Chapter 1 - Limits
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Limits to Infinity 1 (2:31)
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Limits to Infinity 2 (3:50)
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Limits to Infinity 3 (5:39)
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Limits to Infinity 4 (3:53)
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Limits to Infinity 5 (5:07)
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Limits to a Number 1 (3:28)
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Limits to a Number 2 (4:44)
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Limits to a Number 3 (5:35)
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Left and Right Hand Limits 1 (2:35)
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Left and Right Hand Limits 2 (0:47)
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Left and Right Hand Limits 3 (5:34)
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Special Limits (1:47)
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Average Rate of Change (2:11)
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Definition of the Derivative 1 (5:36)
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Definition of the Derivative 2 (5:08)
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Definition of the Derivative 3 (3:54)
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Continuity (4:55)
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Differentiability (2:52)
Chapter 1 Quiz and Explanations
Chapter 2 - Derivatives
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Power Rule (2:49)
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Power Rule Example 1 (2:22)
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Product Rule (2:54)
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Product Rule Example (3:36)
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Quotient Rule (3:39)
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Quotient Rule Example (2:18)
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Quotient Rule Example 2 (3:58)
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Chain Rule (3:56)
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Chain Rule Example (0:48)
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Product and Chain Rule Example (4:31)
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Product, Chain, and Quotient Example (9:37)
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Implicit Differentiation (6:14)
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Implicit Differentiation Example (3:16)
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Derivatives of Logs (4:33)
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Log Derivative Example (1:23)
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Log Derivative Example 2 (1:15)
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Derivatives of Exponential Functions (3:43)
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Exponential Derivative Example (1:24)
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Exponential Derivative Example 2 (1:20)
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Derivatives of Trig Functions (3:09)
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Trig Derivative Example 1 (2:52)
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Trig Derivative Example 2 (3:17)
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Chain Rule with Trig Example (1:50)
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Derivatives of Inverse Trig Functions (4:05)
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Inverse Trig Derivative Example 1 (2:07)
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Inverse Trig Derivative Example 2 (1:41)
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Equation of the Tangent Line (4:36)
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Finding the Equation of the Tangent Line Example (1:49)
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Equation of the Normal Line (4:15)
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Finding the Equation of the Normal Line Example (2:10)
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Mean Value Theorem (MVT) (2:04)
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Mean Value Theorem Example (3:04)
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Intermediate Value Theorem (IVT) (1:41)
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Intermediate Value Theorem Example (1:32)
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Rolle's Theorem (1:12)
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Rolle's Theorem Example (2:39)
Chapter 2 Quiz and Explanations
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Chapter 2 Quiz (0:56)
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Quiz Results
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Question 1 (1:59)
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Question 2 (1:30)
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Question 3 (4:07)
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Question 4 (1:07)
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Question 5 (0:46)
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Question 6 (0:48)
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Question 7 (2:36)
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Question 8 (1:21)
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Question 9 (1:10)
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Question 10 (2:33)
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Question 11 (9:46)
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Question 12 (2:21)
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Question 13 (3:21)
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Question 14 (2:28)
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Question 15 (1:29)
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Question 16 (2:01)
Chapter 3 - Extrema, Critical Points, First Derivative, Second Derivative,, and Graph Analysis
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Increasing, Decreasing, and Constant Functions (7:22)
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Example Increasing, Decreasing, and Constant (3:20)
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Maximum, Minimum, and Critical Points (8:57)
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Maximum and Minimum Example (4:49)
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Finding Extrema and Critical Points (15:19)
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Critical Points Example (3:08)
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Concavity and Points of Inflection (7:18)
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Concavity and Points of Inflection Example (4:59)
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Graph Analysis (16:17)
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Graph Analysis Example (2:01)
Chapter 3 Quiz and Explanations
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Chapter 3 Quiz (0:39)
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Chapter 3 Quiz Results
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Question 1 (3:46)
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Question 2 (3:33)
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Question 3 (2:45)
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Question 4 (2:33)
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Question 5 (1:55)
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Question 6 (3:05)
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Question 7 (1:55)
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Question 8 (1:18)
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Question 9 (2:49)
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Question 10 (2:57)
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Question 11 (3:52)
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Question 12 (1:26)
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Question 13 (2:00)
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Question 14 (2:16)
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Question 15 (1:24)
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Question 16 (2:25)
Chapter 4 - Linear Approximation, Related Rates, and Optimization
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Linear Approximation (4:23)
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Linear Approximation Example (1:39)
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Related Rates (3:53)
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Related Rates - Triangle Example (5:19)
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Related Rates - Cone Example (5:26)
