Let a rectangular a'y'z'-coordinate system be obtained by rotating a rectangular xyz-coordinate system counterclockwise about the z-axis (looking down the positive z-axis) through the angle 0 . Find the 4 %3D x'y'z'-coordinates of the point whose xyz-coordinates are (0,3,0). = Z || ||

Q: The intersections with the abscissa axis of the image function are: f (x) = x2 + 10x + 21

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Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: What kind of transformation results in applying the rule (x, y) → (x – 5, y) in the coordinate…

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Q: If a half-turn centered at F(3,7) is applied to the point A(9,12), what are the coordinates of its…

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Q: If the xy-coordinate axes are rotated , find the XY-coordinates of the point (x,y) = (4,5

A: The new coordinates (X, Y) of a point (x, y) can be found using the following rotation…

Q: Find the points on the graph of z = xy +8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

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Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

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Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: Let u=. (a) Graph u in the coordinate plane, with initial point (0, 0).   (b) Find the length and…

A: (a) A vector u is represented in the plane with initial point Px1,y1 and terminal point Qx2,y2.…

Q: T/f Two parallel lines in the 2d plane never intersect each other

A: Given that two parallel lines in the 2D plane never intersect each other. Here we have to determine…

Q: orthogonal curves of the curves xy=C graph

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Q: If the temperature at the point (x, y, z) is given by T (x, y, 2) = 70 + Se(x² +y}, find the…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.