Write an orthogonal change of coordinates converting the equation of the conic 3x2+3y +3z+2ry+2rz +2yz 1 to the standard form

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: 15. x2 – 8x + 2y + 10 = 0 Equation:

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: 15. x2 - 8x + 2y + 10 = 0

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Q: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

A: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

Q: Write the equation of the Conic, given its graph.

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Q: Write the general conic

A: The standard equation of horizontal ellipse centered at h, k with semi major axis length a and semi…

Q: Identify the conic represented by the equation y2 + 4x + 2y - 15 = 0 without completing the square.

A: to identify the conic represented by the equation  y2+4x+2y-15=0

Q: Identify the conic represented by the equation 4x2 - 9y2 - 8x + 12y - 144 = 0, without completing…

A: 4x2-9y2-8x+12y-144=0 Comparing with Ax2+By2+Cx+Dy+E=0, we get A=4, B=-9, C=-8, D=12 & E=-144

Q: Write a step-by-step procedure on how to classify conic sections given their equation in general…

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Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: The equation of the conic is x2 + 10x -3y = -13.

Q: Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the…

A: Given 4x2 - 9y2 - 8x + 12y - 144 = 0

Q: Analyze each conic.

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Write the equation in standard form of the conic with the given characteristics: circle: diameter…

A: We find the center of the circle by finding the midpoint of P(-4,-3) and Q(-10,5)

Q: Classify the conic first, and then conv equation to standard form

A: The equation of given conic is -2x2+5y2+24x-20y-102=0 ......................(1)             Compare…

Q: Identify the conic represented by the equation 16x2 + 64x + 9y2 - 54y + 1=0, without completing the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 5. Describe the conic section C whose equation is

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Q: 3 Determine what kind of conic is represented by the equation r = 1-3sine

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

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Q: 9(X-2) -36

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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: 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: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

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

A: Explained below

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: First, we write x and y terms together, so it becomes, x2 - 4x + y2 - 4y = -4 By using completing…

Q: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: identify the conic section. Find the vertices and foci.

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Q: Find an equation in rectangular coordinates of the conic r = 16/5 + 3 cos θ

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Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

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Q: (x-10)² (y-2)² + 144 36

A: Given query is to find the general conic form.

Q: Consider the conic section described by the equation 6x^2 -4xy +9y^2 -20x-10y-5. Find the associated…

A: Consider the given equation of conic section, 6x2-4xy+9y2-20x-10y-5=0 The associated quadratic form…

Q: In Exercise, use a translation of axes toput the conic in standard position. Identify the graph,…

A: Given: x2+y2-4x-4y+4=0 The equation can be written as…

Q: Find the equation of the following conic in GENERAL form. Transverse axis endpoints (2,3) and (2,…

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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: Write the equation in standard form of the conic with the given characteristics: hyperbola: foci:…

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Q: Find an equation for the conic whose graph is shown: yA Directrix y = -12

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Q: Let (0,0) represent a water fountain which is located in a city park. Each day Jade runs through the…

A: Given information: Jade runs through the park along a path given by the equation,x2+y2- 200x-52500=0…

Q: Identify the conic represented by equation 16x2 + 64x + 9y2 - 54y + 1 = 0 without completing the…

A: A non degenerate conic section of the form Ax2 + Cy2 + Dx + Ey + F = 0,                 ----(i)…

Q: Identify and sketch the conic: 4x2 - y2= 4 b. Identify and sketch the conic: 9x2 +25y2+18x-108y…

A: Consider the conic  a.    4x2 - y2= 4 b.    9x2 +25y2+18x-108y -116 = 0

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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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: Identify the conic represented by equation y2 + 4x + 2y - 15 = 0 without completing the square.

A: y2+4x+2y-15=0

Q: Determine the center of the conic of equation: 16x² + 128r + 49y² + 588y = -1236. A) (4,6) В) (-4,…

A: Brief explanation of the answer is below.

Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

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