6. Find the image equation of the line –2x + y + 3 = 0 under the rotation about C = (1, 1) at an angle e = 90°.

Q: Determine which of the following parametric equations match the graph.…

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Q: Find the polar equation of the line y = 4x + 6 in terms of rand 0.

A: We have to convert the given rectangular equation into polar equation.

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 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: Find the equation in polar coordinates of the line through the origin with slope 1/2.

A: Given: Polar coordinates of the line through the origin with slope 1/2.

Q: Convert the equation x' + y' =4y-3x to polar coordinates. Isolate r in your final answer.

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Q: Find the equation in polar coordinates of the line through the origin with the slope 1/5 .

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Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: Find the parametric equations for the line through the point (0, 1, 2) that is perpendicular to the…

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Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

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…

Q: Find the angle of rotation in each problem such that the transformed equation will have no x'y'…

A: Consider the given equation, x2+3xy-x+y=0 Now, compare with the general equation,…

Q: Find the parametric equations of the line L2 that passes through the point P(-9, 1, -6) and is…

A: Given that the line L2 passes through the point -9,1,-6 and is parallel to the line given parametric…