Determine the angle of rotation necessary to transform the equation in x and y into an equation in X and Y with no XY-term. 10x+ 7xy+10y2+ 1I=0 - Blank 1 degree

Q: a) Find the parametric equation of the line that passes through points S (2,-1,3) and T (-1,1,-2).…

A: We have to do the complex number problem and equation of line

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: The general form of quadratic equation is  Ax2+Bxy+Cy2+Dx+Ey+F=0, B≠0 The angle is  cot2θ=A-CB The…

Q: Perform a rotation of axes to eliminate the xy-term. (Use x2 and y2 for the rotated coordinates.)…

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Q: Find the image of (2, -2) obtained by translating 2 units up, followed by a rotation of 90°…

A: Given point is : 2,-2 To find image of 2,-2 obtained by translating 2 units up, followed by a…

Q: Find the polar coordinates, 0s0<2n and r <0, of the following points given in Cartesian coordinates.…

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Q: L_J_. Q P' 5 -4 -B -2 -1 -1+ 4 -3- Slדר R This image is rotated how many degrees around the origin?

A: A quadrilateral PQRS and image P'Q'R'S' are shown in the figure. The coordinates of PQRS are, Px1,…

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: We have to determine the appropriate rotation formulas so that new equation contains no xy-term:…

Q: 9. Is AP' Q' R'a 270° rotation of APQR about the origin? Explain. Ay 6 R R' -6 -4 -2 2. 6.

A: Find the coordinates from the graph

Q: Find the polar coordinates, 0s0<2x and r20, of the following points given (a) (3, 3/3) (b) (- 2/3,…

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Q: Q.3) Use the polar coordinates to evaluate [ (a+ 20) dydz A)

A: Sketch the region and find range of variable in polar coordinates system.

Q: A. Convert the rectangular coordinate to polar coordinate with r > 0, and 0<0<2n. (-16.-/2)

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Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: Definition used -                                Ax2+Bxy+Cy2+Dx+Ey+F=0 , B≠0…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A: Given equation is 16x2+8xy+8y2-13=0 Angle of rotation is ϕ to eliminate the xy term. The new…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: Find the polar form, 0 < 0 < 2n, of the Cartesian coordinates: (3,3)

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Q: Find the image of (2, –2) after a clockwise (active) rotation about the origin by an angle 0 = 1/4.…

A: Find the image of (2,-2)?

Q: 12. Applying the concept of rotation of axes, what must be the angle of rotation of the x and y axes…

A: This is a problem of vector calculus. Based on the general concept will substitute x and y value in…

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: The general form is  The angle is  .

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: If x and y axis are rotated  through an angle θ , the coordinates (x, y) of a point P relative to…

Q: 4 Find the polar coordinates, -≤0 < and r≥ 0, of the following points given in Cartesian coordinat…

A: As you have mentioned I am answering problem (4) Remember : Conversion formula for Cartesian (x, y)…

Q: esian to polar co-ordinates 2), 4x²=y²-44+8

A: We will use appropriate transformation from Cartesian to polar to transform the equation into a…

Q: 1. a. Sketch shapes congruent to shapes I and J shown below by using a reflection in a plane for…

A: Given Shape

Q: Which of the following shows the coordinates of the given point after a rotation of 180° about the…

A: This is a simple question based on geometry which could be solved by using basic knowledge of the…

Q: Rewrite the Cartesian equation 5x + 8y = 6 as a polar equation. %3D r(0) = Enter theta for 0 if…

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Q: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

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Q: 3. Find the polar form of the Cartesian equation: x² + y² = (3 + 2x)² %3D

A: Solution-

Q: Which of the following would be the coordinates of the image of C(-7,0) after a rotation by 90…

A: Coordinate after rotation

Q: Find all solutions to a) z^4=i and b) w^3=8 using polar form

A: (a)

Q: Q2) Replace the following polar equations by equivalent cartesion equations and identify their…

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

Q: 6. Find the image equation of the line -2x +y + 3 = 0 under the rotation about C = (1, 1) at an…

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Q: Convert 2x + 5y^2 - 6y = 9 to a polar equation.

A: To convert 2x+5y2-6y=9 in a polar equation

Q: et z -4-i and w = i be given. Find zw and in the cartesian form ,if possible, by using he polar…

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Q: V3 v3 Let z -i and w = :-i be given. Find zw and in the cartesian form ,if possible, by using the…

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Q: Perform a rotation of axes to eliminate the xy-term. (Use x2 and y2 for the rotated coordinates.) xy…

A: Given equation xy - 6x -2y = 0

Q: V3 V3 i be given. Find zw and in the cartesian form ,if possible, by using 1 1 Let z i and w = 3 4 4…

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: Plot the points with polar coordinates 2, and (-4, - 2n) using the pencil. 5m 6. 2. Sn 4m Sn 一6

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Q: Q6: Find the Cartesian coordinates of the following points (given in polar coordinates) a- (-3,…

A: (a) Given data is : -3,5π6 To find the cartesian coordinate from the given polar form. Here…

Q: Perform a rotation of axes to eliminate the xy-term. (Use x, and Y2 for the rotated coordinates.) xy…

A: Here we use the rotational matrix.

Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. ( a) ( 6, π/6)…

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Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

Q: Which of the following are possible polar coordinates for the point P with rectangular coordinates…

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Q: Graph the image of square JKLM aftera rotation 90° counterclockwise around the origin. 6. 2. 10 -2…

A: When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes…

Q: AJKL is shown. What is the image of point J after a 270° counterclockwise rotation about the origin?…

A: Given,

Q: Find the polar coordinates of the given Cartesian coordinates where r > 0 and 0 <0 < 2n. а. (-3,3)…

A: We know  r = √(x2+y2)  angle depends on quadrant of given Cartesian coordinates

Q: Find the polar coordinates, 0s0<2n and r20, of the following points given in Cartesian coordinates.…

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Q: What is the image of (-2,2) under the rotation about the origin at an angle e=180°? O (2,-2) (-2,2)…

A: Given that

Q: Plot the points whose polar coordinates are given. (a) 2, 2 (b) 4, 3 5n (c) -3, (d) -4, 4 2 3 3. 3n…

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Q: 4. (a) What is the composition of a 90 degree rotation about the origin, followed by a 90 degree…

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