MATH 2412 Precalculus
North Lake College
David Katz, instructor
Section by Section List of Test Topics For Exam #6 (Chapters 9-10)
The exam will consist of 10 multiple-choice questions from this list of 48 topics from your homework sections.
Note: all conic sections in sections 9-1 thru 9-4 are perpendicular or parallel to the coordinate axes
(9-1) Know the locus definition of a parabola: d(FP) = d(Fl)
(9-1) Know how to use the parabola template/formula on page 725-726
(9-1) Determine the coordinates of the focus of a parabola with vertex at the origin
(9-1) Determine the equation of the directrix line of a parabola with vertex at the origin
(9-1) Decide if the parabola opens left or right, up or down
(9-1) Given the focus of a parabola with vertex at the origin, write an equation of the parabola
(9-1) Given the directrix line of a parabola with vertex at the origin, write an equation of the parabola
(9-2) Know the locus definition of a parabola: d(F1P) + d(F2P) = 2a
(9-2) Know how to use the ellipse template/formulas on page 736
(9-2) Determine the coordinates of the vertices of an ellipse with center at the origin
(9-2) Determine the coordinates of the foci of an ellipse with center at the origin
(9-2) Decide if the major axis of the ellipse with center at the origin is the y-axis or x-axis
(9-2) Given the vertices and/or foci of an ellipse with center at the origin, write an equation of the ellipse
(9-3) Know the locus definition of a hyperbola: d(F1P) - d(F2P) = 2a
(9-3) Know how to use the hyperbola template/formulas on page 745
(9-3) Determine the coordinates of the vertices of a hyperbola with center at the origin
(9-3) Determine the coordinates of the foci of a hyperbola with center at the origin
(9-3) Determine the equations of the asymptote lines of a hyperbola with center at the origin
(9-3) Decide if the major axis (aka transverse axis) of a hyperbola with center at the origin is the y-axis or x-axis
(9-3) Given the vertices, foci, and/or the aymptote line, write an equation of the hyperbola
(9-4) Given the coefficients of a 2nd-degree polynomial equation, classify the graph of the equation as circle, ellipse, hyperbola, or parabola
(9-4) Use completing the square to locate the coordinates of the center of a conic section
(9-4) Given the center, foci, and/or vertices of a conic section, write an equation of the conic section in x and y.
(9-6) Convert a point in rectangular coordinates to polar coordinates
(9-6) Convert a point in polar coordinates to rectangular coordinates
(9-6) Give a second set of polar coordinates for a given point (hint: try changing the sign on r, or adding/subtracting 2π to the q)
(9-6) Convert an equation in rectangular coordinates to an equation in polar coordinates
(9-6) Convert an equation in polar coordinates to an equation in rectangular coordinates
(9-8) Convert an equation in rectangular coordinates to a set of parametric equations
(9-8) Convert a set of parametric equations to an equation in rectangular coordinates
(10-1) Compute the given term of a sequence
(10-1) Compute the given term of a recursively defined sequence
(10-1) Compute the partial sum of a sequence
(10-1) Write a series of terms in Σ notation
(10-1) Test your series in Σ notation by checking the first two or terms of the series
(10-2) Given a series of terms, express the series in Σ notation
(10-3) Decide if a sequence of numbers is geometric or not
(10-3) Compute the given term of a geometric sequence
(10-3) Determine the common ratio of a geometric sequence
(10-3) Determine the initial term of a geometric sequence
(10-3) Compute the sum of a finite geometric sequence
(10-3) Decide if an infinite geometric series has a finite sum or not
(10-3) Compute the sum of an infinite geometric sequence if the sum exists
(10-3) Use a geometric sequence in an applied problem
(10-6) Know how to use factorial notation to evaluate the coefficient of a binomial expansion (see page 851)
(10-6) Expand a binomial expression using the Binomial Theorem
(10-6) Give the specified term of a binomial expansion