Quarter 3 Test Review Checklist Directions: Create your own flashcards. Answer each question. Fold the paper in half (hotdog style) down the middle line. If you so desire, cut each “answer slip” horizontally until you reach the folded line, so you can reveal each answer one at a time. See Ms. Kenny if this direction confuses you. Polar What are the equations for x and y when trying to convert from polar to rectangular? What are 2 important equations to know when converting from rectangular to polar coordinates? (Hint: Pythagorean Theorem is one of them) What does a “-r” mean when plotting a polar coordinate? What are the 3 tests for symmetry? Describe each one. What type of symmetry does a cosine graph have? What type of symmetry does a sine graph have? Explain the process for graphing a polar equation. What type of shape is r = 3 when graphing? What type of shape is graphing? Vector when 4 Vectors have 2 distinct traits. What are they? How do you add or subtract vectors? How do you find the dot product between vectors? What is the equation for finding the magnitude of vectors? What is the formula for finding a UNIT vector? What is the formula for finding the angle between two vectors? How would you plug this into your calculator? When you decompose vectors and perform a vector projection, you end up with v1 and v2. What are the formulas for each? How can you determine if two vectors are orthogonal? How can you determine if two vectors are parallel? What is the formula for a velocity vector (or force vector)? Describe the steps in completing a static equilibrium problem (F1 + F2 + F3 = 0); ex. a weight is suspended from 2 cables, what is the tension in each cable? In word problems, why is it important to take the angle from the horizontal x-axis, starting with the 0 angle? When completing the airplane problems, there are 2 components you need to calculate. What are they and how do you find them? Parametric Explain how you convert a parametric equation into a rectangular equation. (i.e. You are given x = and y =, both in terms of t. How do you turn these into a regular y = in terms of x?) How do you graph a parametric equation? (2 ways!) For parametric word problems, what is the x(t) formula? The y(t) formula? For parametric word problems, how do you calculate how long a ball is in the air? For parametric word problems, how do you calculate when a ball will reach maximum height? For parametric word problems, how do you calculate what the maximum height actually is? For parametric word problems, how do you calculate the distance a ball travels? Sequences and Series Formula for arithmetic rule Formula for arithmetic finite sum Formula for arithmetic infinite sum Formula for geometric rule Formula for geometric finite sum Formula for geometric infinite sum Formula for annuities Describe how you find the formula for an arithmetic sequence if you are given two terms. n Formula for j Describe the process for turning a repeating decimal into a fraction (using what you know about geometric series) Formula for binomial expansion (how does Pascal’s triangle help?) Describe the steps for performing the Principle of Mathematical Induction