ap calculus - 2018 frq review: des, slope fields & rates

timestamps

• 0:00

  Introduction and Overview

• 0:33

  Calculator-Friendly Problems

• 1:05

  No-Calculator Problems

• 1:37

  Starting Problem 6

• 2:09

  Slope Field Explanation

• 3:12

  Reviewing Slope Fields

• 4:19

  Slope Field Drawing Tips

• 5:20

  Example Slope Calculation

• 6:23

  Estimating Slopes Visually

• 7:31

  Exam Logistics Discussion

• 8:01

  Sketching Solution Curves

• 9:05

  Solution Curve Through (0,2)

• 10:06

  Solution Curve Through (1,0)

• 11:09

  Particular Solution Intro

• 12:13

  Tangent Line Equation

• 13:13

  Point-Slope Form

• 14:15

  Slope Calculation at Point

• 15:17

  Linear Approximation Equation

• 16:19

  Approximating f(0.7)

• 17:50

  Approximation Result

• 19:21

  Simplifying Fractions

• 20:52

  Tying to Graph

• 21:54

  Solving Particular Solution

• 22:27

  Separable Differential Equations

• 24:02

  Separating Variables

• 25:35

  Identifying Separable DEs

• 27:07

  Integrating Both Sides

• 28:40

  Combining Constants

• 29:42

  Solving for y

• 31:14

  Plugging Initial Condition

• 32:49

  Finding Constant Value

• 34:24

  Particular Solution Equation

• 35:59

  Reciprocal and Simplifying

• 37:35

  Constant Sign Changes

• 38:38

  Transition to Next Problem

• 39:40

  Problem 1 Overview

• 40:43

  Rate Functions Explained

• 42:15

  Part A: Entering People

• 43:49

  Integrating Rate In

• 45:24

  Calculator Integration

• 47:28

  Answering in Context

• 49:35

  Part B: People at t=300

• 51:08

  Combining Rates Integral

• 52:44

  People in Line Calculation

• 53:45

  Part C: Time Line Empties

• 55:19

  Simple Rate Division Method

• 56:54

  Accumulation Integral Setup

• 58:28

  Solving for Time x

• 1:00:32

  Part D: Minimum People

• 1:02:06

  Graphing Rate Change

• 1:03:42

  Finding Relative Minimum

• 1:05:15

  Calculating Time of Min

• 1:06:49

  People at Minimum Time

• 1:08:20

  Practice Tips

• 1:09:23

  Possible Exam Topics

• 1:10:27

  BC FRQ Discussion