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Related Rates - Cylinder Example (5:05)
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Optimization (6:04)
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Optimization System Example (4:44)
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Optimization - Geometry Example (5:18)
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Optimization - 3D Geometry Example (9:39)
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Optimization - Economics Example (7:45)
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Optimization - Geometry Example with a Twist
Chapter 4 Quiz and Explanations
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Chapter 4 Quiz (0:39)
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Quiz Results
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Question 1 (3:28)
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Question 2 (3:18)
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Question 3 (3:33)
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Question 4 (2:16)
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Question 5 (2:56)
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Question 6 (1:22)
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Question 7 (5:43)
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Question 8 (3:05)
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Question 9 (3:58)
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Question 10 (2:03)
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Question 11 (6:43)
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Question 12 (7:50)
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Question 13 (12:18)
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Question 14 (3:19)
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Question 15 (7:24)
Chapter 5
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Riemann Sums 1 - Introduction and Left Endpoint (9:44)
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Riemann Sums 2 - Right Endpoint (4:37)
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Riemann Sums 3 - Midpoint (7:06)
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Riemann Sums 4 - Trapezoidal (10:33)
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Riemann Sums 5 - Formulas (7:46)
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Antiderivatives 1 - Introduction (4:48)
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Antiderivatives 2 (3:47)
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Antiderivatives 3 - Initial Conditions (2:44)
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Antiderivatives 4 (7:27)
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Antiderivatives 5 and Indefinite Integrals (4:28)
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Integrals of Trig Functions (2:43)
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Integrals Involving Exponential and Log Functions (2:05)
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Integrals Involving Inverse Trig Functions (2:01)
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U-Substitution 1 - Introduction (7:47)
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U-Substitution 2 (3:56)
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U-Substitution 3 (4:38)
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U-Substitution 4 (10:38)
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U-Substitution 5 - Trig Functions (3:13)
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U-Substitution 6 (6:04)
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U-Substitution 7 (3:34)
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U-Substitution 8 - Exponential and Logarithmic (3:43)
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U-Substitution 9 (7:30)
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U-Substitution 10 (3:49)
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U-Substitution 11 - Inverse Trig (5:16)
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U-Substitution 12 (3:20)
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U-Substitution 13 (5:27)
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U-Substitution 14 (4:02)
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Definite Integrals (4:11)
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Definite Integrals 2 (3:18)
Chapter 5 Quiz and Explanations
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Chapter 5 Quiz (0:39)
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Chapter 5 Quiz Results
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Question 1 (2:03)
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Question 2 (2:56)
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Question 3 (1:55)
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Question 4 (0:49)
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Question 5 (1:15)
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Question 6 (3:34)
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Question 7 (3:25)
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Question 8 (2:43)
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Question 9 (7:06)
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Question 10 (2:15)
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Question 11 (2:12)
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Question 12 (3:27)
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Question 13 (2:19)
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Question 14 (1:53)
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Question 15 (1:05)
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Question 16 (0:34)
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Question 17 (2:17)
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Question 18 (3:33)
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Question 19 (2:52)
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Question 20 (4:09)
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Question 21 (1:48)
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Question 22 (1:18)
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Question 23 (6:50)
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Question 24 (2:53)
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Question 25 (2:24)
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Question 26 (3:35)
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Question 27 (1:01)
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Question 28 (2:06)
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Question 29 (2:50)
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Question 30 (1:00)
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Question 31 (3:52)
Chapter 6 - Differential Equations, Exponential Growth and Decay, and Particle Motion
Chapter 6 Quiz and Explanations
Chapter 7 - Areas and Volumes
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Area Under The Curve (6:53)
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Area Under The Curve 2 (10:44)
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Area Between Two Curves (5:15)
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Area Between Two Curves 2 (5:16)
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Area Between Two Curves 3 - Calculator Example (7:45)
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Volume By Revolution Intro and x-axis (5:28)
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Volume by Revolution 2 (4:40)
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Volume of Revolution 3 - About y-axis (1:51)
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Volume by Revolution 4 (3:50)
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Volume by Revolution 5 - About a non-axis line (6:22)
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Volume by Revolution 6 - Washer Method (6:12)
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Volume by Revolution 7 - Additional Examples (6:48)
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Volume by Revolution 8 - Geometric Example (6:25)
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Volume by Revolution 9 - Difficult Washer Example with Calculator (9:00)
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Cylindrical Shells (6:05)
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Cylindrical Shells Example (4:53)
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Cross-Sectional Solids (10:41)
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Cross-Sectional Solids - Semicircle Example (3:16)
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Cross-Sectional Solids - Square Example (1:25)
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Cross-Sectional Solids - Triangle Example (2:16)
Chapter 7 Quiz and Explanations
2019 Free Response Questions
