MATH 1151 Lecture Notes - Lecture 8: Ellipse, Hyperbola, Cartesian Coordinate System
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Find the domain of polynomial, quotient, and irrational functions. Understand the domain and range of functions, and composition of functions. Find:a. domain of f(x: domain of g(x, domain of h(x, range of h(x, (f(composition)h)(x) Ex: find an expression for the n^th term of the sequence: Find the equation of a line passing through a point, parallel/perpendicular to a given line, written in slope-intercept form. Ex: find an equation of the line that passes through (-1, 3) and is perpendicular to 2x-3y=4. Identify general equations for conic sections as a circle, ellipse, hyperbola, or parabola. 3(x^2)-6x+2y-5=0: 3(x^2)+4(y^2)-8y=0, 2(x^2)-4x+6(y^2)+12y-8=0, x+3y-5=0, 5(x^2)-4(y^2)+5x+4y-12=0, 5(x^2)-5(y^2)=0, 5(x^2)+5(y^2)-10x+10y=0. Sketch graph of an ellipse and identify its center, vertices, major and minor axes. Ex: sketch graph of ellipse and identify its center, vertices, major and minor axes. (x^2)+36(y^2)+4x-72y+4=0. Rewrite rectangular coordinates and equations in polar form and vice versa. Ex: find the rectangular coordinates for (1, pi/3) Sketch the graph of an equation given in polar form.
