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Q: What are the coordinates of the image of trapezoid ABCD after a 90° rotation about the origin?

A: The image of the trapezoid ABCD after 90˚ rotation about the origin :

Q: x²+ 4 1 1 25 4 || +

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Q: what is the directrix of this? (x-4)²=-24(y-2)

A: The given equation is  (x-4)2=-24(y-2)

Q: 6. Convert your pair of complex numbers to polar form.

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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: If there is a 60° angle from the positive x-axis to the positive x′-axis, explain how to obtain the…

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Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

Q: What do I do after substituting the expressions for x and y from the rotation formulas into the…

A: The rotation formulas for co-ordinates are if the coordinate is (x,y) then rotate the axis into 90°…

Q: x? + y? = 13 x2 = 1 16 4

A: The given equations are: From equation (i), we get Substituting this value in (ii), we get

Q: 3. Determine the lengths of the radius vectors of the point P (2, 1) of the ellipse 27x² + 3y²-54x -…

A: The center of a ellipse (x-a)2/c2+(y-b)2/d2=1 is at (a,b).

Q: Derive the formula of the explicit method used to solve parabolic PDEs? Draw the computational…

A: We know that,  A parabolic partial differential equation is a type of partial differential equation.…

Q: Solve the problem. Describe all solutions of Ax = b, where 2-5 31 A= = [] = [] -2 6-5 and b 4 7 0,…

A: Given: A=2-53-26-5-470 and b=-38-9. To Do: Describe the general solution in parametric vector form.

Q: x + y = 3 x² + y? = 5

A: we can solve the given conic equations  by  using the substitution method.

Q: Dados los vectores u=2i-3j+4k y v=(4,1,-2) , calcular la norma (módulo) del vector u - 2v V37

A: Given: u=2i-3j+4k v=4,1,-2

Q: Hi this is only the circulation. Can you also provide the flux for the problem? Please also keep the…

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Q: Solve conic equation

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Q: x² = 1 = 1 II 4. 4, +

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

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

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Q: Find the general solution of the Poison equation with Cartesian coordinates with only one variable.

A: As per the question we have to find the general solution to the following one-dimensional Poison…

Q: Write all of the solutions to z* =-2+2v3i in both polar form and a + bi form.

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

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

Q: How does one go about solving this? I could use some help please. 4 5 Assume s = 0 corresponds to…

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Q: Determine the new equation after rotated parallel to the principal axes for the equation below and…

A: Given The given equation is 2x2+4xy-y2=24. The general equation of two degrees is…