Find the regions of the (x, y)-plane where the equation ey. + e*. dxðy + 2e2". +x³. + e*-Yu = 0 ду | is parabolic, hyperbolic or elliptic. Sketch these regions.

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: please solve

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Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane,…

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Q: Cоmрute (x + y) dz, where is the portion of the parabola C y = 4 – x2 from -2 to 1+3i.

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Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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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: Integrate counterclockwise dz, C the circle with z2 + 16z + 63 center –7 and radius 2. dz z² + 16z +…

A: Use Cauchy Residue theorem to evaluate this integral.

Q: Find the distance between the skew lines with parametric equations x=3+t, y=2+6t, z = 2t, and…

A: Given :x=3+ty=2+6tz=2tx=2+2sy=4+14sz=-2+5s

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.