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Use traces to sketch and identify the surface x^2=y^2+4z^2


Find the equation of a circle with center at (-1,-3) passing through the intersection point of the two lines: 4x+y-4=0 and x-y-6=0


Two stations, located at M (−1.5, 0) and N (1.5, 0) (units are in km), simultaneously send sound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curve containing the possible location of the ship. 


Write the standard form of equation of parabola given the following properties: vertex (0,0); focus (0,-1); directrix line y=1; and axis of symmetry x=0.


Write the standard form of equation of parabola given the following properties: vertex (0,0); focus (0,-1); directrix line y=1; and axis of symmetry x=0. (use ^2 for "squared";


Write the standard form of equation of parabola given the following properties: vertex (0,0); focus (0,-1); directrix line y=1; and axis of symmetry x=0. (use ^2 for "squared";


Given that x=2cosθ and y=2sinθ evaluate x2+y2


Find the magnitude of the vector v=2i−5j+4k


Find the magnitude of the vector v=2i−5j+4k



According to Kepler’s Laws, planets have elliptical orbits, with the sun

at one of the foci. The farthest Pluto gets from the sun is 7.4 billon

kilometers. The closest it gets to the sun


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