Find the equation of the orthogonal of the set of the x² + (y + c)² = C² curves:

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Find an equation for the contour of f(x, y) = 2x²y + 8x + 20 that goes through the point (1,−1).…

A: The equation of the contour that goes through (1, -1) is:2x2y+8x−6=0Explanation:Given function…

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 parametric equations for the line in which the planes x-2y+4z=2 and x+2y-2z=6 intersects

A:

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: Determine the point on the graph of z = x² + y²+ 10 closer to the plane x + 2y-z = 0

A:

Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

A:

Time and time related variables in engineering

Time is the event progression starting from past to present and then, future statistically. The time-related variable is any particular value in relation to time to assess its changes on a specified (XY) plane.