3. Suppose we have Conic described by 2nd-degree equation in the plane : 9y2 + 4x2 = 16 a. Find the Conic representation in projective plane P2 b. Calculate its tangent line at (0,4) in the projective plane and verify the result by comparing it to its Euclidean representation! c. Find and compare the answer with the classical approach through Calculus in Cartesian coordinate

Q: 1. Let l be the line of the extended Euclidean plane through the points P (1,2,3) and Q = (1,1,1),…

A: Note: According to our guideline we will answer the first three subparts of the question as the…

Q: The :. conic section xy a constant .identify (25+ w2) =D2C+ w is

A: The given equation is xy=2x+5y-25+w2, where w is a constant.   We have to identify the type of the…

Q: 3. Transform into standard form and identify the conic sections: a) 92²-4y²-36x-24y-35-0. b) x²-3xy…

A: 9x2-4y2-36x-24y-35=0

Q: 2) Find the equation of the line parallel to M = 3i-2j+4k that contains the point (3,-1,-2) in (a)…

A: Concept: The equation of the line passing from through the point (x0,y0,z0) and parallel to the…

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

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Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

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Q: Write an orthogonal change of coordinates converting the equation of the conic 3x2+3y +3z+2ry+2rz…

A: Given equation , 3x² + 3y² + 3z² + 2xy + 2xz+2yz = 1

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

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Q: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

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Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: Convert parametric equations to a Cartesian X = tvo cose y = tvosine - gt² 2 X = y = - cost 2 sint +…

A:

Q: 4 1-2 sin 0 equation of the conic (b) Given r=- Find the distances from the pole to the vertices and…

A: The given curve is r=41-2sinθ. To find: Distances from the pole to the vertices, equation in…

Q: Find the point on the hyperbola x²-9y² 9 where the line 5x + 12y = 9 touches it.

A: Solving                  5x+12y=9  or            y=9-5x12   and   x2-9y2=9  We have…

Q: Write the name of the conics giver by poloar curve r=6/(2+sin(t)) a) Determine the vertices in the…

A: We need to write the name of the conics given by the polar curve r=6/(2+sin(t)). Also, we need to…

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: x=-2t and y=2t -1 for -2St<2 Part: 0/ 2 Part 1 of 2 (a) Use the parametric equations to compute x…

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Q: Convert the line determined by the symmetric equations (x + 4) = x(t) = y(t) = z(t) = y-4 -8 to…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

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Q: 2) x2+12xy-4y2 = 30 Just draw by finding the reduced equation

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Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: SKetch the Cuove in the Complex Plane given by 12-3) = 1z+31| %3D

A: The detailed solution is as follows below:

Q: (b) Given ra 1-2 sin 0 equation of the conic Find the distances from the pole to the vertices and…

A: The given polar curve is  r=41-2sinθ. To Find: Distance from the poles to the vertices. To Find:…

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

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Q: Study and draw the conic section Q(x, y) = 13x² + 13y² — 10xy = 36. -

A: Conic sections (including degenerate ones) are the sets of points whose coordinates satisfy a…

Q: Identify and draw the conic r(2 + sin 0 ) = 6.

A: In this question, we have to identify the conic and draw it.