Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in...
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 5x² - 4xy + 5y² - 81 - 0 (a) Identify the resulting rotated conic. hyperbola O parabola O ellipse (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 6x2 - 2xy + 6y2 - 25 = 0 (a) Identify the resulting rotated conic. O parabola O hyperbola ellipse (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) Need Help? Read It Talk to a Tutor
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation 18x2 + 12xy + 13y2 – 48 = 0. Identify the resulting rotated conic and give its equation in the new coordinate system. a Ellipse; 9(x')? +25(v')2 – 48=0 O b. Hyperbola: 10(x')? – 2267')2 - 48 = 0 c. Hyperbola: 9(x")? – 22(y')2 - 48=0 O d. Ellipse: 22(x')> +10(y')2 - 48 = 0 e. Ellipse; 9(x')? +22(")2 – 48=0
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation 2x2 + 12xy – 3y2 – 50 = 0. Identify the resulting rotated conic and give its equation in the new coordinate system. Selected Answer: Ellipse; 9(x')? +967')2-50=0 b.
1 points Use the Principal Axes Theorem to perform a rotation of ases to eliminate the xy-term in the quadratic equation 22° +12y – 3y-50 0, identify the resulting rotated conic and give is op the new coordinate system a Ellipse: -9(x"}+967"-50=0 Ellipse, 7(x")+6019-50 - 0 Hyperbola: -7x"}+6("2 - 50 = 0 d. Ellipse;9(x")+909")2-50 - 0 e Hyperbola: 7(x") - 609") - 50 = 0
Perform a rotation of axes to eliminate the xy-term. (Use X2 and y2 for the rotated coordinates.) x2 + 2xy + y2 + 2x - 2y = 0 Sketch the graph of the conic. - 4 - 2 2 4 - 4 -2 2 4 LUX - 4 - 2 24 -4 -2 4