Analytic Geometry

a₁ algebraic algebraic curves analytic geometry arctan asymptotes average points ax² axis called completing the square conic coordinate axes coordinate planes corresponding cos² curve cylinder defined determined directed distance direction angles direction cosines direction numbers draw the graph ellipse equa equal Example find the coordinates Find the equation following equations formula function given points HINT horizontal hyperbola hyperbolic functions inflection point intercepts intersection latus rectum linear locus loga logarithms loge mid-points natural logarithms negative obtained odd function ordinates origin P₁ pair parabola parallel parametric equations perpendicular polar coordinates polar equation polynomial positive direction Prob PROBLEMS radians rectangular coordinates result rotated satisfy segment Show shown in Fig sin² sinh slope Solution Fig solving student surface tangent tion triangle vertex vertical Write the equation x-axis xy-plane y-axis y-intercept y₁ yz-plane zero