Q5: Find the coordinates of vertices of the hyperbola x² – 4y2 – 4x – 8y – 4 = 0 - - (-1,4),(-1,0) (0,1),(5,1) (0,-1),(4,-1) (-1,0),(-4,-1) (-4,0),(-4,1) (1,0),(1,4)

Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: Classify each conic section. 23) 2y + x + 8y + 11 = 0 24) x + y + 4 = 0 25) -x + 6x + y – 6 =0 26)…

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Q: 5. Calculate the area of a regular hexagon inscribed in a circle of radius 1 unit. a. 1.316 units b.…

A: Area of equilateral triangle = 34 a2 ; where , 'a' is the sides . Note : As per our Guidelines , we…

Q: Find the point on the plane x − 2y + 3z = 6 that is closest to the point (4,2,0).

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Q: Find the point on the plane x – 2y + 3z = 6 that is closest to the point (0,1,1).

A: First we find out normal vector to the given plane than find out the point that is closed to the…

Q: Find the point on the plane x – 2y + 3z = 6 that is closest to the point (0, 1, 1).

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Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: Q6A A-Graph the cubic shape formed by connecting the eight points {(0,0,0),(0,1,0),(2,0,0),…

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Q: What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

A: Write equation of parabola

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Which is the corresponding equation of a hyperbola with vertices at (11, 0) and (−11, 0) and…

A: The question is solved below.

Q: The vertices of the hyperbola y = 5+ ( x² + 9 )0.5 are Select one: O(0,-3) and (0,3) O(8,0) and (…

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Q: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

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Q: A. Find an equation of the hyperplane H in R° that passes through P(1; 3; 5; -1,4) and is nomal to…

A: Let's see the concept. Concept:- Equation of hyperplane H in R5 that passes through(p, q, r, s, t)…

Q: 1. Give the coordinates of the center, foci, vertices, and the asymptotes of the hyperbola with the…

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Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

Q: 1) The hyperbolas 6² x ² - a²y² = a) xyy" + x(y²) ²³²- yy²=0 b) xyy" - x (y² 7² - y₁² = c) xyy" - x…

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Q: 1. Give the coordinates of the center, vertices, covertices, and foci of the ellipse with the given…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

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: 4) Consider the images of the hyperbolas r - y = ±c? under the mapping f(2) = 22, where c > 0. Show…

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Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Problem number 8 is solved. Solving more than one question is against the policy of bartleby.

Q: The vertices of a hyperbola are at (-5, -2) and (-5, 12), and the point (-5, 30) is one of its foci.…

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Q: The vertex of the parabola f(z) = z²+ 14z + 10 is %3D

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Q: Show that the line b2xx1 - a2yy1 - a2b2 = 0 is tangent to the hyperbola b2x2 - a2y2 - a2b2 = 0 at…

A: Find dy/dx.Then find dy/dx at the point (x1,y1) by plugging x=x1 and y=y1

Q: IV. Transform the given general form of the equation of a parabola into its standard form 1. y = 4…

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this: (x -…

Q: 9. Find an equation of the hyperbola whose transverse axis is horizontal, with center at (2, –2) and…

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Q: Find the point on the sphere x2 + y2 + z2 = 4 farthest from the point (1, -1, 1).

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Q: The center of the hyperbola 25x² – y + 150x – 6y+191=0 is %3D A (-3,-3) B (3,-3) (3,3) D (-3,3)

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Q: Find an equation of the ellipse with foci at (-5,9) and (-5,-10) and whose major axis has length 22.…

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Q: The line L(t) = (2+1,8-31, 2t-6) intersects the plane 2y - 3x + 3z = -11 at the point

A: Given, the line             Lt=2+t, 8-3t, 2t-6                                   ...(1) Intersects…

Q: Find the equations of asymptote lines of the hyperbola y-x2+ 14 x-8y 37 Select one: O None Oy =…

A: Given, y2-x2+14x-8y=37

Q: The equatione of aeymptotes of the hyperbola 16 (y-3)2-9(x-4)2-144 are Select one: O 9(y-3) = + 16…

A: We have to find the equation of asymptote for the given hyperbola . Since the given hyperbola is…

Q: The Foci of the hyperbola y = 5±(x² -18)0.5 are Select one: 0(-6,5) and (6,5) O(0,11) and (0,-1) 0(…

A: Given: The equation of hyperbola as y=5±x2-180.5, To find: The foci of the hyperbola.

Q: IV. Name the conic section, based on the equation. x²+y +333x+444y+777 =0 3x + 2y? +12x- 4y+2=0…

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Q: Find the asymptotes of the hyperbola. (x- 2)? (y-42 = 1 16 %3D 9. 4 4 O A. y=(x-2) and y= -(x-2) 3 3…

A: Given:        x-229-y-4216=1

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: 4x? + у? - 327 25 3z2 = 25

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Q: 1. Trapezoid JKLM with vertices J(-6, 6). K(-3,7), L(-1.3), and M-8, 0): (x, y) (x+7, y-3) J'() K'…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with…

A: Note:-  In the given questions No. 7 is incomplete because in this option(a) is missing + and -…

Q: Find the equation of the plane through the point P = (5, 3, 3) and parallel to the plane 3y – 5x –…

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Q: And identify what conic section  -x^2+4y^2-8y-96=0

A: Given -x2+4y2-8y-96=0

Q: The vertex of the parabola f(z) = z² + 18z + 7 is %3D о (-18, -54) O (-9,-67) о (-9, -74) о (-18,…

A: The given parabola equation is f(x) = x2 + 18x + 7

Q: Find the equations of asymptote lines of the hyperbola y-x2+14 x - 8 y = 37 Select one: O None…

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Q: . Find the vertices of the hyperbola. 16x2 - 9y? = 144 %3D (0, O (0, - 3) and (0, 3) O (0, - 4) and…

A: This question is related to hyperbola, We will solve it using given information.

Q: 6. Find the parabola y = ax² + bx +c passing through the points (–2, –6), (1, 6), and (3, 4).

A: Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points xn…

Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: 33) Find the points of intersection between the line x - y - 2 = 0 and the parabola y = 4 - x 2.

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