Consider the conic below a2 + 4xy+4y² – 2/5x + V5y = 0 and determine what is asked. 1) Counterclockwise rotation values 0 needed to eliminate the mixed term: • cos(20) • cos (0) • sen? (0) cos(8) • sen(0) • x = x' + y' • y = x' + y'

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

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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: Consider 13 -6v3zy+7y- 256 0. Classify the conic section and (2) calculate the angle of rotation of…

A: Given the equation of the conic section is  13x2-63xy+7y2-256=0                      (i) The general…

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

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Q: 9. Explain in your own words how to decide what kind of conic it is if you have the equation Ax? +…

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

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Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

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Q: Match the description of the conic with its standard equation. Hyperbola with vertical transverse…

A: We have to identify the standard equation of a hyperbola with vertical transverse axis. Let h,k be…

Q: Given the general form of all the conic sections: Ax + By + Cx + Dy+ E = 0 Choose what has to be…

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Q: 19. What type of conic section is given by the equation 4x+ 9y = 36? What are its domain and range?…

A: General equation of an ellipse is given by, x2a2+y2b2=1 Domain of a function y=f(x) is the set of…

Q: Trace the conic section 17x 12xy + 8y + 46x – 28y + 17 = 0 and find all of its properties. Also…

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Q: 1- Sketch the following conic sections: y2 -4y+8-4x² = 0 %3D a-. .2 b- .2 y-4y-4x =8 a 3(y – 5)2 –…

A: As per our company guidelines, we are supposed to answer only the first three subparts. Kindly…

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

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Q: Here is the equation of a conic section such that the ordered pair (Vx, Vy) corresponds to its…

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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: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given:…

Q: 1-Sketch the following conic sections: y2 - 4y +8- 4x2 = 0

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Q: 3. How can you determine the type of conic section represented by an equation in general form?

A: the general form of the equation of conic sectionis Ax2+Bxy+Cy2+Dx+Ey+F=0

Q: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given, The equation is 6x2 - 4xy + 9y2 -20x -10y - 5 = 0.

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

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Q: 5x 2 − 3xy + 4y 2 − 8x + 10y − 64 = 0 represents a non-degenerate conic Determine the type of…

A: Sign of discriminant i.e. B2-4AC determine the nature of non-degenerate conic.

Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: Identify the type of conic from the discriminant.x2+2ry +y2 + V2x-V2y-2=D0, =45°

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

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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: Find an equivalent quadratic form by using a diagonal rotation, (by the principle axis theorem. I…

A: Given: Q=2x2+4y2+6yz-4z2=80

Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: Find a parametric representation for the lower half of the ellipsoid 5x² + 4y2 + z² = 1.

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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: 1- Sketch the following conic sections: 2-4y+8-4x2- b- y2 -4y-4x2 = 8 C- 3(y-s)2 -7(x+1)2 =1

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: (b) If the conic is rotated counterclockwise about the origin through an angle 3n/4, write the…

A: If the conic is rotated counterclockwise about the origin through an angle 3π4 then write the…

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: A). Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

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Q: O Reduce the equation x + 2ry +y +4 V2x - 4V2y = 0 to the standard form and hence %3D identify the…

A: The given equation is x2+2xy+y2+42x-42y=0

Q: Identify and sketch the conic defined by x2 - 2xy+ y² – x – y=0.

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Q: Find the eccentricities of each of the conics given below. (a)        y = 4x2 − 2019x + 83 (b)…

A: Given that: (a)        y = 4x2 − 2019x + 83 (b)      x2/42 + y2/62=1 (c).     x2/42 − y2/62=1

Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: Identify the conic with the given equa­tion and give its equation in standard form…

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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: Consider the conic (a hyperbola) of equation 7x – 6xy – 7y² + 13x + 25y – 60 = 0 whose graph is…

A: We have to find the equation of the tangent lines to the hyperbola at the given point.

Q: Use 0 = 30° to write -=1 in the x'y´ plane. The- conic. O 18(x)² +16/3x'y – 2()² – 88=0; ellipse…

A: Here we have to use θ=30° to write x24-y29=1 in the x' y' plane. and identify the conic.

Q: o0 the dizcriminant to &dontify what type of conic is below. Rotate the axisto eleminate xy-trm.…

A: Dear learner, As per our guidelines, we can solve one part only. Kindly post other parts as separate…

Q: Consider the conic below x² + 4xy+ 4y² – 2/5x + /5y = 0 and determine what is asked. Translation…

A: Here, the given equation is x2+4xy+4y2-25x+5y=0. Firstly, let's evaluate the angle of rotation, θ.…

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Given data:     The given equation is: x2-3y2=6 The given angle is φ=60°.     The expression for the…

Q: Locate the center of the conic 49y^2– 4x^2 + 48x – 98y – 291 = 0

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Q: 3. Suppose we have Conic described by 2nd-degree equation in the plane : 9y2 + 4x2 = 16 a. Find the…

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Q: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given, 2xy+22x-1=0 Conic section general formula Ax2+Bxy+Cy2+Dx+Ey+F=0 B2-4AC>0→Hyperbola or 2…

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² +…

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Q: Find the required information and graph: 7x² + 3y2 - 42x + 6y – 39 = 0 Classify the conic section:…

A: The conic function 7x2+3y2-42x+6y-39=0. We have to find the following requirements...