1. Identify the conic section, convert to standard form, and then give a rough sketch (a)...
Find the standard form of ? + 2x - 4+1 = 0(Remember that the conic section formulas are given at the top of this exam). 0 (x + 1)² – (y – 1)² = 0 O(x + 1)² =y 0 (x + 1)2 = y-1 0 (x + 1)² -% =0
1.) Put the conic in standord form by completing the square,
please identify which conic it is, and then graph the conic
section. Also label each relevant point or asymptotes. Sketch your
x - y axis and the conic, and labl the scale on the axes.
example sketches:
2.)
c. -9x2 + y2 – 72x – 153 = 0 Ex. 1 Sketch (x-5) V =2 center: (5,2) radius: 2 Center , horizontal: 2 units left/right 3 units up/down (1,3) 13,0)...
3. (12) Identify the conic section and complete the square to give the standard equation given 3x? - 10y2 + 36x-20y+ 38 = 0.
4. Identify and sketch the conic sections and quadratic surfaces of equation Q(x) - 1, when Q(x) is a quadratic form defined by one of the following matrices (b) 1 2 1 (c)0 0 0 3 0 -1 2 4 -3 (d)4 1 3
4. Identify and sketch the conic sections and quadratic surfaces of equation Q(x) - 1, when Q(x) is a quadratic form defined by one of the following matrices (b) 1 2 1 (c)0 0 0 3...
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
Consider the 3-D conic section Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
Consider the 3-D conic section Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
Find the eccentricity; identify the conic; give an equation of the directrix; the center, vertices, foci, and sketch the conic. r=20/(6+4sinϴ)
Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
4. Identify and sketch the conic sections and quadratic surfaces of equation Q() when Q(r) is a quadratic form defined by one of the following matrices (b)1 2 1 (c)0 0 0 3 0 -1 2 4-3 (d)4 1 3 3 3 -1 2 4