Question3) Rotate the coordinate axes such that the coefficient of xy term in the equation has to be zero. 7x - 6V3xy +13y² – 16 = 0

Q: Write the equation x2 - 4xy + y2 - 3 = 0; θ = 45°in terms of a rotated x′y′-system using θ, the…

A: Given: x2 - 4xy + y2 - 3 = 0; θ = 45°

Q: 1. Put the following equations in standard form and find the center point and the radius: a) x-2x+y…

A: Given that

Q: b) Find the counter-clockwise angle of rotation of axes to remove the xy term in the equation 12x² +…

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Q: 4. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards…

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Q: 2 1- -3 -2 -1 B. -1 -2 The midpoint of AB = ([ ? ], [ ]) %3D Enter 3. 2. A.

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Q: A plane flies 2400 miles in 6 hours, with a tailwind all the way. The return trip on the same route,…

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Q: 3. Given the equation 5x + 2y-10x + 8y + 8 = 0. Find the coordinates of the center, foci, vertices,…

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Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD3AB. Find…

A: Given problem:- A(1, 1) and B(2.-3) are two points and D is a point on AB produced towards B such…

Q: 6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D…

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Q: Find a parametric representation of the solution set of the linear equation.3x1 + 2x2 − 4x3 = 0

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Q: Write the equation 23x2 + 26√3xy - 3y2 - 144 = 0; θ = 30° in terms of a rotated x′y′-system using θ,…

A: Given Data The equation is 23x²+26√3 xy-3y²-144=0. The angle is θ=30°.   Put the value in…

Q: Write the equation x2 - 4xy + y2 - 3 = 0; θ = 45° in terms of a rotated x′y′-system using θ, the…

A: Given

Q: b) Find the counter-clockwise angle of rotation of axes to remove the xy term in the equation 12x² +…

A: Given.

Q: Eliminate the parameter t to find a Cartesian equation for: 3D² y = 3 + 5t The resulting equation…

A: Given that: x=t2…

Q: The value of for which the equation 2 u + 8 Ury + a Uyy %3D becomes Parabolic 4 16 8. 2.

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Q: * ifr = 8 sece then the cartesian equation is

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Q: A planet's orbit follows a path described by 16r + 4y? = 64. A comet follows the parabolic path y =…

A: Given: A planet's orbit follows a path described by  16x2+4y2=64 A comet follows the parabolic path…

Q: 1. Give the coordinates of the center, foci, vertices, and th equation. x2 a. y2 =1 11 - 25 x2 b. 9…

A: Given: (a)   x225-y211=1 (b)   x29-y27=-1 (c)   9x2-4y2=36

Q: Wrte cach equation In expotentiai form. 16) logs=-3

A: 16. Given: log3127=-3 Identity of exponents: logab=c can be expressed as ac=b.

Q: If 4y = -3x? – y² then find at the point (1, –-3) in simplest form. %3D Answer: Submit Answer

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Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: Solve the trigonemetric form. x4-2U3 x° + 4 = 0 equation. Leave your Solution in %3D

A: x4 -23x2 +4 = 0              (1)Replace x2 by yy2 -23y +4 = 0              (2)Solve (2) by…

Q: Find the permateric equation of the line through point P(-3,-2,1) parralel to the line…

A: The parametric equation which passes through a point x0, y0, z0 and parallel to pointa, b, c is…

Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

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Q: The geometric representation of the equation iz +2-2i = 16 is a circle whose center is. %3D

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Q: Find the parametric equations and the symmetric equations of the line that passes through the points…

A: Given: A line is passing through the points P-1, 4, 3 and Q8, 10, 5.

Q: bz+ bz=c, b0, be a line in the complex plane, w the reflection of the point through the line then

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Q: 19. What is the coordinate for point C? (TEKS 6.11A, RC3, RS) А. (1, -2) В. (-1, -2) С. (1, 2) D.…

A: Given graph :

Q: Formulate this problem as an LP (do not solve, just formulate please)  There are currently 3…

A: The given co-ordinates of machines are P1=10,15,P2=20,15,P3=40,5 To formulate the given Lp problem…

Q: A child enters a carousel that takes one minute to revolve once around. The child enters at the…

A: Given, Initial position of the child = (0,1) Time taken by the carousel to revolve one round = 1 min…

Q: Solve the equation Ax = p, or show that the equation is inconsistent. Write your solution in…

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Q: Pls help ASAP

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Q: 6. The picture is aligned with the coordinate axes such that point D is at the origin (0,0) and…

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Q: the x'y' coordinate system is rotated O degrees from the xy coordinate system. the coordinatkes of a…

A: We have (x,y) = (7,7)  Angle of rotation =45°  New coordinate = (x',y')

Q: Express the equation in rectençular coordinates

A: The given polar equation is r=asinθ. We have to write the given equation in the rectangular form.

Q: Find the missing coordinate so that the point becomes a solution to the given equation.   (4,y)4,y…

A: To find the missing coordinate.

Q: Q1:- Find the Cartesian coordinates for the 3Tt 2:- (-1,- TC 1:-(2,-) 3:- (2,- 2.

A: Due to our guidelines I am solving only first three questions  Please repost other questions

Q: Write the equation 23x2 + 26√3xy - 3y2 - 144 = 0; θ = 45° in terms of a rotated x′y′-system using θ,…

A:

Q: 2 -3 -2 -1 2. B. -1 -2 The midpoint of AB = ([ ? ], [ ]) %3D 3. A,

A: In the graph, the coordinate of the points A and B are, A=-2,1 B=1,-1 Here, the objective is to find…

Q: A straight line of equation y= mx+c is represented by Iz+3|= Iz+jl where z is a complex number.…

A: We know that z=x+jy and z = x2+y2 Consider z+3 = z+jx+jy+3 = x+jy+j(x+3)+jy = x+(y+1)j(x+3)2+y2 =…

Q: when the axes are rotated through an angle x/4,find the transformed equation of 3x2+10xy+3y2=9

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Q: When the axes are rotated through an angle x/4,Find the transformed equation of 3x2+10xy+3y2=9

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Q: when the parameter is eliminated from the equations x=t/2, y=t^3-4x+1 the resulting equation

A: The parametric equations are the group of equations with one or more variables having one common…

Q: Question3) Rotate the coordinate axes such that the coefficient of xy term in the equation has to be…

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Q: 5. What is the length of the minor axis given by the equation + (3+2) (y-1) = 1? 8 units O 2 units O…

A: Given equation of ellipse:x+224+y-1216=1 To find out: lenght of minor axis.

Q: The general second-degree equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, B ≠ 0 can be rewritten as an…

A: The axes of a co-ordinate system can be rotated by keeping the origin same. This rotation is useful…

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is:

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Q: Eliminate the parameter t to find a Cartesian equation for 11 t -19 - 2t The Cartesian equation has…

A: A detailed solution is given below.

Q: A child enters a carousel that takes one minute to revolve once around. The child enters at the…

A: Please find attachment for the details solution