figure…

A: We have to find the maximum and minimum points of given function.

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: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

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

A: Given,

Q: Corners of Fundamental Rectangle 10.    x^2/4-  y^2/49=1  12. (y-4)^2/64 -  (x+1)^2/4=1

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Q: a parabola which opens downward with endpoints of latus rectum in (-3,3) and (3,3) what is the…

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Q: .2 y = x", y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume…

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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: 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: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: Sketch the graph of 6y^2+ x - 36y + 55 = 0. Identify the foci an verticies.

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Q: In two-dimensional Euclidean space, consider a curve defined by the equation x^2 + y^2 - 6x + 4y -…

A: In this question, we are provided with a quadratic equation in two variables x and y. In a…

Q: Find the y-z trace of the graph given by z=5(x^2 + y^2)^-1/2 ; z + y^2 - 1/5 x^2 = 2 Pls explain…

A: y-z trace of a graph is given by putting x = 0 in the equation a) In the first graph, z = 5(x2 +…

Q: generate or sketch of graph y=6x^1/3+3y^4/3 and analyse it

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Q: Find the equations of the tangents drawn from the point (2,3) to the ellipse…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…