Consider the elipse with equation x^2+4y^2 = 4  a) Find a paramentrization of the ellipse that traverses in a clockwise direction exatly once, starting from (0,1).

Find the point(s) on the ellipse 4x² + y² = 4 that are farthest from the point (1,0).

Find the point on the ellipse 4x2ty3=4 that are farthest away from the point (1,0) 4x27y2-4

Sketch the Ellipse with the equation x^2/81 + y^2/16 = 1

compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation  9x^2 - y^2/16 = 1 by 2 unit(s) left and 4 unit(s) up. A parametrisation is x = ? y = ?

The ellipse 15x^2+2x+y^2=1 has its center at the point (b,c) where b = c=

Find an equation in standard form for the ellipse with center at (8, 6), horizontal major axis of length 6 and passes through the point (9, 5).   please show work **

for the ellipse 4x^(2) +y^(2) +24x -2y +21 = 0, find its area

The equation x^2+ xy + y^2 = 1 forms an ellipse. In the second quadrant, the line tangent to the ellipse at acertain point has a slope of -3. Find the exact (no approximations) coordinates of this point.