Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ = π/4 and φ = 3π/4 .

Q: The moon orbits aruund the Earth (which orbits around the Sun) in a clock wise fashion at a distance…

A: Let Earth(0,0) be the center of the orbit of moon and radius is of 0.2 AU in clockwise direction.…

Q: Find the distance between the point (p, 4p) and the parabola y? = 2px, where p is a fixed positive…

A: let the point on parabola be A= (x, y)  B = (p, 4p) Thus,  AB = x-p2+y-4p2 but parabola is y2=2px…

Q: A baseball is launched into the outfield on a parabolictrajectory given by y = 0.01x(200 - x). Find…

A: Given ------(1)   The average value of a functionon an interval is given by ------ (2) From the…

Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. Ox-y=31-2 Ox-4:…

A: Given that:t=4x+1To find parametric equation for y=12x+5

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

A:

Q: x = 4t – t°, y = 2 – 3t

A: We have the parametric equation: x = 4t - t3 ........................... (1) y = 2 - 3t…

Q: Find a parametric equation from the given conditions: Parabola with vertex at (2,-3) and opens…

A: Given that the vertex is (2,−3), we have (h=2) and ( k = -3 ).So, our equation becomes:…

Q: Find the parametric equations of the line tangent to the curve of intersection of the surfaces x² +…

A: The tangent to the intersection of the curves: f(x, y, z)=0, g(x, y, z)=0 is parallel to the vector:…

Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

A: