Prove that the transformation w-sinz, maps the families of ines x=constant and y=constant into two families of confocal central conics.

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: Find a set of parametric equations for the graph of y = 4x² + 2 using the parameter t = x – 3 O x =…

A: Given parameter- t=x-3 Then,  x=t+3

Q: Find the orthogonal projection of y = 8. 4 on W (1)-8} Span

A: The given problem is to find the orthogonal projection of y on the W is span of 2 vectors.

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: b) Let l and l2 be lines in 3 space such that 2. 4 passes through the point with coordinates (3, 4,…

A: