The vertices of the hyperbola y = 5+ ( x² + 9 )0.5 are Select one: O(0,-3) and (0,3) O(8,0) and ( 2,0) O None O(0,8) and (0,2) O(5,8) and ( 5, 2)

Q: Identify and sketch the conic 4x2 + y2 -8x + 4y - 8 = 0

A: Consider the standard form Ax2+Bxy+Cy2+Dx+Ey+F=0  Here if A=C≠0…

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

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Q: The part of the hyperboloid 4x 2 - 4y2 - z2 =4 that lies in front of the yz-plane

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Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

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Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

A: Given problem:- Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex…

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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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: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: Find the center, vertices and foci of the ellipse x² +4 y² -8 x-8 y= 44 Select one: O Center = (…

A: Equation of the given ellipse is x2+4y2-8x-8y=44. Rewrite the above equation in standard form…

Q: Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy +…

A: To find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy…

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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Q: Identify the type of conic from the discriminant.Xy-2 = 0 , =45

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Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

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Q: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: 2. Find an equation of the sphere that passes through the point (2, 3, –1) and has center (-3, –1, –…

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Q: Find the coordinates of the foci of the ellipse with vertices at (11,3) and (-15,3) and has minor…

A: To find the coordinates of the foci of the ellipse with vertices at 11, 3 and -15, 3 and has minor…

Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: Determine the type of conic: 16. 2x2-4xy + 8y2 +7 = 0 17. 2xy-x + y-3 = 0 %3D %3D

A: The general equation of conics is given as Ax2+Bxy+Cy2+Dx+Ey+F=0, where A,B,C,D,E and F are real…

Q: Find an equation for the conic whose graph is shown. 2 (4, 2) 2

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Q: In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given…

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

Q: 18. Find the foci of the hyperbola. -号=1 * = 46 O (0, 7), (0, – 7) O (9, 0), (–9, 0) O (0, 9), (0, –…

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Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices…

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

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Q: What is the relation of the conic section to the milk bottle?

A: The milk bottles have a cylindrical body in majority.  Now, if you can imagine a milk bottle filled…

Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Standardize the conic whose equation is 7x2 + 4xy + 4y2 - 2x - 6y + 1 = 0.

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Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: Find the equation of the hyperboloid of one sheet passing through the points (+2, 0,0), (0, ±6, 0)…

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Q: Identify the graph of non-degenerate conic whose equation is: x2-8x-12y=44

A: Explained below

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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

A: We have to find vertices of hyperbola.

Q: Find an equation for the conic whose graph is shown. y F (6, 0)

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Q: What is the general equation of the conic section passing through the points  A(0,1), B(2,3),…

A: Given points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)   General equation:  ax2 + bxy + cy2 +…

Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

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

Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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Q: Determine the type of conics for each equation using the discriminant. 20. 5x2 + 2x + 3y - 5 = 0 21.…

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Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

Q: 29. Find the vertices of the hyperbola. (y-8)? 4 (+12)2 6. 3D1 O (-9, 8), (–15, 8) O (-10, 8), (–14,…

A: Given: (y−8)24−(x+12)29=1 Equation of hyperbola opening upward and downward in standard form follows…

Q: Find the ODE of the family of hyperbola center at the origin.

A: Find the ODE of the family of hyperbola center at the origin.

Q: Identify the conic section and graph. (x-5)^2/100-(y+3)^2/64=1

A: We can compare the given equation with: So the given equation is a hyperbola.    Comparing we get:…

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 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: Sketch the hyperbola. (x – 9)2 - (y – 3)² . 16 4 y y 15 15 1아 10 15 -10 -5 5. 10 15 15 -10 -5 10 15…

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Q: The vertices of hyperbola: 9z? – 4y² = 36, will be Select one: O (0, ±3) O (12,0) O (+3,0) O (0, ±2)

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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…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.